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A non-Fourier thermal transport regime characterizes the heat conduction in solids with internal structure. Several thermodynamic theories attempt to explain the separation from the Fourier regime in such kind of systems. Here we develop a…

Classical Physics · Physics 2021-06-03 R. E. Gonzalez-Narvaez , M. López de Haro , F. Vázquez

The Aubry unpinned--pinned transition in the sliding of two incommensurate lattices occurs for increasing mutual interaction strength in one dimension ($1D$) and is of second order at $T=0$, turning into a crossover at nonzero temperatures.…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 Davide Mandelli , Andrea Vanossi , Nicola Manini , Erio Tosatti

This work relaxes the assumption of point particles prevalent in the study of thermal transport characteristics in $\Phi^4$ chains. The particles of the modified chain, henceforth termed as the $\Phi^{4C}$ chain, can collide with each…

Statistical Mechanics · Physics 2020-06-24 Sankhadeep Bhattacharyya , Puneet Kumar Patra

We consider the Curie-Weiss model at a given initial temperature in vanishing external field evolving under a Glauber spin-flip dynamics corresponding to a possibly different temperature. We study the limiting conditional probabilities and…

Mathematical Physics · Physics 2015-05-18 Victor Ermolaev , Christof Kuelske

Non-equilibrium time evolution in isolated many-body quantum systems generally results in thermalization. However, the relaxation process can be very slow, and quasi-stationary non-thermal plateaux are often observed at intermediate times.…

Statistical Mechanics · Physics 2017-07-06 Vincenzo Alba , Maurizio Fagotti

I consider branches of Replica-Symmetry-Breaking (RSB) solutions in Glassy systems that display a dynamical transition at a temperature $T_d$ characterized by a Mode-Coupling-Theory dynamical behavior. Below $T_d$ these branches of…

Disordered Systems and Neural Networks · Physics 2013-09-26 Tommaso Rizzo

We investigate some thermodynamic and magnetic properties of the Hubbard model on two three-dimensional extensions of the Lieb lattice: the perovskite Lieb lattice (PLL) and the layered Lieb lattice (LLL). Using determinant quantum Monte…

Strongly Correlated Electrons · Physics 2025-10-30 Lucas O. Lima , Julián Faúndez , Natanael C. Costa , Raimundo R. dos Santos

Thermal boundary conductance (TBC) is critical in many thermal and energy applications. A decades-old puzzle has been that many of the measured TBCs, such as those well characterized across Al/Si and ZnO/GaN interfaces, significantly exceed…

Mesoscale and Nanoscale Physics · Physics 2019-04-16 Jingjing Shi , Xiaolong Yang , Timothy S. Fisher , Xiulin Ruan

A model of low-temperature polar liquids is constructed that accounts for configurational heat capacity, entropy, and the effect of a strong electric field on the glass transition. The model is based on Pad{\'e}-truncated perturbation…

Soft Condensed Matter · Physics 2016-08-03 D. V. Matyushov

This paper proposes a new methodological framework within which the heat conductance in 1D lattices can be studied. The total process of heat conductance is separated into two parts where the first one is the equilibrium process at equal…

Chaotic Dynamics · Physics 2010-06-10 T. Yu. Astakhova , V. N. Likhachev , G. A. Vinogradov

Using the framework of nonlinear fluctuating hydrodynamics (NFH), we examine equilibrium spatio-temporal correlations in classical ferromagnetic spin chains with nearest neighbor interactions. In particular, we consider the classical…

Statistical Mechanics · Physics 2020-06-30 Avijit Das , Kedar Damle , Abhishek Dhar , David A. Huse , Manas Kulkarni , Christian B. Mendl , Herbert Spohn

We study heat conduction in a harmonic crystal whose bulk dynamics is supplemented by random reversals (flips) of the velocity of each particle at a rate $\lambda$. The system is maintained in a nonequilibrium stationary state(NESS) by…

Statistical Mechanics · Physics 2011-02-17 Abhishek Dhar , Joel Lebowitz , Venkateshan Kannan

To examine the thermodynamic properties of Pr$_{2}$Ba$_{4}$Cu$_{7}$O$_{15-\delta }$ compounds with metallic CuO double chains, we measured the specific heats of superconducting and non-superconducting polycrystalline samples at low…

Superconductivity · Physics 2016-03-23 Takahisa Konno , Michiaki Matsukawa , Keisuke Sugawara , Haruka Taniguchi

The concept of temperature in nonequilibrium thermodynamics is an outstanding theoretical issue. We propose an energy repartition principle that leads to a spectral (mode-dependent) temperature in steady-state nonequilibrium systems. The…

Mesoscale and Nanoscale Physics · Physics 2017-01-19 Peng Yan , Gerrit E. W. Bauer , Huaiwu Zhang

The famous Two-Temperature Model (TTM) used extensively in the investigations of energy relaxation in photo-excited systems originated in the seminal work of M. I. Kaganov, I. M. Lifshitz, and L. V. Tanatarov (KLT) in 1957. The idea that…

Strongly Correlated Electrons · Physics 2024-10-28 Navinder Singh

From the onset of the subject, granular media have been defying the toolkit of statistical mechanics thus preventing from understanding their thermodynamical and rheological properties and making them one of the key remaining mysteries in…

Soft Condensed Matter · Physics 2025-05-27 R. Krechetnikov , A. Zelnikov

Heat conduction in three-dimenisional nonlinear lattice models is studied using nonequilibrium molecular dynamics simulations. We employ the FPU model, in which there exists a nonlinearity in the interaction of biquadratic form. It is…

Statistical Mechanics · Physics 2010-04-07 Hayato Shiba , Nobuyasu Ito

We consider a stochastic process of heat conduction where energy is redistributed along a chain between nearest neighbor sites via an improper beta distribution. Similar to the well-known Kipnis-Marchioro-Presutti (KMP) model, the finite…

Statistical Mechanics · Physics 2023-05-03 Chiara Franceschini , Rouven Frassek , Cristian Giardinà

The lack of signed random networks in standard balance studies has prompted us to extend the Hamiltonian of the standard balance model. Random networks with tunable parameters are suitable for better understanding the behavior of standard…

Physics and Society · Physics 2022-09-21 R. Masoumi , F. Oloomi , S. Sajjadi , A. H. Shirazi , G. R. Jafari

Although there is no complete theory of high temperature superconductivity, the importance of CuO$_2$ planes in cuprate superconductors is confirmed from both theory and experiments. Strong Coulomb repulsion between electrons on the CuO$_2$…