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Latest Trends in Physics and Engineering Mathematics: Theory and Application
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Latest Trends in Physics and Engineering Mathematics: Theory and Application

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Applied Physics General".

Deadline for manuscript submissions: closed (20 November 2022) | Viewed by 14720

Special Issue Editors

Prof. Dr. Ephraim Suhir

E-Mail Website
Guest Editor
1. Bell Laboratories, Physical Sciences and Engineering Research Division, Murray Hill, NJ, USA
2. Depts. of Mech. and Mat., and Elect. and Comp. Engineering, Portland State University, Portland, OR, USA
Interests: applied mathematics and mechanics, applied and mathematical physics; materials science and engineering; aerospace electronics and photonics; Design for Reliability (DfR) of electronic, opto-electronic and photonic assemblies, packages and systems; applied probability and probabilistic DfR of electronic and photonic devices and systems; analytical (mathematical) modeling in applied science and engineering; photonics, fiber optics, mechanics of optical fibers; thin film mechanics and physics; shock and vibration analyses and testing; dynamic response of materials and structures to shocks and vibrations; thermal stress analysis, prediction and prevention of thermal stress failures in electronics and optics; solder materials and solder joint interconnections in electronic and optical engineering; polymeric materials in electronics and photonics; photovoltaic and thermo-electric modules: physical design for reliability; stretchable (large area) electronics and photonics: physical design for reliability; lattic
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Emin Bayraktar

E-Mail Website1 Website2
Guest Editor
School of Mechanical and Manufacturing Engineering, Supmeca-Paris, 3 rue Fernand Hainaut, 93400 Saint Ouen, France
Interests: advanced manufacturing processes (sinter forging, thixoforming); damage mechanisms of materials (metallic, intermetallic, rubber and epoxy-based composites); design of new composites and damage characterization; design and manufacturing of recycled constituent composites
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Roberto Zivieri

E-Mail Website1 Website2
Guest Editor
1. Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, 1, 98122 Messina, Italy
2. Istituto Nazionale di Alta Matematica (INdAM), 00185 Rome, Italy
Interests: solid state physics and lattice phonons dynamics; spin waves; ferromagnetic materials and nanostructures; low-dimensional magnetic systems; quantum magnetic models; magnonic crystals; magnetic metamaterials; magnetic signature of ships; quantum magnetic sensors; topological defects; magnetic vortices and antivortices; magnetic skyrmions; spin-transfer torque effect; spin-Hall effect; band structure and mobility calculation of topological semimetals and magnetoresistance; linear and nonlinear seismic metamaterials; statistical thermodynamics of biological systems; entropy of irreversible reactions in living systems; electrical power signals; distribution lines; smart grids
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Despite being considered a mature field, physics research continues to be a vibrant and active topic throughout the world, with the number of publications continually increasing over time. The continued interest in the application of physics and engineering mathematics demands new ways to share cutting-edge research in the field. Physics research is important not only from a fundamental point of view but for its engineering and industrial applications including machinery, electronics, material, and biological industries. The international competitiveness of those industries in a globalized economy is closely tied to their technologies and products.

The ICPEM2020 provides an opportunity to be part of scientific acceleration for world-class personalities, young scholars, scientific delegates, and young scientists to join in this conference to utilize the expertise and novelties that will lead to a new era for innovations in the field. It also provides a special channel to have open discussions, knowledge sharing, and interactive sessions with field experts.

This Special Issue will publish the latest physics and engineering mathematics research trends, including applications, advanced technologies, and processes. It covers several fields of physics and their technological applications, such as advanced theoretical physics, condensed matter physics, statistical physics, nonlinear mechanics, optics, atomic and molecular physics, quantum physics, biological modeling and information, chemical physics, materials physics, and other related topics. It also includes different fields of engineering mathematics, such as analytical models applied to electrical engineering smart grids and power distribution lines, mathematical models for engineering oceanography, mechanics and acoustics, and for different classes of metamaterials and sensors devices and other affine topics.

We personally invite you and your colleagues to submit a contribution in the form of original scientific reports, research articles, communications, and review articles for this Special Issue. We would like to thank the presenters and speakers in advance for your attendance at this conference and your submissions. We look forward to a stimulating exchange.

Should you have any questions, please do not hesitate to contact Dr. Josh Sheng, (email: icpem2020@163.com).

For any questions regarding the journal, you may also get assistance from the editorial office (Assistant to the Editor Ms. Marin Ma, email: marin.ma@mdpi.com)

Looking forward to hearing from you.

The 2020 International Conference on Physics and Engineering Mathematics (ICPEM2020) will take place during 19-20 September 2020, in Beijing, China.

Prof. Dr. Ephraim Suhir
Prof. Dr. Emin Bayraktar
Prof. Dr. Roberto Zivieri
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Quantum gravity and cosmology
  • string theory
  • condensed matter physics
  • statistical physics
  • nonlinear mechanics
  • atomic and molecular physics
  • optics
  • quantum physics
  • biological modeling and information
  • biophysics
  • chemical physics
  • materials physics
  • power distribution lines
  • engineering oceanography
  • engineering mechanics and acoustics
  • metamaterials
  • sensors devices

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  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (5 papers)

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Research

25 pages, 3262 KiB  
Article
A Prehistorical Approach to Optimal Fluctuations for General Langevin Dynamics with Weak Gaussian White Noises
by Feng Zhao, Yang Li and Xianbin Liu
Appl. Sci. 2022, 12(17), 8569; https://doi.org/10.3390/app12178569 - 26 Aug 2022
Viewed by 1617
Abstract
The dynamics of a stochastic system that exhibits large fluctuations to a given state are almost deterministic due to weak random perturbations. Such large fluctuations occur with overwhelming probability in the vicinity of the so-called optimal path, which is a vital concept in [...] Read more.
The dynamics of a stochastic system that exhibits large fluctuations to a given state are almost deterministic due to weak random perturbations. Such large fluctuations occur with overwhelming probability in the vicinity of the so-called optimal path, which is a vital concept in physics, chemistry, and biology, as it uncovers the way in which a physical process escapes from the attractive domain of a metastable state and transitions between different metastable states. In this paper, we examine the prehistorical description of the optimal fluctuation with the unifying framework of Langevin dynamics by means of a quantity called prehistory probability density. We show that the optimal fluctuation has a strong connection with the time reversal of the associated diffusion process. Specifically, in the stationary or quasi-stationary cases, it is found that the prehistory probability density actually acts as the transition probability density of the reversed process. As noise intensity approaches zero, it focuses on the average dynamics of the reversed process due to the law of large numbers, which is then shown to coincide with the time reversal of the optimal path. The local dispersion of the prehistory probability density can thus be reformulated as a Gaussian distribution corresponding to the linearized part of the reversed process. In addition, as an analogue of the original definition in the stationary states, it is proven that the concept of prehistory probability density can also be extended to nonstationary cases where similar properties are still valid. Based on these theoretical results, an algorithm is designed and then successfully applied to a one-dimensional example at the end, showing its accuracy for pinpointing the location of the optimal path and its efficacy in cases where multiple optimal paths coexist. Full article
(This article belongs to the Special Issue Latest Trends in Physics and Engineering Mathematics: Theory and Application)
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12 pages, 1920 KiB  
Article
A Comparison of Different Folding Models in Variations of the Map Folding Problem
by Yiyang Jia and Jun Mitani
Appl. Sci. 2021, 11(24), 11856; https://doi.org/10.3390/app112411856 - 13 Dec 2021
Cited by 1 | Viewed by 2470
Abstract
In this paper, we compare the performance of three different folding models when they are applied to three different map folding settings. Precisely, the three folding models include the simple folding model, the simple folding–unfolding model, and the general folding model. The different [...] Read more.
In this paper, we compare the performance of three different folding models when they are applied to three different map folding settings. Precisely, the three folding models include the simple folding model, the simple folding–unfolding model, and the general folding model. The different map folding settings are discussed by comparing different folded states, i.e., different overlapping orders on the set of the squares of 1 × n maps, the squares of m × n maps, and the squares lying on the boundary of m × n maps. These folding models are abstracts of manual works and robotics. We clarify the relationship between their reachable final folded states under different settings and give proof of all the inclusion relationships between every two of these sets. In addition, there are nine distinct problems with the three folding models applied to three folding settings. We give the optimal linear time solutions to all the unsolved ones: the valid total overlapping order problems of 1 × n maps, m × n maps, as well as the valid boundary overlapping order problems of m × n maps with the three different folding models. Our work gives the conclusion of the research field where the folding models and the overlapping orders of map folding are concerned. Full article
(This article belongs to the Special Issue Latest Trends in Physics and Engineering Mathematics: Theory and Application)
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12 pages, 702 KiB  
Article
A Large-Deformation Gradient Damage Model for Single Crystals Based on Microdamage Theory
by Ozgur Aslan and Emin Bayraktar
Appl. Sci. 2020, 10(24), 9142; https://doi.org/10.3390/app10249142 - 21 Dec 2020
Cited by 4 | Viewed by 2459
Abstract
This work aims at the unification of the thermodynamically consistent representation of the micromorphic theory and the microdamage approach for the purpose of modeling crack growth and damage regularization in crystalline solids. In contrast to the thermodynamical representation of the microdamage theory, micromorphic [...] Read more.
This work aims at the unification of the thermodynamically consistent representation of the micromorphic theory and the microdamage approach for the purpose of modeling crack growth and damage regularization in crystalline solids. In contrast to the thermodynamical representation of the microdamage theory, micromorphic contribution to flow resistance is defined in a dual fashion as energetic and dissipative in character, in order to bring certain clarity and consistency to the modeling aspects. The approach is further extended for large deformations and numerically implemented in a commercial finite element software. Specific numerical model problems are presented in order to demonstrate the ability of the approach to regularize anisotropic damage fields for large deformations and eliminate mesh dependency. Full article
(This article belongs to the Special Issue Latest Trends in Physics and Engineering Mathematics: Theory and Application)
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9 pages, 1485 KiB  
Article
Molecular Parameters of Tert-Butyl Chloride and Its Isotopologues Determined from High-Resolution Rotational Spectroscopy
by Chao Jiao, Sheng-wen Duan, Yi Wu, Ming Sun, Qian Chen, Pei-yu Fang and Da-peng Wang
Appl. Sci. 2020, 10(21), 7650; https://doi.org/10.3390/app10217650 - 30 Oct 2020
Cited by 1 | Viewed by 3348
Abstract
A broadband chirped-pulse Fourier transform microwave spectrometer was used to detect the rotational spectra of the products of a chemical reaction in the gas phase from 1-18 GHz under the supersonic expansion condition. In natural abundance, pure rotational energy level transitions of tert-butyl [...] Read more.
A broadband chirped-pulse Fourier transform microwave spectrometer was used to detect the rotational spectra of the products of a chemical reaction in the gas phase from 1-18 GHz under the supersonic expansion condition. In natural abundance, pure rotational energy level transitions of tert-butyl chloride and its isotopologues (13C, 37Cl) were observed and assigned. The rotational spectral parameters (rotational constant, quadrupole coupling constant and centrifugal distortion constant) of these isotopologues were determined. The experimental results are in great agreement with the calculated values of quantum chemistry and the spectral parameters in the literature. The accuracy and the capability for chemical detection of our homemade rotational spectrometer were verified by this experiment. Full article
(This article belongs to the Special Issue Latest Trends in Physics and Engineering Mathematics: Theory and Application)
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16 pages, 3922 KiB  
Article
Error Analysis and Calibration Improvement of the Imaging Section in a Mueller Matrix Microscope
by Jiewei Yu, Xuemin Cheng and Maolin Li
Appl. Sci. 2020, 10(13), 4422; https://doi.org/10.3390/app10134422 - 27 Jun 2020
Cited by 3 | Viewed by 2901
Abstract
Currently, there are various calibration methods available to reduce the errors caused by the polarizing section of a dual-rotating-retarder polarimeter. Although these methods have high measurement accuracy, their robustness must be improved and the influence of the imaging section needs be discussed when [...] Read more.
Currently, there are various calibration methods available to reduce the errors caused by the polarizing section of a dual-rotating-retarder polarimeter. Although these methods have high measurement accuracy, their robustness must be improved and the influence of the imaging section needs be discussed when they are applied in Mueller matrix microscopes. In this paper, a method of error source analysis and element calibration for the Mueller matrix microscope is proposed by using error transform coefficient matrices to account for the polarizing effect of the imaging section. Using Taylor expansion, an approximate linear relationship is established between the sources of errors and the Mueller matrix elements of the measured sample. From this relationship, error magnification coefficient matrices are calculated to determine the specific parameter errors in both the polarizing and imaging sections. Furthermore, elements in the fourth row or column of the error magnification coefficient matrix are especially important for the imaging section. The measurement and simulation results for an air sample and a quarter-wave plate sample as the standard samples, as well as a Daphnia organism sample with complex internal structure, are investigated and discussed. Furthermore, the comparison results reveal the effect of the imaging section on the birefringence characteristics of the Mueller matrix. With the proposed method, the maximum error can be reduced to be less than 0.01 for all the matrix elements and for the amplitude parameter of birefringence, even when the two system parameters a 2 and a 3 of the rotating mechanical part deviate from the default. Full article
(This article belongs to the Special Issue Latest Trends in Physics and Engineering Mathematics: Theory and Application)
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