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25 pages, 1608 KB  
Article
Landau–de Gennes Model for the Isotropic Phase of Nematogens: The Experimental Evidence Challenge
by Sylwester J. Rzoska, Aleksandra Drozd-Rzoska and Tushar Rajivanshi
Int. J. Mol. Sci. 2025, 26(20), 9849; https://doi.org/10.3390/ijms26209849 - 10 Oct 2025
Viewed by 364
Abstract
The Landau–de Gennes model is one of the most significant fundamental frameworks in The Physics of Liquid Crystals and Soft Matter Physics. It is validated by the universal parameterisation of the Cotton–Mouton effect, the Kerr effect, and light scattering in the isotropic phase [...] Read more.
The Landau–de Gennes model is one of the most significant fundamental frameworks in The Physics of Liquid Crystals and Soft Matter Physics. It is validated by the universal parameterisation of the Cotton–Mouton effect, the Kerr effect, and light scattering in the isotropic phase of nematogens. However, as early as 1974, de Gennes identified the first two puzzling problems of this model. Over the following decades, this list has expanded. This report presents the first comprehensive analysis of these issues, with the explicit experimental reference. It focuses on the hardly coherently discussed pretransitional changes in the dielectric constant and the extension in a strong electric field, specifically the nonlinear dielectric effect (NDE). Notably, there are uniquely different pretransitional forms of pretransitional effects, depending on molecular structural features such as permanent dipole moment loci or a steric hindrance. It is tested for 5CB, 5*CB, and MBBA: nematogenic liquid crystalline materials that differ in the above features. The obtained specific pretransitional effects and the evidence for the essential importance of the interplay between observation and pretransition fluctuations time scales led to a new coherent, model-based explanation of all the discussed problems, which cannot be explained within the canonical Landau–de Gennes model. Full article
(This article belongs to the Section Physical Chemistry and Chemical Physics)
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11 pages, 1090 KB  
Article
The Differential Expression of the JAK/STAT Pathway in Breast Cancer Cells Transfected with Human Papillomavirus Oncogenes
by Stephanie Loureiro Leão, Gabriel Rômulo Parente da Silva, Daffany Luana dos Santos, Bianca de França São Marcos, Pedro Henrique Bezerra Fontes, Beatriz Eda de Oliveira Isídio, Isabelle Silva Simões, Elisa Fotin Genn Barros, David Beltrán Lussón, Joelson Germano Crispim, Lígia Rosa Sales Leal, Anna Jéssica Duarte Silva, Vanessa Emanuelle Pereira Santos and Antonio Carlos de Freitas
Viruses 2025, 17(7), 880; https://doi.org/10.3390/v17070880 - 23 Jun 2025
Viewed by 940
Abstract
Breast cancer is among the most prevalent and deadly types of cancer worldwide. Viral infections have been investigated as contributing factors in breast carcinogenesis, including infections by high-risk genotypes of human papillomavirus (HPV). Although viral DNA has been detected in breast tumors, the [...] Read more.
Breast cancer is among the most prevalent and deadly types of cancer worldwide. Viral infections have been investigated as contributing factors in breast carcinogenesis, including infections by high-risk genotypes of human papillomavirus (HPV). Although viral DNA has been detected in breast tumors, the role of HPV activity in this type of cancer remains poorly understood. HPV oncogenes interact with various host genes, including those involved in the JAK/STAT signaling pathway. This pathway is associated with the regulation of gene expression related to the tumor microenvironment, and understanding how HPV oncogenes interact with JAK/STAT components may provide insights into the relationship between the virus and breast cancer development. In this study, we assessed the differential expression of the JAK/STAT pathway in MDA-MB-231 cells individually transfected with the E5, E6, and E7 oncogenes of HPV16. The results revealed downregulation of STAT4 in the presence of the E5, E6, and E7 oncogenes. Notably, cells transfected with E5 alone exhibited upregulation of JAK2, STAT3, and STAT6, whereas transfection with E6 and E7 resulted in their downregulation. These findings highlight the underexplored role of the E5 oncogene in contrast to the more extensively studied E6 and E7. Our results support the hypothesis that HPV oncogenes actively modulate the expression of genes involved in the tumor microenvironment in breast cancer. Full article
(This article belongs to the Special Issue Viral Oncogenes)
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12 pages, 714 KB  
Article
Effect of Confinement on the Structural, Dielectric, and Dynamic Properties of Liquid Crystals in Anopores
by Pavel V. Maslennikov and Alex V. Zakharov
Liquids 2025, 5(1), 7; https://doi.org/10.3390/liquids5010007 - 11 Mar 2025
Viewed by 1342
Abstract
Based on data from broadband dielectric spectroscopy (BDS) and a molecular model based on the Landau–de Gennes concept, the effect of confinement on the structural, dielectric, and dynamic properties of 4-n-pentyl-4′-cyanobiphenyl (5CB) in the nematic phase is studied. The dielectric permittivity and relaxation [...] Read more.
Based on data from broadband dielectric spectroscopy (BDS) and a molecular model based on the Landau–de Gennes concept, the effect of confinement on the structural, dielectric, and dynamic properties of 4-n-pentyl-4′-cyanobiphenyl (5CB) in the nematic phase is studied. The dielectric permittivity and relaxation times were previously obtained by the BDS technique in a wide frequency range (1MHzf1GHz) in the nematic phase composed of 5CB molecules confined to Anopore membranes with pore sizes of 0.2 μm. The distance-dependent values of the order parameter P2(r), the relaxation time τ(r)τ001(r), the rotational diffusion coefficient D(r), and both rotational viscosity coefficients γi(r) (i=1,2) as functions of the distance r away from the bounding surface are calculated by a combination of existing statistical-mechanical approaches and data obtained by the BDS technique. Reasonable agreement between the calculated and experimental values of γi(i=1,2) for bulk 5CB is obtained. Full article
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18 pages, 688 KB  
Review
Moving Mesh Partial Differential Equation Modelling of a 5CB Nematic Liquid Crystal Confined in Symmetric and Asymmetric Pi-Cells: A Review
by Antonino Amoddeo
Symmetry 2025, 17(1), 30; https://doi.org/10.3390/sym17010030 - 27 Dec 2024
Viewed by 1022
Abstract
The switching properties of nematic liquid crystals under electrical and mechanical stresses play a fundamental role in the design and fabrication of electro-optical devices. Depending on the stress applied to a nematic texture confined in a pi-cell, different nematic configurations are allowed inside [...] Read more.
The switching properties of nematic liquid crystals under electrical and mechanical stresses play a fundamental role in the design and fabrication of electro-optical devices. Depending on the stress applied to a nematic texture confined in a pi-cell, different nematic configurations are allowed inside the cell, while the induced distortion is relaxed by means of growing biaxial domains which can end with the order reconstruction phenomenon, a transition connecting two topologically different nematic textures which can occur in different regions of the pi-cell. Due to the different space and time scales involved, modelling in the frame of the Landau–de Gennes order tensor theory is mandatory to correctly describe the fast-switching mechanisms involved, while from a computational point of view, sophisticated numerical techniques are required to grasp tiny and fast features which can be predicted by the mathematical modelling. In this paper, we review the results obtained from the mathematical and numerical modelling of a 5CB liquid crystal confined in a pi-cell performed by using a numerical technique based on the equidistribution principle, tailored for the description of a complex physical system in which fast switching phenomena are coupled with strong distortions. After a recap on the underneath theory and on the numerical method, we focus on the switching properties of the nematic material when subjected to variable mechanical and electrical stresses in both symmetric and asymmetric conditions. Full article
(This article belongs to the Section Mathematics)
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11 pages, 1761 KB  
Article
Effect of Bio-Electro-Magnetic-Energy-Regulation (BEMER) Horse Therapy on Cardiopulmonary Function and Recovery Quality After Isoflurane Anesthesia in 100 Horses Subjected to Pars-Plana Vitrectomy: An Investigator-Blinded Clinical Study
by Olivier Brandenberger, Andrey Kalinovskiy, Jens Körner, Hermann Genn, Ralph Burger and Stephan Leser
Animals 2024, 14(24), 3654; https://doi.org/10.3390/ani14243654 - 18 Dec 2024
Viewed by 4063
Abstract
The use of Bio-Electro-Magnetic-Energy-Regulation (BEMER) therapy during general anesthesia has not previously been reported in horses. This randomized, investigator-blinded, placebo-controlled trial evaluates equine cardiopulmonary function and recovery quality after BEMER therapy application for 15 min in 100 horses during general anesthesia using isoflurane [...] Read more.
The use of Bio-Electro-Magnetic-Energy-Regulation (BEMER) therapy during general anesthesia has not previously been reported in horses. This randomized, investigator-blinded, placebo-controlled trial evaluates equine cardiopulmonary function and recovery quality after BEMER therapy application for 15 min in 100 horses during general anesthesia using isoflurane for pars-plana vitrectomy surgery as treatment for recurrent uveitis. Visually identical blankets were used in the two groups (1:1 ratio), one with a functional BEMER module and the other with a placebo module. Arterial blood pressure, blood gas, lactate, and creatine kinase (CK) values were measured at different timepoints, and each timepoint was compared between the groups using paired t-tests. The quality of recovery from anesthesia was assessed by one blinded veterinary surgeon using a 10-category scoring system with scores ranging from 10 (best) to 72 (worst) and compared by an ordinary least squares regression analysis. The placebo group had a significantly better recovery (mean 16.1, standard deviation 7.15) than the BEMER-therapy group (mean 22.4, SD 13.0). Arterial blood pressure and blood lactate were lower in the BEMER-therapy group without reaching statistical significance, while CK and blood gas values were comparable. BEMER-horse therapy showed an effect on the recovery quality of horses undergoing general anesthesia. Full article
(This article belongs to the Section Veterinary Clinical Studies)
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10 pages, 546 KB  
Review
Josephson Critical Currents and Related Effects in Ultracold Atomic Superfluid Sytems
by Verdiana Piselli, Leonardo Pisani and Giancarlo Calvanese Strinati
Condens. Matter 2024, 9(4), 41; https://doi.org/10.3390/condmat9040041 - 30 Oct 2024
Viewed by 1580
Abstract
The Josephson and Proximity effects play a pivotal role in the design of superconducting devices for the implementation of quantum technology, ranging from the standard Al based to the more exotic twisted high-Tc junctions. Josephson critical currents have been recently [...] Read more.
The Josephson and Proximity effects play a pivotal role in the design of superconducting devices for the implementation of quantum technology, ranging from the standard Al based to the more exotic twisted high-Tc junctions. Josephson critical currents have been recently investigated also in ultracold atomic systems where a potential barrier acts as a weak link. The unifying feature of the above systems, apart from being superconducting/superfluid, is the presence of spatial inhomogeneity, a feature that has to be properly taken into account in any theoretical approach employed to investigate them. In this work, we review the novel (dubbed LPDA for Local Phase Density Approximation) approach based on a coarse graining of the Bogoliubov–de Gennes (BdG) equations. Non-local and local forms of this coarse graining were utilized when investigating Proximity and Josephson effects. Moreover, the LPDA approach was further developed to include pairing fluctuations at the level of the non-self-consistent t-matrix approximation. The resulting approach, dubbed mLPDA (modified LPDA), can be used whenever inhomegeneity and fluctuations effects simultaneously play an important role. Full article
(This article belongs to the Special Issue Superstripes Physics, 3rd Edition)
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9 pages, 5882 KB  
Article
Topological Defect Evolutions Guided by Varying the Initial Azimuthal Orientation
by Yanchun Shen, Jinbing Wu, Jingge Wang, Saibo Wu and Wei Hu
Appl. Sci. 2024, 14(21), 9869; https://doi.org/10.3390/app14219869 - 29 Oct 2024
Viewed by 1403
Abstract
Topological defects are a key concern in numerous branches of physics. It is meaningful to exploit the topological defect evolutions during the phase transitions of condensed matter. Here, via varying the initial azimuthal orientation of the square alignment lattice in a hybrid cell, [...] Read more.
Topological defects are a key concern in numerous branches of physics. It is meaningful to exploit the topological defect evolutions during the phase transitions of condensed matter. Here, via varying the initial azimuthal orientation of the square alignment lattice in a hybrid cell, the topological defect evolution of liquid crystal during the nematic (N)–smectic A (SmA) phase transition is investigated. The director fields surrounding ±1 point defects are manipulated by predesigning the initial azimuthal orientation. When further cooled to the SmA phase, spiral toric focal conic domain (TFCD) arrays are formed as a result of twisted deformation suppression and unique symmetry breaking after the phase transition. The variation in the azimuthal orientation causes the TFCDs to degenerate from infinite rotational symmetry to quadruple rotational symmetry, thus releasing new textures for the SmA phase. Landau–de Gennes numerical modeling is adopted to reproduce the director distributions in the N phase and reveal the evolution of the topological defects. This work enriches the knowledge on the self-organization of soft matter, enhances the capability for the manipulations of topological defects, and may inspire new intriguing applications. Full article
(This article belongs to the Section Applied Physics General)
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18 pages, 3857 KB  
Article
The Synergistic Effect of Lemongrass Essential Oil and Flometoquin, Flonicamid, and Sulfoxaflor on Bemisia tabaci (Genn.) (Hemiptera: Aleyrodidae): Insights into Toxicity, Biochemical Impact, and Molecular Docking
by Moataz A. M. Moustafa, Fatma S. Ahmed, Nawal Abdulaziz Alfuhaid, Nourhan A. El-Said, El-Desoky S. Ibrahim and Mona Awad
Insects 2024, 15(5), 302; https://doi.org/10.3390/insects15050302 - 24 Apr 2024
Cited by 10 | Viewed by 4133
Abstract
The whitefly, Bemisia tabaci (Genn.), is one of the most dangerous polyphagous pests in the world. Eco-friendly compounds and new chemical insecticides have gained recognition for whitefly control. In this study, the toxicity and biochemical impact of flometoquin, flonicamid, and sulfoxaflor, alone or [...] Read more.
The whitefly, Bemisia tabaci (Genn.), is one of the most dangerous polyphagous pests in the world. Eco-friendly compounds and new chemical insecticides have gained recognition for whitefly control. In this study, the toxicity and biochemical impact of flometoquin, flonicamid, and sulfoxaflor, alone or combined with lemongrass essential oil (EO), against B. tabaci was studied. In addition, a molecular docking study was conducted to assess the binding affinity of the tested compounds to AchE. Based on the LC values, the descending order of the toxicity of the tested compounds to B. tabaci adults was as follows: sulfoxaflor > flonicamid > flometoquin > lemongrass EO. The binary mixtures of each of the tested compounds with lemongrass EO exhibited synergism in all combinations, with observed mortalities ranging from 15.09 to 22.94% higher than expected for an additive effect. Sulfoxaflor and flonicamid, alone or in combination with lemongrass EO, significantly inhibited AchE activity while only flonicamid demonstrated a significant impact on α-esterase, and none of the tested compounds affected cytochrome P450 or GST. However, the specific activity of P450 was significantly inhibited by the lemongrass/sulfoxaflor mixture while α-esterase activity was significantly inhibited by the lemongrass/flometoquin mixture. Moreover, the lemongrass EO and all the tested insecticides exhibited significant binding affinity to AchE with energy scores ranging from −4.69 to −7.06 kcal/mol. The current findings provide a foundation for utilizing combinations of essential oils and insecticides in the integrated pest management (IPM) of B. tabaci. Full article
(This article belongs to the Special Issue Chemical Toxicology and Insecticide Resistance on Insect Pests)
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12 pages, 2200 KB  
Article
Superconductivity in Nb: Impact of Temperature, Dimensionality and Cooper-Pairing
by Uriel Allan Aceves Rodriguez, Filipe Souza Mendes Guimarães and Samir Lounis
Nanomaterials 2024, 14(3), 254; https://doi.org/10.3390/nano14030254 - 24 Jan 2024
Cited by 2 | Viewed by 2385
Abstract
The ability to realistically simulate the electronic structure of superconducting materials is important to understand and predict various properties emerging in both the superconducting topological and spintronics realms. We introduce a tight-binding implementation of the Bogoliubov–de Gennes method, parameterized from density functional theory, [...] Read more.
The ability to realistically simulate the electronic structure of superconducting materials is important to understand and predict various properties emerging in both the superconducting topological and spintronics realms. We introduce a tight-binding implementation of the Bogoliubov–de Gennes method, parameterized from density functional theory, which we utilize to explore the bulk and thin films of Nb, known to host a significant superconducting gap. The latter is useful for various applications such as the exploration of trivial and topological in-gap states. Here, we focus on the simulation’s aspects of superconductivity and study the impact of temperature, Cooper-pair coupling and dimensionality on the value of the superconducting pairing interactions and gaps. Full article
(This article belongs to the Section Theory and Simulation of Nanostructures)
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14 pages, 4694 KB  
Article
Biaxial Structures of Localized Deformations and Line-like Distortions in Effectively 2D Nematic Films
by Luka Mesarec, Samo Kralj and Aleš Iglič
Nanomaterials 2024, 14(3), 246; https://doi.org/10.3390/nano14030246 - 23 Jan 2024
Cited by 1 | Viewed by 1706
Abstract
We numerically studied localized elastic distortions in curved, effectively two-dimensional nematic shells. We used a mesoscopic Landau-de Gennes-type approach, in which the orientational order is theoretically considered by introducing the appropriate tensor nematic order parameter, while the three-dimensional shell shape is described by [...] Read more.
We numerically studied localized elastic distortions in curved, effectively two-dimensional nematic shells. We used a mesoscopic Landau-de Gennes-type approach, in which the orientational order is theoretically considered by introducing the appropriate tensor nematic order parameter, while the three-dimensional shell shape is described by the curvature tensor. We limited our theoretical consideration to axially symmetric shapes of nematic shells. It was shown that in the surface regions of stomatocyte-class nematic shell shapes with large enough magnitudes of extrinsic (deviatoric) curvature, the direction of the in-plane orientational ordering can be mutually perpendicular above and below the narrow neck region. We demonstrate that such line-like nematic distortion configurations may run along the parallels (i.e., along the circular lines of constant latitude) located in the narrow neck regions of stomatocyte-like nematic shells. It was shown that nematic distortions are enabled by the order reconstruction mechanism. We propose that the regions of nematic shells that are strongly elastically deformed, i.e., topological defects and line-like distortions, may attract appropriately surface-decorated nanoparticles (NPs), which could potentially be useful for the controlled assembly of NPs. Full article
(This article belongs to the Special Issue The Impact of Nanoparticles on Phase Transitions in Liquid Crystals)
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11 pages, 2347 KB  
Article
Fully Microscopic Treatment of Magnetic Field Using Bogoliubov–De Gennes Approach
by Vyacheslav D. Neverov, Alexander Kalashnikov, Alexander E. Lukyanov, Andrey V. Krasavin, Mihail D. Croitoru and Alexei Vagov
Condens. Matter 2024, 9(1), 8; https://doi.org/10.3390/condmat9010008 - 15 Jan 2024
Cited by 1 | Viewed by 3529
Abstract
This work introduces an algorithm designed to solve the Bogoliubov–de Gennes equations of superconductivity theory. What sets this algorithm apart is its remarkable ability to precisely and consistently consider the impact of an external magnetic field, all within the microscopic approach. The computation [...] Read more.
This work introduces an algorithm designed to solve the Bogoliubov–de Gennes equations of superconductivity theory. What sets this algorithm apart is its remarkable ability to precisely and consistently consider the impact of an external magnetic field, all within the microscopic approach. The computation scheme’s convergence is guaranteed by addressing the Biot–Savart equation for the field where the vector potential appears on both of its sides. To showcase the capabilities of this approach, we provide several key examples: the Abrikosov lattice, vortex core states, and the vortex structure in the intermediate mixed state of a superconductor. This method promises to offer valuable insights into the microscopic physics of intertype superconductivity. Full article
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15 pages, 2833 KB  
Review
Polyelectrolytes: From Seminal Works to the Influence of the Charge Sequence
by Nam-Kyung Lee, Min-Kyung Chae, Youngkyun Jung, Albert Johner and Jean-Francois Joanny
Polymers 2023, 15(23), 4593; https://doi.org/10.3390/polym15234593 - 30 Nov 2023
Cited by 3 | Viewed by 2255
Abstract
We propose a selected tour of the physics of polyelectrolytes (PE) following the line initiated by de Gennes and coworkers in their seminal 1976 paper. The early works which used uniform charge distributions along the PE backbone achieved tremendous progress and set most [...] Read more.
We propose a selected tour of the physics of polyelectrolytes (PE) following the line initiated by de Gennes and coworkers in their seminal 1976 paper. The early works which used uniform charge distributions along the PE backbone achieved tremendous progress and set most milestones in the field. Recently, the focus has shifted to the role of the charge sequence. Revisited topics include PE complexation and polyampholytes (PA). We develop the example of a random PE in poor solvent forming pearl-necklace structures. It is shown that the pearls typically adopt very asymmetric mass and charge distributions. Individual sequences do not necessarily reflect the ensemble statistics and a rich variety of behaviors emerges (specially for PA). Pearl necklaces are dynamic structures and switch between various types of pearl-necklace structures, as described for both PE and PA. Full article
(This article belongs to the Special Issue Advances in Polyelectrolytes and Polyelectrolyte Complexes)
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47 pages, 6529 KB  
Review
The Challenges Facing the Current Paradigm Describing Viscoelastic Interactions in Polymer Melts
by Jean Pierre Ibar
Polymers 2023, 15(21), 4309; https://doi.org/10.3390/polym15214309 - 2 Nov 2023
Cited by 4 | Viewed by 2372
Abstract
Staudinger taught us that macromolecules were made up of covalently bonded monomer repeat units chaining up as polymer chains. This paradigm is not challenged in this paper. The main question raised in polymer physics remains: how do these long chains interact and move [...] Read more.
Staudinger taught us that macromolecules were made up of covalently bonded monomer repeat units chaining up as polymer chains. This paradigm is not challenged in this paper. The main question raised in polymer physics remains: how do these long chains interact and move as a group when submitted to shear deformation at high temperature when they are viscous liquids? The current consensus is that we need to distinguish two cases: the deformation of “un-entangled chains” for macromolecules with molecular weight, M, smaller than Me, “the entanglement molecular weight”, and the deformation of “entangled” chains for M > Me. The current paradigm stipulates that the properties of polymers derive from the statistical characteristics of the macromolecule itself, the designated statistical system that defines the thermodynamic state of the polymer. The current paradigm claims that the viscoelasticity of un-entangled melts is well described by the Rouse model and that the entanglement issues raised when M > Me, are well understood by the reptation model introduced by de Gennes and colleagues. Both models can be classified in the category of “chain dynamics statistics”. In this paper, we examine in detail the failures and the current challenges facing the current paradigm of polymer rheology: the Rouse model for un-entangled melts, the reptation model for entangled melts, the time–temperature superposition principle, the strain-induced time dependence of viscosity, shear-refinement and sustained-orientation. The basic failure of the current paradigm and its inherent inability to fully describe the experimental reality is documented in this paper. In the discussion and conclusion sections of the paper, we suggest that a different solution to explain the viscoelasticity of polymer chains and of their “entanglement” is needed. This requires a change in paradigm to describe the dynamics of the interactions within the chains and across the chains. A brief description of our currently proposed open dissipative statistical approach, “the Grain-Field Statistics”, is presented. Full article
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11 pages, 7321 KB  
Article
Reconfiguration of Nematic Disclinations in Plane-Parallel Confinements
by Saša Harkai, Charles Rosenblatt and Samo Kralj
Crystals 2023, 13(6), 904; https://doi.org/10.3390/cryst13060904 - 1 Jun 2023
Cited by 1 | Viewed by 1881
Abstract
We study numerically the reconfiguration process of colliding m=1/2 strength disclinations in an achiral nematic liquid crystal (NLC). A Landau–de Gennes approach in terms of tensor nematic-order parameters is used. Initially, different pairs m1,m2 of [...] Read more.
We study numerically the reconfiguration process of colliding m=1/2 strength disclinations in an achiral nematic liquid crystal (NLC). A Landau–de Gennes approach in terms of tensor nematic-order parameters is used. Initially, different pairs m1,m2 of parallel wedge disclination lines connecting opposite substrates confining the NLC in a plane-parallel cell of a thickness h are imposed: {1/2,1/2}, {−1/2,−1/2} and {−1/2,1/2}. The collisions are imposed by the relative rotation of the azimuthal angle θ of the substrates that strongly pin the defect end points. Pairs {1/2,1/2} and {−1/2,−1/2} “rewire” at the critical angle θc1=3π4 in all cases studied. On the other hand, two qualitatively different scenarios are observed for {−1/2,1/2}. In the thinner film regime h<hc, the disclinations rewire at θc2=5π4. The rewiring process is mediated by an additional chargeless loop nucleated in the middle of the cell. In the regime h>hc, the colliding disclinations at θc2 reconfigure into boojum-like twist disclinations. Full article
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18 pages, 2719 KB  
Article
Destructive Interference of the Superconducting Subband Condensates in the Quasi-1D Multigap Material Nanostructures
by Wojciech Julian Pasek, Marcos Henrique Degani and Marcelo Zoéga Maialle
Condens. Matter 2023, 8(1), 4; https://doi.org/10.3390/condmat8010004 - 28 Dec 2022
Viewed by 2430
Abstract
This modelling work concerns the effects of the interference between two partial subband condensates in a quasi-one-dimensional superconducting superlattice. The iterative under-relaxation with phase control method is used to solve Bogoliubov–de Gennes equations in the envelope ansatz. This method—easily generalisable to a wide [...] Read more.
This modelling work concerns the effects of the interference between two partial subband condensates in a quasi-one-dimensional superconducting superlattice. The iterative under-relaxation with phase control method is used to solve Bogoliubov–de Gennes equations in the envelope ansatz. This method—easily generalisable to a wide class of multiband superconducting systems—allows us to obtain both the constructive and the destructive interference solution. The discussion is centred on the latter case, with one of the condensates collapsing with increased inter-subband coupling strength, due to the other—the dominating one—imposing its symmetry on the overall order parameter. The in-depth qualitative analysis is made of underlying intra-subband and inter-subband dynamics, such as the possible factors determining the dominant subband condensate or the ones determining the region where the destructive solution coexists with the constructive one. A comprehensive discussion with the recent works concerning inter-band coupling effects follows, pointing that the destructive solution is nearly universally omitted. Full article
(This article belongs to the Special Issue Superstripes Physics)
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