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We investigate solvable models of heat transport between a pair of quantum mechanical systems initialized at two different temperatures. At time $t=0$, a weak interaction is switched on between the systems, and we study the resulting energy…

High Energy Physics - Theory · Physics 2025-08-14 R Loganayagam , Prithvi Narayan , Swathi T S

We follow the nonequilibrium Green's function formalism to study time-dependent thermal transport in a linear chain system consisting of two semi-infinite leads connected together by a coupling that is harmonically modulated in time. The…

Mesoscale and Nanoscale Physics · Physics 2010-08-18 Eduardo C. Cuansing , Jian-Sheng Wang

Heat transport in open quantum systems is particularly susceptible to the modeling of system-reservoir interactions. It thus requires to consistently treat the coupling between a quantum system and its environment. While perturbative…

Statistical Mechanics · Physics 2017-06-07 Thomas Motz , Joachim Ankerhold , Jürgen T. Stockburger

We study a moving adsorbate interacting with a metal electrode immersed in a solvent using the time-dependent Newns-Anderson-Schmickler model Hamiltonian. We have adopted a semiclassical trajectory treatment of the adsorbate to discuss the…

Mesoscale and Nanoscale Physics · Physics 2026-04-01 Elvis F. Arguelles , Osamu Sugino

We demonstrate the remnant presence of {\em initial} correlations in the {\em steady-state} electrical current flowing between low-dimensional interacting leads. The leads are described as Luttinger liquids and electrons can tunnel via a…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 E. Perfetto , G. Stefanucci , M. Cini

We analyze an electronic nanoscale thermal machine driven by time-dependent environment: besides bias and gate voltage variations, we consider also the less prevailing time modulation of the couplings between leads and dot. We provide…

Mesoscale and Nanoscale Physics · Physics 2016-01-18 A. -M. Daré , P. Lombardo

The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling…

Strongly Correlated Electrons · Physics 2020-06-01 DinhDuy Vu , Anibal Iucci , Sankar Das Sarma

We study how the Einstein relation between spontaneous fluctuations and the response to an external perturbation holds in the absence of currents, for the comb model and the elastic single-file, which are examples of systems with…

Statistical Mechanics · Physics 2015-05-27 D Villamaina , A Sarracino , G Gradenigo , A Puglisi , A Vulpiani

A model of holographic dark energy with an interaction with matter fields has been investigated. Choosing the future event horizon as an IR cutoff, we have shown that the ratio of energy densities can vary with time. With the interaction…

High Energy Physics - Theory · Physics 2009-11-11 Bin Wang , Yungui Gong , Elcio Abdalla

It has been observed in many numerical simulations, experiments and from various theoretical treatments that heat transport in one-dimensional systems of interacting particles cannot be described by the phenomenological Fourier's law. The…

Statistical Mechanics · Physics 2019-11-12 Abhishek Dhar , Anupam Kundu , Aritra Kundu

We present a method, based on the classical Green-Kubo theory of linear response, to compute the heat conductivity of extended systems, leveraging energy-density, rather than energy-current, fluctuations, thus avoiding the need to devise an…

Materials Science · Physics 2024-02-01 Enrico Drigo , Maria Grazia Izzo , Stefano Baroni

Understanding thermal transport in nanoscale systems presents important challenges to both theory and experiment. In particular, the concept of local temperature at the nanoscale appears difficult to justify. Here, we propose a novel…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 Robert Biele , Roberto D'Agosta , Angel Rubio

In this work, we consider the so-called correlated random walk system (also known as correlated motion or persistent motion system), used in biological modelling, among other fields, such as chromatography. This is a linear system which can…

Analysis of PDEs · Mathematics 2025-01-22 Joaquín Menacho , Marta Pellicer , J. Solà-Morales

The self-energy encodes the fundamental lifetime of quasiparticle excitations. In one dimension, it is known to display anomalous behavior at zero temperature for interacting fermions, reflecting the breakdown of Fermi-liquid theory. Here…

Strongly Correlated Electrons · Physics 2025-09-26 Catalin Pascu Moca , Balázs Dóra

In the quasi-stationary states of the Hamiltonian Mean-Field model, we numerically compute correlation functions of momenta and diffusion of angles with homogeneous initial conditions. This is an example, in a N-body Hamiltonian system, of…

Statistical Mechanics · Physics 2007-05-23 Yoshiyuki Yamaguchi , Freddy Bouchet , Thierry Dauxois

The Letter addresses the relationship between hyperbolic equations of heat conduction and microscopic models of dielectrics. Effects of the non-stationary heat conduction are investigated in two one-dimensional models with conserved…

Statistical Mechanics · Physics 2015-05-14 Oleg V. Gendelman , Alexander V. Savin

Employing instanton technique we evaluate equilibrium persistent current (PC) produced by a quantum particle moving in a periodic potential on a ring and interacting with a dissipative environment formed by diffusive electron gas. The model…

Mesoscale and Nanoscale Physics · Physics 2009-10-13 Andrew G. Semenov , Andrei D. Zaikin

In this article, to study the heat flow behavior, we perform analytical investigations in a rotor chain type model (involving inner stochastic noises) with next and next-nearest-neighbor interactions. It is known in the literature that the…

Mathematical Physics · Physics 2023-09-08 Humberto C. F. Lemos , Emmanuel Pereira

The presence of algebraically decaying long-range interactions may alter the critical as well as topological behaviour of a quantum many-body systems. However, when the interaction decays at a faster rate, the short-range behaviour is…

Statistical Mechanics · Physics 2019-12-05 Somnath Maity , Utso Bhattacharya , Amit Dutta

Size-dependence of energy transport and the effects of reduced dimensionality on transport coefficients are of key importance for understanding nonequilibrium properties of matter on the nanoscale. Here, we perform nonequilibrium and…

Statistical Mechanics · Physics 2021-05-26 Rongxiang Luo , Lisheng Huang , Stefano Lepri