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The maximum entropy principle determines the values of thermodynamic variables in thermally isolated equilibrium systems. This paper extends the principle to a variational principle that applies to liquid-gas coexistence in heat conduction.…

Statistical Mechanics · Physics 2024-12-30 Naoko Nakagawa , Shin-ichi Sasa

In Supplemental Information (SI) to the article [A. M. Fleshman, G. E. Forsythe, M. Petrowsky, R. Frech, J. Phys. Chem. B 2016, 120, 37, 9959-68] the temperature dependences (TDs) of the dielectric and dynamic properties of polyhydric…

Fluid Dynamics · Physics 2020-07-31 Alexander Kholmanskiy

Nonconvex and structured optimization problems arise in many engineering applications that demand scalable and distributed solution methods. The study of the convergence properties of these methods is in general difficult due to the…

Optimization and Control · Mathematics 2015-05-04 Sindri Magnússon , Pradeep Chathuranga Weeraddana , Michael G. Rabbat , Carlo Fischione

To assess the durability of structures, heat and moisture transport need to be analyzed. To provide a reliable estimation of heat and moisture distribution in a certain structure, one needs to include all available information about the…

Numerical Analysis · Computer Science 2013-03-19 Anna Kucerova , Jan Sykora

We present a generalization of AEMD approach, routinely applied to estimate thermal conductivity, to the more general case in which Soret and Dufour effects determine a coupled heat-mass transfer. We show that, by starting from…

Materials Science · Physics 2023-08-31 Antonio Cappai , Luciano Colombo , Claudio Melis

In this paper, we develop a variational foundation for stochastic thermodynamics of finite-dimensional, continuous-time systems. Requiring the second law (non-negative average total entropy production) systematically yields a consistent…

Statistical Mechanics · Physics 2026-05-07 Héctor Vaquero del Pino , François Gay-Balmaz , Hiroaki Yoshimura , Lock Yue Chew

Momentum-conserving one-dimensional models are known to exhibit anomalous Fourier's law, with a thermal conductivity varying as a power law of the system size. Here we measure, by numerical simulations, several cumulants of the heat flux of…

Statistical Mechanics · Physics 2015-05-18 E. Brunet , B. Derrida , A. Gerschenfeld

Conserved lattice gas (CLG) models in one dimension exhibit absorbing state phase transition (APT) with simple integer exponents $\beta=1=\nu=\eta$ whereas the same on a ladder belong to directed percolation (DP)universality. We conjecture…

Statistical Mechanics · Physics 2017-10-18 Arijit Chatterjee , P. K. Mohanty

The correspondence principle is investigated in the framework of deterministic predictions for individual systems. Exact analytical results are obtained for the quantum and the Liouvillian dynamics of a nonlinear oscillator coupled to a…

Quantum Physics · Physics 2007-11-26 Renato M. Angelo

The conductivity of a finite temperature 1+1 dimensional fermion gas described by the massive Thirring model is shown to be related to the retarded propagator of the dual boson sine-Gordon model. Duality provides a natural resummation which…

High Energy Physics - Theory · Physics 2009-11-07 T. S. Evans , A. Gomez Nicola , R. J. Rivers , D. A. Steer

We show how temperature-induced disorder can be combined in a direct way with first-principles scattering theory to study diffusive transport in real materials. Excellent (good) agreement with experiment is found for the resistivity of Cu,…

Materials Science · Physics 2015-06-22 Yi Liu , Zhe Yuan , R. J. H. Wesselink , Anton A. Starikov , Mark van Schilfgaarde , Paul J. Kelly

We present a comprehensive study of the thermodynamic properties of the three-dimensional fermionic Hubbard model, with application to cold fermionic atoms subject to an optical lattice and a trapping potential. Our study is focused on the…

Transport and diffusion of heat in one dimensional (1D) nonlinear systems which {\it conserve momentum} is typically thought to proceed anomalously. Notable exceptions, however, exist of which the rotator model is a prominent case.…

Statistical Mechanics · Physics 2015-05-05 Yunyun Li , Sha Liu , Nianbei Li , Peter Hanggi , Baowen Li

The essence of the second law of classical thermodynamics is the `entropy principle' which asserts the existence of an additive and extensive entropy function, S, that is defined for all equilibrium states of thermodynamic systems and whose…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Jakob Yngvason

Motivated by the consistency of a global anomaly with the second law of thermodynamics, we propose a form for the anomaly induced charge/energy transport in arbitrary even dimensions. In a given dimension, this form exhausts all second law…

High Energy Physics - Theory · Physics 2011-11-04 R. Loganayagam

The temperature dependence of the diffusion coefficient of particles is studied on lattices with disorder. A model is investigated with both trap and barrier disorder that was introduced before by Limoge and Bocquet (1990 Phys. Rev. Lett.…

Statistical Mechanics · Physics 2009-10-28 K. Mussawisade , T. Wichmann , K. W. Kehr

The heat conduction behavior of one dimensional momentum conserving lattice systems with asymmetric interparticle interactions is numerically investigated. It is found that with certain degree of interaction asymmetry, the heat conductivity…

Statistical Mechanics · Physics 2015-05-28 Yi Zhong , Yong Zhang , Jiao Wang , Hong Zhao

A hyperbolic system approach is proposed for robust computation of anisotropic diffusion equations that appear in quasineutral plasmas. Though the approach exhibits merits of high extensibility and accurate flux computation, the…

Numerical Analysis · Mathematics 2025-09-12 Tokuhiro Eto , Rei Kawashima

Experiments often show that the photoconductance $\sigma$ of a semiconductor system and the light intensity $I$ are related by $\sigma\sim I^\gamma$. Conventional theories give a satisfactory explanation for $\gamma=1$ or $\gamma=1/2$, but…

Other Condensed Matter · Physics 2010-06-15 Michael Wilkinson

Improved mean-field technics are a central theme of statistical physics methods applied to inference and learning. We revisit here some of these methods using high-temperature expansions for disordered systems initiated by Plefka, Georges…

Disordered Systems and Neural Networks · Physics 2020-06-11 Antoine Maillard , Laura Foini , Alejandro Lage Castellanos , Florent Krzakala , Marc Mézard , Lenka Zdeborová