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Keywords = magnetic dipole–dipole interaction

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19 pages, 5600 KB  
Article
Superchiral-Field-Enhanced Photoinduced Force Microscopy for Nanoscale Chiral Characterization via Magnetic-Dipole Excitation
by Xu Wang and Guanghao Rui
Photonics 2026, 13(8), 734; https://doi.org/10.3390/photonics13080734 - 31 Jul 2026
Viewed by 277
Abstract
The chiral interaction between light and matter is intrinsically weak at the nanoscale, which leads to a sensitivity bottleneck in the detection of chiral samples by photoinduced force microscopy. To address this issue, we propose an enhancement strategy that combines a semiconductor tip [...] Read more.
The chiral interaction between light and matter is intrinsically weak at the nanoscale, which leads to a sensitivity bottleneck in the detection of chiral samples by photoinduced force microscopy. To address this issue, we propose an enhancement strategy that combines a semiconductor tip with a superchiral optical field to improve the optical force response in nanoscale chiral detection. Compared with a conventional metallic tip, a silicon tip can generate a larger optical force difference under left- and right-handed circularly polarized illumination. This enhancement mainly arises from the more pronounced magnetic response of the silicon tip, which increases the contribution of the magnetic dipole term to the total optical force. Furthermore, when the incident field is changed from a circularly polarized field to a superchiral field, the optical force difference acting on the same tip can be further increased by more than one order of magnitude. Relative to the reference case of a gold tip excited by circularly polarized light, the combination of a superchiral field and a silicon tip enhances the optical force difference by nearly two orders of magnitude. Analysis based on the dipole approximation shows that this enhancement originates from the synergistic effect of two factors: the high-refractive-index silicon tip provides a stronger magnetic response, while the superchiral field further strengthens the coupling between the localized chiral field and the tip and effectively excites the magnetic dipole and electromagnetic coupling terms, thereby jointly amplifying the chiral optical force signal. This work provides a new route for the highly sensitive detection of chiral materials at the nanoscale and may further extend the applications of photoinduced force microscopy in the characterization of chirality and optomagnetic interactions. Full article
(This article belongs to the Section Optical Interaction Science)
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23 pages, 6675 KB  
Article
Influence of Near-Field Effect on Magnetic Hysteresis in Magneto-Active Elastomers
by Pawan Patel, Dirk Romeis and Marina Saphiannikova
Polymers 2026, 18(14), 1726; https://doi.org/10.3390/polym18141726 - 14 Jul 2026
Viewed by 422
Abstract
Magneto-active elastomers (MAEs) are polymer composites consisting of magnetic microparticles embedded in an elastomeric matrix. These materials exhibit strong magneto-mechanical coupling under external magnetic fields, resulting in tunable stiffness, reversible shape changes, and nonlinear magnetic responses. This study presents a multiscale theoretical framework [...] Read more.
Magneto-active elastomers (MAEs) are polymer composites consisting of magnetic microparticles embedded in an elastomeric matrix. These materials exhibit strong magneto-mechanical coupling under external magnetic fields, resulting in tunable stiffness, reversible shape changes, and nonlinear magnetic responses. This study presents a multiscale theoretical framework to investigate the origin of magnetic hysteresis in MAEs, with emphasis on the evolution of the internal microstructure during magnetization and demagnetization. The total energy of the system is formulated as the sum of magnetic and micromechanical contributions, while macroscopic deformation of a cylindrical MAE sample is fully constrained. Particle interactions are modeled first via pure dipole–dipole interactions and then extended to include higher-order near-field effects at close particle separations. The results show that hysteresis in MAEs with magnetically soft particles primarily arises from trapped microstructural rearrangements, leading to distinct particle configurations under increasing and decreasing magnetic fields. Parametric studies demonstrate that particle volume fraction, sample aspect ratio, and matrix stiffness strongly influence the microstructure evolution and the width of resulting hysteresis loops. The proposed framework provides a solid foundation for modeling magnetic hysteresis, which is essential for the design and optimization of MAEs in practical applications. Full article
(This article belongs to the Section Smart and Functional Polymers)
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21 pages, 3180 KB  
Review
Microwave-Assisted Synthesis of Polypyrrole for Energy Storage Application
by Chidera Nwosu and Jude O. Iroh
Energies 2026, 19(12), 2839; https://doi.org/10.3390/en19122839 - 15 Jun 2026
Viewed by 493
Abstract
Microwave-assisted polymerization is a transformative technique for synthesizing conductive polymers such as polypyrrole (PPy). Unlike conventional chemical or electrochemical methods that rely on external heating or electrode mediated oxidation, microwave irradiation induces volumetric and selective heating through dipole orientation and ionic conduction, which [...] Read more.
Microwave-assisted polymerization is a transformative technique for synthesizing conductive polymers such as polypyrrole (PPy). Unlike conventional chemical or electrochemical methods that rely on external heating or electrode mediated oxidation, microwave irradiation induces volumetric and selective heating through dipole orientation and ionic conduction, which leads to faster reaction kinetics, improved uniformity and higher yields. This review highlights the fundamental mechanisms governing microwave polymer interactions, compares conventional and microwave-assisted polymerization routes and traces the evolution of pyrrole polymerization. Special emphasis is placed on the microwave-synthesized PPy composites and their superior electrochemical performance in energy storage, sensing and biomedical applications. Case studies of graphene/PPy, PPy–metal oxide (e.g., SnO2@PPy nanotubes) and magnetic ferrite hybrids (e.g., BaFe12O19/PPy) nanocomposites demonstrate enhanced electrical conductivity, specific capacitance and more uniform nanostructures. Beyond energy storage, microwave polymerization techniques have led to the development of PPy composites that are used for sensing, antimicrobial activity and photothermal cancer therapy, highlighting the technique’s versatility across biomedical sciences. Reactor scale up, temperature and pressure control under sealed conditions, reproducibility and deeper mechanism understanding of how microwave radiation influences nucleation, chain growth, doping and charge transport were identified as the outstanding challenges that must be addressed to transform microwave-assisted synthesis from pilot to industrial scale. Overall, microwave-assisted polymerization is on its way to becoming a mainstream, energy efficient method for manufacturing high performance polymer composite materials. Full article
(This article belongs to the Section D: Energy Storage and Application)
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24 pages, 9461 KB  
Article
Tuning Dielectric-Magnetic Synergy in (Fe/TiC)@C Nanocomposites via Phase Composition Control for Broadband Microwave Absorption
by Nan Shen, Wenwen Wang, Jipan Zhang, Huawei Rong, Xinghao Qu, Muhammad Javid, Muhammad Farooq Saleem, Xiang Li, Muhammad Irfan, Sateesh Bandaru, Xuefeng Zhang and Gulmira Mustafayeva
Nanomaterials 2026, 16(11), 663; https://doi.org/10.3390/nano16110663 - 24 May 2026
Cited by 2 | Viewed by 1034
Abstract
The development of cost-effective and resource-rich materials is crucial for the practical application of microwave absorbers. This study demonstrates the successful fabrication of core-shell Fe and TiC nanoparticles encapsulated within carbon shells using the arc discharge method. The samples are designated as Fe3Ti1 [...] Read more.
The development of cost-effective and resource-rich materials is crucial for the practical application of microwave absorbers. This study demonstrates the successful fabrication of core-shell Fe and TiC nanoparticles encapsulated within carbon shells using the arc discharge method. The samples are designated as Fe3Ti1 and Fe1Ti3, where the numbers indicate the Fe-to-Ti mass ratio in the precursor (e.g., Fe1Ti3 = 1:3 by mass). In the arc discharge synthesis mechanism, the mass ratio of Fe to Ti in the raw material was adjusted from 3:1 to 1:3 to optimize the Fe/TiC/C interfaces under a CH4 forming gas atmosphere. TEM analysis reveals spherical and polyhedral nanoparticles with diameters of 30–50 nm and a uniform carbon shell thickness of 3–4 nm. Raman spectroscopy shows that the Fe1Ti3 sample has a higher defect density (ID/IG = 1.13) compared to Fe3Ti1 (0.87), indicating a more disordered carbon structure. Magnetic measurements yield saturation magnetization values of 87 emu/g for Fe3Ti1 and 50 emu/g for Fe1Ti3, with coercivities of 190.72 Oe and 203.65 Oe, respectively. When composited with paraffin at 50 wt% loading, the Fe1Ti3 sample exhibits superior microwave absorption performance, achieving a minimum reflection loss (RL) of −25.22 dB at 8.23 GHz and an effective absorption bandwidth (RL ≤ −10 dB) of 4 GHz (6.5–10.5 GHz) at a thickness of 2.5 mm. This enhanced performance is attributed to the synergistic effect of multiple loss mechanisms, including conduction loss within the three-dimensional core-shell architecture, interfacial polarization at the heterojunctions between the core and the carbon shell, and magnetic loss induced by ferromagnetic behavior associated with defects in both the shell and carbon atomic layers. The magnetic loss in the (Fe/TiC)@C nanocomposites primarily arises from the natural resonance (at ~6.5 GHz) and exchange resonance (at ~12 GHz) of the Fe cores. The dielectric loss is primarily attributed to dipole, interfacial, and space charge polarization from TiC and the carbon shell, as well as multiple scattering effects between nanoparticles. Furthermore, far-field radar cross-section simulations substantiate that the Fe/TiC@C nanocomposite demonstrates excellent radar wave attenuation capability. Further, first principles simulations reveal that introducing Fe at the C/TiC interface induces strong charge redistribution and orbital hybridization, transforming a localized dielectric interface into a highly conductive and electronically coupled C/Fe/TiC system. This interfacial modulation enhances both dielectric loss (via charge transport and polarization) and magnetic loss (via Fe-induced magnetic interactions), thereby enabling optimized dielectric-magnetic synergy for broadband microwave absorption in (Fe/TiC)@C nanocomposites. Full article
(This article belongs to the Section Nanocomposite Materials)
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23 pages, 11791 KB  
Article
Data-Fitted Approximate Analytical Torque Model for Electromagnetic De-Tumbling of a Nutating Conducting Spherical Shell Under Bounded Positional Offsets
by Tianquan Han, Guocai Yang, Shicai Shi, Shaowei Fan, Minghe Jin and Hong Liu
Aerospace 2026, 13(5), 462; https://doi.org/10.3390/aerospace13050462 - 13 May 2026
Viewed by 415
Abstract
Electromagnetic de-tumbling has emerged as a promising non-contact approach for mitigating the rotational motion of space debris and defunct satellites because of its inherent safety and controllability. In practical missions, however, the target often undergoes nutational motion and bounded positional offsets relative to [...] Read more.
Electromagnetic de-tumbling has emerged as a promising non-contact approach for mitigating the rotational motion of space debris and defunct satellites because of its inherent safety and controllability. In practical missions, however, the target often undergoes nutational motion and bounded positional offsets relative to the service spacecraft, which makes rapid and accurate prediction of electromagnetic torque more difficult. This paper presents a corrected approximate analytical model for calculating the electromagnetic torque acting on a nutating conducting spherical shell in a magnetic dipole field within a bounded offset domain. A mathematical model describing the relative position and electromagnetic interaction between the spherical shell and the magnetic dipole is first established. Finite-element simulations are then conducted to obtain the spatial distributions of the three torque components and to provide numerical benchmarks. Based on these results, approximate analytical expressions and polynomial correction terms are derived for torque prediction. The corrected analytical solutions show high accuracy and good consistency with the numerical results, providing an effective theoretical basis for subsequent dynamic analysis, real-time control, and rapid torque prediction. Full article
(This article belongs to the Section Astronautics & Space Science)
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28 pages, 1120 KB  
Article
Domain Walls in a Dipole-Coupled Transverse Magnetic Island Chain
by Gary M. Wysin
Magnetism 2026, 6(2), 18; https://doi.org/10.3390/magnetism6020018 - 12 May 2026
Viewed by 438
Abstract
I analyze the nonlinear Hamiltonian equations of motion for a one-dimensional chain of transverse magnetic nano-islands, seeking solutions for different types of static domain walls (DWs) connecting uniform static states. The system of elongated magnetic islands oriented transverse (y-direction) to the [...] Read more.
I analyze the nonlinear Hamiltonian equations of motion for a one-dimensional chain of transverse magnetic nano-islands, seeking solutions for different types of static domain walls (DWs) connecting uniform static states. The system of elongated magnetic islands oriented transverse (y-direction) to the chain direction (x-direction) experiences an applied magnetic field transverse to the chain. The macro-spin model includes dipole interactions between islands, their uniaxial and easy-plane anisotropies, and Oersted energy of the applied field. DWs can form most easily between pairs of degenerate uniform states, described by their local magnetizations as oblique, y-parallel, and y-alternating. The DWs between oblique states are well described with scalar φ4 theory. General DW structures are found via a numerical energy relaxation scheme. At some anisotropy and field parameters, nearest-neighbor dipole interactions drive antiferromagnetic order inside the DW itself. Full article
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10 pages, 933 KB  
Article
Visible Light-Range Quasi-Bound States in the Continuum in Symmetric Gold Nanohole Arrays for High-FOM Refractive-Index Sensing
by Peiyi Lu, Weiwei Liu and Silin Yang
Photonics 2026, 13(4), 398; https://doi.org/10.3390/photonics13040398 - 21 Apr 2026
Viewed by 818
Abstract
Realizing high-quality-factor (high-Q) plasmonic resonances in the visible regime is critical for enhancing light-matter interactions and advancing biochemical sensing. However, traditional localized surface plasmon resonances (LSPRs) typically suffer from broad spectral linewidths due to severe radiative damping. In this work, we propose a [...] Read more.
Realizing high-quality-factor (high-Q) plasmonic resonances in the visible regime is critical for enhancing light-matter interactions and advancing biochemical sensing. However, traditional localized surface plasmon resonances (LSPRs) typically suffer from broad spectral linewidths due to severe radiative damping. In this work, we propose a simple two-dimensional symmetric gold nanohole-array metasurface that supports a symmetry-protected bound state in the continuum (SP-BIC) at normal incidence. By introducing extrinsic symmetry breaking via oblique incidence, this non-radiative dark state is successfully transformed into an observable high-Q quasi-BIC Fano resonance. Cartesian multipole decomposition reveals that this sharp mode (λ688 nm) is predominantly driven by a tightly confined Magnetic Dipole (MD) excitation, which drastically suppresses radiative leakage compared to the highly damped Electric Dipole (ED)-dominated LSPR. Consequently, the quasi-BIC mode exhibits an ultra-narrow spectral linewidth (FWHM17.4 nm). While its bulk sensitivity (236.9 nm/RIU) is slightly lower than that of the LSPR mode, the exceptionally sharp resonance yields a remarkably low Limit of Detection (LOD) of 7.35×103 RIU, achieving a nearly five-fold improvement over the traditional LSPR. Furthermore, the quasi-BIC mode maintains an outstanding Figure of Merit (FOM up to ∼19.7 RIU1) across the entire sensing range. By eliminating the need for complex asymmetric nanofabrication, this robust angle-tuned design strategy provides a highly promising platform for the development of high-resolution, low-cost optical biosensors. Full article
(This article belongs to the Special Issue Emerging Trends in Diffractive Optics and Metasurfaces)
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14 pages, 4807 KB  
Article
Insights into Growing Silica Around Monocrystalline Magnetite Nanorods Leading to Colloids with Improved Magnetic Properties—Obstacles and Solutions
by Nele Johanna Künnecke, Irene Morales, Madeleine Alexandra Schaefer and Sebastian Polarz
Nanomaterials 2026, 16(3), 219; https://doi.org/10.3390/nano16030219 - 6 Feb 2026
Viewed by 995
Abstract
Nanoparticles of ferrimagnetic magnetite (Fe3O4) are cornerstones of modern nanoscience and technology, primarily due to their superparamagnetic behavior. Beyond traditional applications in magnetorheology and magnetic hyperthermia, these materials are increasingly vital in fields like active matter, where precise surface [...] Read more.
Nanoparticles of ferrimagnetic magnetite (Fe3O4) are cornerstones of modern nanoscience and technology, primarily due to their superparamagnetic behavior. Beyond traditional applications in magnetorheology and magnetic hyperthermia, these materials are increasingly vital in fields like active matter, where precise surface fine-tuning is crucial. While coating isotropic, quasi-spherical magnetite nanoparticles with silica is a well-established and versatile route towards functionalization, transferring this achievement to nanorod systems remains a significant challenge. Successful coating of these high-aspect-ratio geometries would allow to exploit the direction-dependent properties and increased magnetic anisotropies. However, current literature largely focuses on polycrystalline rods composed of small, clustered subunits, which limits their magnetic potential. This work describes a breakthrough in the homogeneous silica coating and stabilization of monocrystalline magnetite nanorods. We demonstrate that the superior magnetic properties of these “naked” monocrystalline rods induce strong dipole-dipole interactions, which trigger aggregation and typically prevent the isolation of individual and homogeneously coated core-shell nanoparticles. By investigating the specific mechanisms of this aggregation, we established a robust coating procedure that yields the desired isolated particles. Critically, we show that the magnetite nanorods retain their monocrystalline integrity within the silica shell, thereby preserving the enhanced magnetic properties of the original nanocrystals. Full article
(This article belongs to the Special Issue Progress in Magnetic Nanoparticles: From Synthesis to Applications)
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7 pages, 249 KB  
Article
Calculation of Hyperfine Structure in Tm ii
by Andrey I. Bondarev
Atoms 2026, 14(1), 7; https://doi.org/10.3390/atoms14010007 - 21 Jan 2026
Viewed by 983
Abstract
The first measurements of the magnetic dipole hyperfine structure constants A in singly ionized thulium revealed substantial discrepancies with the corresponding theoretical calculations. Subsequent measurements expanded the very limited available dataset and demonstrated that two of the previously reported experimental A values were [...] Read more.
The first measurements of the magnetic dipole hyperfine structure constants A in singly ionized thulium revealed substantial discrepancies with the corresponding theoretical calculations. Subsequent measurements expanded the very limited available dataset and demonstrated that two of the previously reported experimental A values were incorrect, thereby motivating new theoretical calculations. In this work, we employ the configuration interaction method to calculate the A constants for several low-lying levels in Tm ii, with the random-phase-approximation corrections also taken into account. Our results show good agreement with the new experimental data and provide reliable predictions for additional states where measurements are not yet available. Full article
(This article belongs to the Section Atomic, Molecular and Nuclear Spectroscopy and Collisions)
11 pages, 1977 KB  
Article
Structural, Up-Conversion Luminescence, and Electron Paramagnetic Resonance Investigations of Yb3+/Er3+-Doped LiGdF4 Nanocrystals Dispersed in Silica Glassy Matrix
by Corina Secu, Cristian Radu, Arpad Rostas and Mihail Secu
Inorganics 2025, 13(11), 378; https://doi.org/10.3390/inorganics13110378 - 19 Nov 2025
Viewed by 1026
Abstract
We have investigated the structural, morphological, magnetic, and up-conversion luminescence properties of the Yb3+/Er3+-doped LiGdF4 nanocrystals precipitated in the silica glassy matrix. Morphological analysis showed uniform distribution of LiGdF4 nanocrystals (tens of nm in size), embedded in [...] Read more.
We have investigated the structural, morphological, magnetic, and up-conversion luminescence properties of the Yb3+/Er3+-doped LiGdF4 nanocrystals precipitated in the silica glassy matrix. Morphological analysis showed uniform distribution of LiGdF4 nanocrystals (tens of nm in size), embedded in silica glass matrix. FTIR spectroscopy analysis showed trifluoracetates thermolysis with silica lattice formation and structural analysis by XRD is consistent with the LiGdF4 crystallization process, most likely through an autocatalytic reaction. The stress and crystalline lattice distortion are assigned to the doping and glass matrix environment where the growth process occurs. The EPR spectra associated with the Gd3+ ions have shown a well-defined spectrum in the xerogel, associated with the trifluoroacetate ligand environment. In the LiGdF4 nanocrystals, the broad and unresolved spectrum is due to an envelope of unresolved anisotropic fine structure and a high dipole–dipole interaction between the Gd3+/Yb3+/Er3+ paramagnetic ions. Under 980 nm laser light pumping, we observed the characteristic “blue”, “green” and “red” up-conversion luminescences of the Er3+ ions through Yb → Er energy transfer process, that imply three and two-photon process; near UV up-conversion luminescence of Gd3+ is observed at about 280–300 nm where Yb → Er and Er → Gd energy transfer is involved. The UC luminescence properties can be improved up to two times by additional Yttrium co-doping due to the induced crystal field distortion. Full article
(This article belongs to the Special Issue Feature Papers in Inorganic Solid-State Chemistry 2025)
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15 pages, 6068 KB  
Article
Role of Interfacial Dzyaloshinskii–Moriya Interactions on Dipole-Exchange Spin Waves in Finite-Width Ferromagnetic Nanostripes
by Syed Hussain, Bushra Hussain and Michael Cottam
AppliedPhys 2025, 1(2), 6; https://doi.org/10.3390/appliedphys1020006 - 29 Oct 2025
Viewed by 1200
Abstract
In this paper, we explore the magnetization dynamics in a long ferromagnetic nanostripe with finite width in the presence of antisymmetric Dzyaloshinskii–Moriya exchange interactions (DMIs). It is known that DMIs, which are currently of great interest because they give rise to chiral and [...] Read more.
In this paper, we explore the magnetization dynamics in a long ferromagnetic nanostripe with finite width in the presence of antisymmetric Dzyaloshinskii–Moriya exchange interactions (DMIs). It is known that DMIs, which are currently of great interest because they give rise to chiral and nonreciprocal properties and influence surface topologies, can be enhanced by interfacing the nanostripe with a heavy metal. Our theoretical approach employs a microscopic (or Hamiltonian-based) analysis that includes symmetric bilinear exchange, antisymmetric DMI, long-range dipole–dipole interactions, and Zeeman energy due to an external magnetic field applied out of the plane of the nanostripe. In this geometry, we calculate the frequencies and amplitudes of the discrete spin-wave modes that have a standing-wave character across the finite width of the stripe and a propagating character (with wavenumber k) along the stripe length. The individual spin-wave modes display nonreciprocal propagation in their dispersion relations due to DMI. We also find that there may be localized edge spin waves with amplitudes that undergo spatial decay near the stripe edges. Full article
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14 pages, 1991 KB  
Article
Chemical Manipulation of the Collective Superspin Dynamics in Heat-Generating Superparamagnetic Fluids: An AC-Susceptibility Study
by Cristian E. Botez and Alex D. Price
Crystals 2025, 15(7), 631; https://doi.org/10.3390/cryst15070631 - 9 Jul 2025
Cited by 1 | Viewed by 842
Abstract
We use Co doping to alter the magnetic relaxation dynamics in superparamagnetic nanofluids made of 18 nm average diameter Fe3O4 nanoparticles immersed in Isopar M. Ac-susceptibility data recorded at different frequencies and temperatures, χ″vs. T|f, reveals a major [...] Read more.
We use Co doping to alter the magnetic relaxation dynamics in superparamagnetic nanofluids made of 18 nm average diameter Fe3O4 nanoparticles immersed in Isopar M. Ac-susceptibility data recorded at different frequencies and temperatures, χ″vs. T|f, reveals a major (~100 K) increase in the superspin blocking temperature of the Co0.2Fe2.8O4-based fluid (CFO) compared to its Fe3O4 counterpart (FO). We ascribe this behavior to the strengthening of the interparticle magnetic dipole interactions upon Co doping, as demonstrated by the relative χ″-peak temperature variation per frequency decade Φ=TT·log(f), which decreases from Φ~0.15 in FO to Φ~0.025 in CFO. In addition, χ″vs. T|f datasets from the CFO fluid reveal two magnetic events at temperatures Tp1 = 240 K and Tp2 = 275 K, both above the fluid’s freezing point (TF = 197 K). We demonstrate that the physical rotation of the nanoparticles within the fluid, the Brown mechanism, is entirely responsible for the collective superspin relaxation observed at Tp1, whereas the Néel mechanism, the superspin flip across an energy barrier within the particle, is dominant at Tp2. We confirm this finding through fits of models that describe the temperature dependence of the relaxation time via the two mechanisms: τB(T)=3η0VHkBTexpEkBTT0 and τNT=τ0expEBkBTT0. The best fits yield γ0=3η0VHkB = 1.5 × 10−8 s·K, E′/kB = 7 03 K, and T0′ = 201 K for the Brown relaxation, and EB/kB = 2818 K and T0 = 143 K for the Néel relaxation. Full article
(This article belongs to the Special Issue Innovations in Magnetic Composites: Synthesis to Application)
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20 pages, 351 KB  
Article
Vacuum Self-Dressing of an Atom and Its Physical Effects
by Roberto Passante and Lucia Rizzuto
Physics 2025, 7(2), 20; https://doi.org/10.3390/physics7020020 - 6 Jun 2025
Cited by 2 | Viewed by 2686
Abstract
We consider a multilevel atom, such as a hydrogen atom, interacting with the quantum electromagnetic field in the dressed ground state of the interacting system. Using perturbation theory within the dipole approximation, we evaluate the dressed ground state and investigate the effect of [...] Read more.
We consider a multilevel atom, such as a hydrogen atom, interacting with the quantum electromagnetic field in the dressed ground state of the interacting system. Using perturbation theory within the dipole approximation, we evaluate the dressed ground state and investigate the effect of atomic self-dressing on several field and atomic observables. Specifically, we obtain general expressions of the renormalized electric and magnetic field fluctuations and energy densities around the atom, and analyze their scaling with the distance from the atom, obtaining approximated expressions in the so-called near and far zones. We also investigate nonlocal spatial field correlations around the atom. We stress how the quantities we evaluate can be probed through two- and three-body nonadditive Casimir–Polder dispersion interactions. We also investigate the effect of self-dressing—namely, the virtual transitions occurring in the dressed ground state—on atomic observables, such as the average potential energy of the electron in the nuclear field. This also allows us to obtain a more fundamental quantum basis for the Welton interpretation of the Lamb shift of a ground-state hydrogen atom, in terms of the atomic self-dressing processes. Full article
12 pages, 2765 KB  
Article
Dynamic Coupling Model of the Magnetic Separation Process Based on FEM, CFD, and DEM
by Xiaoming Wang, Zhengchang Shen, Yonghui Hu and Guodong Liang
Processes 2025, 13(5), 1303; https://doi.org/10.3390/pr13051303 - 24 Apr 2025
Cited by 2 | Viewed by 1819
Abstract
Magnetic separation is an important method in the processing process, and its essence is the targeted dispersion of the mineral processing slurry pulp in the magnetic field space. The slurry is a complex multiphase fluid system with continuous phase carrying a large number [...] Read more.
Magnetic separation is an important method in the processing process, and its essence is the targeted dispersion of the mineral processing slurry pulp in the magnetic field space. The slurry is a complex multiphase fluid system with continuous phase carrying a large number of discrete phase particles, in which the magnetic particles agglomerate, migrate, and disperse under the dominance of magnetic force. In this process, there is nonlinear and unstable dynamic coupling between the continuous phase (liquid) and the discrete phase (solid particles) and between the discrete phases. In this paper, a dynamic cyclic multi-dipole magnetic moment algorithm with a higher calculation accuracy is innovatively proposed to calculate the magnetic interaction force between particles. Moreover, the P-E magnetization model suitable for a two-dimensional uniform magnetic field is further improved and optimized to make it applicable to a three-dimensional gradient magnetic field. Finally, based on the coupling of the Finite Element Method (FEM), Computational Fluid Dynamics (CFD), and Discrete Element Method (DEM), a dynamic coupling model capable of accurately simulating the magnetic separation process is developed. This model can be used to study the separation behavior of particles under a multiphase flow and multi-force field and to explore the motion behavior of magnetic particles. Full article
(This article belongs to the Special Issue Mineral Processing Equipments and Cross-Disciplinary Approaches)
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21 pages, 9241 KB  
Article
Theoretical/Experimental Study of the Heavy Metals in Poly(vinylalcohol)/Carboxymethyl Starch-g-Poly(vinyl imidazole)-Based Magnetic Hydrogel Microspheres
by Joaquín Alejandro Hernández Fernández, Jose Alfonso Prieto Palomo and Carlos A. T. Toloza
J. Compos. Sci. 2025, 9(4), 193; https://doi.org/10.3390/jcs9040193 - 18 Apr 2025
Cited by 7 | Viewed by 2063
Abstract
Heavy metal contamination of water is a critical environmental problem due to its toxicity and persistence in ecosystems. In this study, magnetic hydrogel spheres composed of carboxymethylated starch modified with poly(1-vinylimidazole) (CMS-g-PVI) and polyvinyl alcohol (PVA), combined with Fe3O4 nanoparticles, [...] Read more.
Heavy metal contamination of water is a critical environmental problem due to its toxicity and persistence in ecosystems. In this study, magnetic hydrogel spheres composed of carboxymethylated starch modified with poly(1-vinylimidazole) (CMS-g-PVI) and polyvinyl alcohol (PVA), combined with Fe3O4 nanoparticles, were synthesized and characterized to evaluate their efficiency in adsorbing metal ions such as Cu2+, Pb2+, and Cd2+. Structural characterization by FT-IR spectroscopy confirmed the successful integration of all functional components into the hydrogel matrix. Additionally, scanning electron microscopy (SEM) revealed a rough and porous surface morphology favorable for adsorption and an average bead diameter of 3.2 mm, influenced by the stirring rate during synthesis. Adsorption studies demonstrated maximum capacities of 82.4 mg·g−1 for Cu2+, 66.5 mg·g−1 for Pb2+, and 51.8 mg·g−1 for Cd2+, with optimal removal efficiencies at pH 6.2 and 5.7. From a theoretical perspective, density functional theory (DFT) calculations using the B3LYP/6-311+G(d,p) method allowed the optimization of molecular structures and analysis of electronic properties. The total dipole moment (TDM) of the CMS-g-PVI/PVA system reached 20.81 Debye. A significant reduction in the HOMO-LUMO energy gap was observed upon metal adsorption, with values of 0.0308 eV for Cu2+, 0.0175 eV for Pb2+, and 0.0235 eV for Cd2+, confirming strong interactions between the hydrogel matrix and the metal ions. The combined experimental and computational approach provides a comprehensive understanding of the adsorption mechanisms and supports the development of efficient materials for water decontamination. Full article
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