Article
Physics, Multidisciplinary
Marco Coco, Giovanni Mascali, Vittorio Romano
Summary: The definition of temperature in non-equilibrium situations is controversial, and this paper explores two different definitions of local lattice temperature in graphene simulations. The results suggest one definition measures how quickly the system approaches local equilibrium, while the other defines the equilibrium lattice temperature. Additionally, the paper provides a theoretical explanation of the system's approach towards equilibrium and characterizes the nature of equilibria in spatially homogeneous cases through the macroscopic entropy density expression for phonons.
Article
Physics, Fluids & Plasmas
Jonathan Asher Pachter, Ken A. Dill
Summary: Important models in nonequilibrium statistical physics often make use of a commonly used, but frequently overlooked, near-equilibrium approximation. However, this approximation fails to hold in far-from-equilibrium systems. A more principled approach would involve deriving corrections for rate fluctuations from an underlying dynamical model, rather than assuming a particular form. Applying maximum caliber as the underlying principle, we derive such corrections for non-equilibrium processes, particularly important for heavily driven systems.
Article
Multidisciplinary Sciences
Jiawei Zhang, Nikolaj Roth, Kasper Tolborg, Seiya Takahashi, Lirong Song, Martin Bondesgaard, Eiji Nishibori, Bo B. Iversen
Summary: Disordered, diffusive atoms are rarely found in simple crystalline solids. Here, the authors observe a one-dimensional disordered diffusion channel in a simple chain-like thermoelectric InTe with ultralow thermal conductivity, which undergoes a static-dynamic transition with increasing temperature. This phenomenon provides insight into the mechanism behind ultra-low thermal conductivity in chain-like materials.
NATURE COMMUNICATIONS
(2021)
Article
Physics, Applied
Juliana M. da Silva, Fernando A. F. Santana, Jorge G. G. S. Ramos, Anderson L. R. Barbosa
Summary: In this study, we investigate the behavior of the spin Hall effect in a system with disorder and interface-induced spin-orbit coupling by experimental and numerical simulations of single-layer graphene devices. The results show that the spin Hall angle of graphene devices exhibits mesoscopic fluctuations and follows a universal relationship with the dimensionless longitudinal conductivity.
JOURNAL OF APPLIED PHYSICS
(2022)
Review
Energy & Fuels
Giovanni Mascali
Summary: This paper reviews the application of a new formula to calculate lattice thermal conductivity in silicon, germanium, and graphene. The formula is able to accurately reproduce the thermal conductivity of these materials, with phonon scattering mechanisms playing a significant role in determining their thermal transport properties.
Article
Mathematics, Applied
S. Davis, C. Loyola, J. Peralta
Summary: Quantitatively assessing the level of confidence in test scores can be challenging when multiple criteria are involved. This study presents a statistical approach based on Bayesian inference and maximum entropy principle to estimate the most probable and expected scores using credible interval information. The findings have implications for understanding and analyzing uncertain evaluation of learning performance beyond the case study of recommendation letters.
Article
Mathematics, Applied
Benjamin Anwasia, Srboljub Simic
Summary: In this study, the maximum entropy principle is applied to derive the properly scaled velocity distribution function of Boltzmann equations for mixtures, leading to a non-isothermal Maxwell-Stefan diffusion model. The entropy balance law is also analyzed, and the kinetic entropy production is derived from the scaled distribution function.
APPLIED MATHEMATICS LETTERS
(2022)
Article
Physics, Mathematical
Vito Dario Camiola, Giovanni Nastasi
Summary: The study introduces a hydrodynamical model for graphene nanoribbons, considering electron collisions with the lattice and ribbon edges, as well as the bandgap resulting from the low dimension of the ribbon. The simulation results qualitatively describe the macroscopic behavior of charges and show comparable results to those obtained by numerically solving the Boltzmann equation, with a significant reduction in computational time.
JOURNAL OF STATISTICAL PHYSICS
(2021)
Article
Multidisciplinary Sciences
Emanuele Crosato, Mikhail Prokopenko, Michael S. Harre
Summary: Urban dynamics in large metropolitan areas are influenced by complex interactions among social, economic, and political factors, including population distribution, wealth flow, and infrastructure needs. Research in Greater Sydney and Melbourne in Australia shows a tendency for homophily between renters and mortgage holders, leading to a polycentric configuration in the long run.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Article
Computer Science, Artificial Intelligence
Guanzhong Ma
Summary: This paper introduces uncertainty theory, a branch of axiomatic mathematics concerned with human beliefs, and discusses the maximum entropy principle and unimodal entropy, proposing the Boundary Decay Condition and establishing the maximum entropy principle of unimodal entropy based on it.
Article
Environmental Studies
Xingxing Wang, Huajiao Li, Depeng Zhu, Weiqiong Zhong, Wanli Xing, Anjian Wang
Summary: This paper proposes a graphite trade redistribution model based on the construction of a global graphite trade network and the principle of maximum entropy. By simulating resource redistribution among graphite-trading countries under different supply risk scenarios, the changes in trade relations among countries are analyzed.
Article
Thermodynamics
Zeinab Zanjani, Isabel Soares, Pedro Macedo
Summary: The transportation sector in developing countries has a major impact on global warming due to its reliance on fossil energy resources. This study examines the role of air passengers and air freight in CO2 emissions from aviation in eight oil-producing countries in the Middle East from 2013 to 2019. The results show a positive impact of air passengers on CO2 emissions in all countries, while the connection between air freight and CO2 emissions is only confirmed for Iran and Qatar.
Article
Chemistry, Inorganic & Nuclear
Savas Kaya, P. K. Chattaraj, Goncagul Serdaroglu
Summary: Two empirical formulae are proposed to estimate the standard entropies of some inorganic ionic solids, suggesting linear relationships between the standard entropy and the cube root of the formula unit volume as well as the cube root of the diamagnetic susceptibility. This builds a bridge between conceptual density functional theory and solid state chemistry. It is noted that the stabilities of inorganic ionic crystals are closely related to their molar diamagnetic susceptibilities, providing a connection between the maximum entropy and minimum magnetizability principles.
Article
Computer Science, Software Engineering
Ting Li, Can Zhang
Summary: Database technology has rapidly developed in recent years, with data mining technology successfully applied in various industries. This paper presents a filtering method for high-quality customer system based on maximum entropy, comparing the filtering performance of different feature sets.
SCIENTIFIC PROGRAMMING
(2022)
Article
Multidisciplinary Sciences
Alexis Coissard, Adolfo G. Grushin, Cecile Repellin, Louis Veyrat, Kenji Watanabe, Takashi Taniguchi, Frederic Gay, Herve Courtois, Hermann Sellier, Benjamin Sacepe
Summary: By performing scanning tunneling spectroscopy on hexagonal boron nitride, this study shows that quantum Hall edge channels in graphene are confined to the crystal edges and do not undergo reconstruction with additional non-topological upstream modes. This has significant implications for electron and heat transport experiments in graphene-based systems and other 2D crystalline materials.
Article
Physics, Multidisciplinary
Liliana Luca, Vittorio Romano
Article
Physics, Multidisciplinary
Vito Dario Camiola, Liliana Luca, Vittorio Romano
Article
Mathematics, Applied
Liliana Luca, Giovanni Mascali, Giovanni Nastasi, Vittorio Romano
JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT
(2020)
Correction
Physics, Multidisciplinary
Vito Dario Camiola, Liliana Luca, Vittorio Romano
Article
Mathematics, Interdisciplinary Applications
Fabio Arena, Mario Collotta, Liliana Luca, Marianna Ruggieri, Francesco Gaetano Termine
Summary: This paper presents a systematic literature review on statistical inference approaches, stochastic methods, and AI techniques for predictive maintenance in the automotive sector. It provides a summary of these approaches, their main results, challenges, and opportunities, and supports new research works for vehicle predictive maintenance.
MATHEMATICAL AND COMPUTATIONAL APPLICATIONS
(2022)
Article
Multidisciplinary Sciences
Liliana Luca, Vittorio Romano
ATTI ACCADEMIA PELORITANA DEI PERICOLANTI-CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI
(2018)
Article
Mechanics
E. Mubai, D. P. Mason
Summary: The two-dimensional turbulent thermal classical far wake is investigated in this study. The turbulence is described using the Boussinesq hypothesis for Reynolds stresses and Prandtl's mixing length model for eddy viscosity and eddy thermal conductivity. Two conservation laws are derived for the thermal boundary layer equations using the multiplier method, and two conserved quantities are obtained from the conserved vectors and boundary conditions. Lie point symmetry associated with the momentum and thermal conserved vectors is derived, showing that the momentum and thermal mixing lengths are proportional. An invariant solution is obtained numerically using a shooting method, and analytically when v = 0, kappa = 0.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Daniel J. Arrigo, Travis C. Chism
Summary: This paper investigates the governing equations for plane stress deformations of isotropic incompressible hyperelastic materials. The authors previously discovered a linearization method for the plane strain case of the Varga material, and in this paper, they further demonstrate that the governing equations for the plane stress case can also be linearized.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
A. P. Chugainova, R. R. Polekhina
Summary: This article numerically investigates the conditions for the decay of a nonlinear wave into a system of waves traveling at different velocities in a viscoelastic weakly anisotropic medium. Solutions of a hyperbolic system of equations are studied in the region of nonuniqueness of parameters, where a solution to the Riemann problem can be constructed with both a single wave and a system of waves corresponding to the same initial data.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Yu. N. Grigoriev, E. I. Kaptsov, S. V. Meleshko
Summary: This paper studies the mathematical properties of gasdynamics equations with thermochemical nonequilibrium and provides solutions for two different models. The results show that the solutions to the modified system of equations are physically consistent and can describe the effects of thermochemical nonequilibrium.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Y. Hao, X. Y. Guo, Y. B. Fu
Summary: This paper investigates the nonlinear stochastic dynamic response of a three-degree-of-freedom(3-DOF) airfoil with high substructural nonlinearity under vertical turbulent disturbances. The effects of parameters such as the incoming velocity, turbulence scale and intensity on the stochastic dynamics behavior of the system are clarified.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
T. Flament, J. -F. Deu, A. Placzek, M. Balmaseda, D. -M. Tran
Summary: This paper focuses on the numerical computation of vibrations in geometrically nonlinear structures induced by aeroelastic coupling with fluid flow using reduced order models (ROM). The proposed ROM formulation utilizes projection on a basis of reduced dimension enhanced with dual modes, allowing for the accurate capture of dynamic characteristics and adaptation to unsteady aerodynamic loads. The limitations of the classical Implicit Condensation method are highlighted, while the ROM proposed overcomes these limitations and accurately captures the dynamics.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Sidhartha Sankar Roy, Kishore Chandra Biswal
Summary: This study investigates the non-linear slosh dynamics of a sloped wall tank with a bottom-mounted object under seismic excitation. The potential flow theory is used to model the liquid domain using a mixed Eulerian-Lagrangian method. The study successfully quantifies the non-linear seismic response of the tank and the influence of the internal object on the hydrodynamic behavior. A parametric investigation is conducted by altering the object's height. Comparison with linear analysis justifies the necessity of non-linear analysis. The developed non-linear finite element model is found to be more effective and can be used in designing structure-coupled sloped wall TLDs.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Kapil Dev, Om P. Suthar
Summary: This study presents stability analyses of thermosolutal convection in a Newtonian fluid-saturated Darcy porous layer under non-uniform inclined heating, considering the presence of the Soret effect. The results reveal the destabilizing effect of the solutal Darcy-Rayleigh number and Lewis number on the system's stability, while the Soret parameter has a non-monotonic effect depending on the horizontal Rayleigh number.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Sandhya Maurya, Dia Zeidan, Manoj Pandey
Summary: This paper investigates a two-phase mass flow model governed by gravity, which involves solid particles and a viscous fluid. By utilizing the Lie symmetries admitted by the system, similarity solutions for the (2+1)-dimensional two-phase mass flow model are obtained. Through analytical solutions and numerical analysis, the physical behaviors of the resulting systems are successfully analyzed.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Longfei Tan, Wei Zhang, Zixun Wang, Bowen Hou, Wei Sun
Summary: This study investigates the factors influencing the stiffness variation characteristics of a bolted joint during service, including macro deviation, micro-topography, and hysteresis characteristics. Through experiments and finite element modeling analysis, it is found that macro deviations and micro-topography on the bearing surface can cause irregular dynamic changes in the stiffness of the bolted joint, significantly affecting the dynamic/static response of the entire structure.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
Article
Mechanics
Yu Xiao, Ze-Qi Lu, Nan Wu
Summary: This study investigates the characteristics of a magnet-engaged nonlinear piezoelectric energy generator stimulated by friction-induced vibration (FIV) in two distinct design configurations (in parallel and in-series). The results indicate that factors such as decay factor, dynamic friction coefficient, static friction coefficient, and normal force have an effect on the stability of the system and the generation of FIV. The in-parallel systems exhibit a higher charging power within the same operating range, while the in-series systems are more likely to excite FIV with a wider operating range.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2024)
