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Consider the heat equation with a nonlinear boundary condition $$ \partial_t u=\Delta u,\quad x\in{\bf R}^N_+,\,\,\,t>0,\qquad \partial_\nu u=u^p, \quad x\in\partial{\bf R}^N_+,\,\,\,t>0,\qquad u(x,0)=\kappa\psi(x),\quad x\in…

偏微分方程分析 · 数学 2021-02-09 Kotaro Hisa

Transport phenomena are central to physics, and transport in the many-body and fully-quantum regime is attracting an increasing amount of attention. It has been recently revealed that some quantum spin chains support ballistic transport of…

统计力学 · 物理学 2019-10-25 Alberto Biella , Mario Collura , Davide Rossini , Andrea De Luca , Leonardo Mazza

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

Linear temperature dependence of transport coefficients in metals is often ascribed to non-Fermi-liquid physics. Here we demonstrate the $T$-linear behavior of nonlocal conductivity in a clean 2D electron fluid, where carrier collisions…

介观与纳米尺度物理 · 物理学 2025-02-11 Serhii Kryhin , Qiantan Hong , Leonid Levitov

We study nonequilibrium properties of a one-dimensional lattice Hamiltonian with quartic interactions in strong thermal gradients. Nonequilibrium temperature profiles, T(x), are found to develop significant curvature and boundary jumps.…

chao-dyn · 物理学 2009-10-31 Kenichiro Aoki , Dimitri Kusnezov

Considering a broad class of steady-state nonequilibrium systems for which some additive quantities are conserved by the dynamics, we introduce from a statistical approach intensive thermodynamic parameters (ITPs) conjugated to the…

统计力学 · 物理学 2007-05-23 Eric Bertin , Kirsten Martens , Olivier Dauchot , Michel Droz

We consider chains of rotors subjected to both thermal and mechanical forcings,in a nonequilibrium steady-state. Unusual nonlinear profiles of temperature and velocities are observed in the system. In particular, the temperature is maximal…

统计力学 · 物理学 2015-05-28 Alessandra Iacobucci , Frederic Legoll , Stefano Olla , Gabriel Stoltz

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…

统计力学 · 物理学 2010-04-07 Hayato Shiba , Nobuyasu Ito

We study in details the dynamics of the one dimensional symmetric trap model, via a real-space renormalization procedure which becomes exact in the limit of zero temperature. In this limit, the diffusion front in each sample consists in two…

凝聚态物理 · 物理学 2009-11-10 Cecile Monthus

We use the concept of typicality to study the real-time dynamics of spin and energy currents in spin-1/2 models in one dimension and at nonzero temperatures. These chains are the integrable XXZ chain and a nonintegrable modification due to…

强关联电子 · 物理学 2015-03-10 Robin Steinigeweg , Jochen Gemmer , Wolfram Brenig

Any interface boundary in an equilibrium system of Coulomb particles is accompanied by the existence of a finite difference in the average electrostatic potential through this boundary. The discussed interface potential drop is a…

等离子体物理 · 物理学 2009-01-19 Igor Iosilevskiy , Alexander Chigvintsev

Thermoelectric measurement of the dimensionless zT parameter requires multiple physical quantities to be measured, therefore there is great interest to find an experimental setup capable of measuring all these properties at once. Previous…

This paper investigates the (fractional) heat equation with a nonlocal nonlinearity involving a Riesz potential: \begin{equation*} u_{t}+(-\Delta)^{\frac{\beta}{2}} u= I_\alpha(|u|^{p}),\qquad x\in \mathbb{R}^n,\,\,\,t>0, \end{equation*}…

偏微分方程分析 · 数学 2026-03-05 Ahmad Z. Fino , Berikbol T. Torebek

We face the problem of detecting and featuring footprints of quantum criticality in the finite-temperature behavior of quantum many-body systems. Our strategy is that of comparing the phase diagram of a system displaying a T=0 quantum phase…

统计力学 · 物理学 2007-08-09 Alessandro Cuccoli , Alessio Taiti , Ruggero Vaia , Paola Verrucchi

We explore the stability of certain many-body quantum states which may exist at zero or finite temperatures, may lack long-range order and even topological order, and still are thermodynamically distinct from uncorrelated disordered phases.…

强关联电子 · 物理学 2024-09-26 Predrag Nikolić

In this paper we investigate the behaviour of the specific heat around the critical point of the Ising model in dimension 5 to 7. We find a specific heat discontinuity, like that for the mean field Ising model, and provide estimates for the…

统计力学 · 物理学 2015-06-24 P. H. Lundow , K. Markström

Quantifying irreversibility of a system using finite information constitutes a major challenge in stochastic thermodynamics. We introduce an observable that measures the time-reversal asymmetry between two states after a given time lag. Our…

统计力学 · 物理学 2023-12-18 Shiling Liang , Simone Pigolotti

We explore steady state and transient heat transfer from a narrow, rectangular stainless steel heater strip cooled from one side by an open bath of He~II. Setup validation is done by fitting the Kapitza heat transfer expression $Q =…

应用物理 · 物理学 2022-03-10 Jonas Blomberg Ghini , Bernhard Auchmann , Bertrand Baudouy

A flux line in a Type-II superconductor with a single nonuniform columnar defect is studied by a perturbative diagrammatic expansion around an annealed approximation. The system undergoes a finite temperature depinning transition for the…

超导电性 · 物理学 2009-10-31 Deniz Ertas

We study the scaling properties of critical particle systems confined by a potential. Using renormalization-group arguments, we show that their critical behavior can be cast in the form of a trap-size scaling, resembling finite-size scaling…

统计力学 · 物理学 2013-05-29 Massimo Campostrini , Ettore Vicari