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In the present communication we consider the one-dimensional (1D) isotopically disordered lattice with the harmonic potential. Our analytical method is adequate for any 1D lattice where potential energy can be presented as the quadratic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Vladimir N. Likhachev , Juraj Szavits-Nossan , George A. Vinogradov

Thermal transport at short length and time scales inherently constitutes a nonlocal relation between heat flux and temperature gradient, but this is rarely addressed explicitly. Here, we present a formalism that enables detailed…

Mesoscale and Nanoscale Physics · Physics 2015-04-28 Bjorn Vermeersch , Ali Shakouri

Whether or not anomalies in the thermal conductivity in insulating cuprates can be attributed to antiferromagnetic order and magnons in a 2D Mott insulator remains an intriguing open question. To shed light on this issue, we investigate the…

Strongly Correlated Electrons · Physics 2022-04-20 Wen O. Wang , Jixun K. Ding , Brian Moritz , Edwin W. Huang , Thomas P. Devereaux

The recently developed concept of "entropic defect" is important for understanding the foundations of thermodynamics in space plasma physics, and more generally, for systems with physical correlations among their particles. Using this…

Plasma Physics · Physics 2022-11-30 George Livadiotis , David J. McComas

We rediscuss recent derivations of kinetic equations based on the Kaniadakis' entropy concept. Our primary objective here is to derive a kinetical version of the second law of thermodynamycs in such a $\kappa$-framework. To this end, we…

Statistical Mechanics · Physics 2009-11-11 R. Silva

We measure universal temperature-independent density shifts for the thermal conductivity $\kappa_T$ and shear viscosity $\eta$, relative to the high temperature limits, for a normal phase unitary Fermi gas confined in a box potential. We…

Quantum Gases · Physics 2024-11-22 Xiang Li , J. Huang , J. E. Thomas

We examine numerically the full spatio-temporal correlation functions for all hydrodynamic quantities for the random collision model introduced recently. The autocorrelation function of the heat current, through the Kubo formula, gives a…

Statistical Mechanics · Physics 2009-11-10 J. M. Deutsch , Onuttom Narayan

We study heat conduction in a one-dimensional chain of particles with longitudinal as well as transverse motions. The particles are connected by two-dimensional harmonic springs together with bending angle interactions. Using equilibrium…

Statistical Mechanics · Physics 2009-11-10 Jian-Sheng Wang , Baowen Li

We performed event-driven simulations of a two-dimensional granular gas between two vibrating walls and directly measured the local heat flux and energy dissipation rate in the stationary state. Describing the local heat flux as a function…

Statistical Mechanics · Physics 2007-05-23 Olaf Herbst , Peter Müller , Annette Zippelius

The thermal conductivity of a $d=1$ lattice of ferromagnetically coupled planar rotators is studied through molecular dynamics. Two different types of anisotropies (local and in the coupling) are assumed in the inertial XY model. In the…

Statistical Mechanics · Physics 2023-09-27 Henrique Santos Lima , Constantino Tsallis

We study heat transport in the context of Hamiltonian and related stochastic models with nearest-neighbor coupling, and derive a universal law for the temperature profiles of a large class of such models. This law contains a parameter…

Statistical Mechanics · Physics 2009-11-10 Jean-Pierre Eckmann , Lai-Sang Young

We derive annual skymaps of the proton temperature in the inner heliosheath (IHS), and track their temporal evolution over the years from 2009 to 2016 of Interstellar Boundary Explorer observations. Other associated thermodynamic parameters…

Solar and Stellar Astrophysics · Physics 2022-10-26 G. Livadiotis , D. J. McComas , H. O. Funsten , N. A. Schwadron , J. R. Szalay , E. Zirnstein

We present a selective overview of the current state of our knowledge (more precisely of ourignorance) regarding the derivation of Fourier's Law, ${\bf J}(\br) =-\kappa {\bf \nabla}T(\br)$; ${\bf J}$ the heat flux, $T$ the temperature and…

Mathematical Physics · Physics 2007-05-23 F. Bonetto , J. L. Lebowitz , L. Rey-Bellet

Low temperature thermal conductivity, $\kappa$, of optimally-doped Bi2212 was studied before and after the introduction of point defects by electron irradiation. The amplitude of the linear component of $\kappa$ remains unchanged,…

Superconductivity · Physics 2009-10-31 S. Nakamae , K. Behnia , L. Balicas , F. Rullier-Albenque , H. Berger , T. Tamegai

The thermal conductivity $\kappa$ of underdoped \Y was measured in the $T \to 0$ limit as a function of hole concentration $p$ across the superconducting critical point at $p_{SC}$ = 5.0%. ``Time doping'' was used to resolve the evolution…

We outline a partial-fractions decomposition method for determining the one-particle spectral function and single-particle density of states of a correlated electronic system on a finite lattice in the non self-consistent T-matrix…

Strongly Correlated Electrons · Physics 2009-11-10 R. J. Gooding , F. Marsiglio , S. Verga , K. S. D. Beach

We introduce a model whose thermal conductivity diverges in dimension 1 and 2, while it remains finite in dimension 3. We consider a system of oscillators perturbed by a stochastic dynamics conserving momentum and energy. We compute thermal…

Statistical Mechanics · Physics 2009-03-04 Giada Basile , Cedric Bernardin , Stefano Olla

We study the transport of heat along a chain of particles interacting through a harmonic potential and subject to heat reservoirs at its ends. Each particle has two degrees of freedom and is subject to a stochastic noise that produces…

Statistical Mechanics · Physics 2015-06-17 Gabriel T. Landi , Mario J. de Oliveira

An extension of Maxwell's original prescription for an ideal gas is adopted to derive a broad class of Kappa-type velocity distributions, encompassing both fat and short-tailed forms. Within this general framework, a physically consistent…

Plasma Physics · Physics 2025-08-04 J. A. S. Lima , M. H. Benetti

Thermal conductance measurements, sensitive to charge and chargeless energy flow, are evolving as an essential measurement technique in Condensed Matter Physics. For two-dimensional topological insulators, the measurements of the thermal…

Mesoscale and Nanoscale Physics · Physics 2022-04-29 Ron Aharon Melcer , Sofia Konyzheva , Moty Heiblum , Vladimir Umansky
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