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We propose a model with a quantized degree of freedom to study the heat transport in quasi-one dimensional system. Our simulations reveal three distinct temperature regimes. In particular, the intermediate regime is characterized by heat…

Disordered Systems and Neural Networks · Physics 2009-11-11 Jun-Wen Mao , You-Quan Li

Deriving macroscopic phenomenological laws of irreversible thermodynamics from simple microscopic models is one of the tasks of non-equilibrium statistical mechanics. We consider stationary energy transport in crystals with reference to…

Statistical Mechanics · Physics 2015-06-24 Stefano Lepri , Roberto Livi , Antonio Politi

We investigate the quantum transport of the heat and the charge through a quantum dot coupled to fermionic contacts under the influence of time modulation of temperatures. We derive, within the nonequilibrium Keldysh Green's function…

Mesoscale and Nanoscale Physics · Physics 2024-04-10 Rosa López , Pascal Simon , Minchul Lee

Close to equilibrium, the exchange of particles and heat between macroscopic systems at different temperatures and different chemical potentials is known to be governed by a matrix of transport coefficients which is positive and symmetric.…

Statistical Mechanics · Physics 2017-10-11 Euijin Jeon , Peter Talkner , Juyeon Yi , Yong Woon Kim

We introduce the idea of {\it collisional models} for Brownian particles, in which a particle is sequentially placed in contact with distinct thermal environments and external forces. Thermodynamic properties are exactly obtained,…

Statistical Mechanics · Physics 2020-10-07 Angel L. L. Stable , Carlos E. F. Noa , William G. C. Oropesa , C. E. Fiore

We study the Hamiltonian motion of an ensemble of unconfined classical particles driven by an external field F through a translationally-invariant, thermal array of monochromatic Einstein oscillators. The system does not sustain a…

Statistical Mechanics · Physics 2009-11-13 P. Lafitte , P. E. Parris , S. De Bievre

We outline a general formalism of hydrodynamics for quantum systems with multiple particle species which undergo completely elastic scattering. In the thermodynamic limit, the complete kinematic data of the problem consists of the particle…

Statistical Mechanics · Physics 2017-09-06 Enej Ilievski , Jacopo De Nardis

We develop the `duality approach', that has been extensively studied for classical models of transport, for quantum systems in contact with a thermal `Lindbladian' bath. The method provides (a) a mapping of the original model to a simpler…

Statistical Mechanics · Physics 2021-06-09 Rouven Frassek , Cristian Giardinà , Jorge Kurchan

We study a system of interacting particles in a periodically moving external potential, within the simplest possible description of paradigmatic symmetric exclusion process on a ring. The model describes diffusion of hardcore particles…

Statistical Mechanics · Physics 2014-04-17 Rakesh Chatterjee , Sakuntala Chatterjee , Punyabrata Pradhan , S. S. Manna

The thermoelectric transport through a benzene molecule with three metallic terminals is discussed. Using general local and non-local transport coeffcients, we investigated different conductance and thermopower coefficients within the…

Mesoscale and Nanoscale Physics · Physics 2018-05-22 Zahra Sartipi , Javad Vahedi

In this article we review aspects of charge and heat transport in interacting quantum dots and molecular junctions under stationary and time-dependent non-equilibrium conditions due to finite electrical and thermal bias. In particular, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 F. Haupt , M. Leijnse , H. L. Calvo , L. Classen , J. Splettstoesser , M. R. Wegewijs

By using a correlated projection operator, the time-convolutionless (TCL) method to derive a quantum master equation can be utilized to investigate the transport behavior of quantum systems as well. Here, we analyze a three-dimensional…

Quantum Physics · Physics 2008-01-18 Hendrik Weimer , Mathias Michel , Jochen Gemmer , Günter Mahler

We study the energy transport in a system of two half-infinite XXZ chains initially kept separated at different temperatures, and later connected and let free to evolve unitarily. By changing independently the parameters of the two halves,…

Statistical Mechanics · Physics 2016-06-01 Alberto Biella , Andrea De Luca , Jacopo Viti , Davide Rossini , Leonardo Mazza , Rosario Fazio

A microscopic formalism to calculate thermal transport coefficients is presented based on a thermal vector potential, whose time-derivative is related to a thermal force. The formalism is free from unphysical divergences reported to arise…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Gen Tatara

In this paper we create a model of particle motion on a three-dimensional lattice using discrete random walk with small steps. We rigorously construct a probability space of the particle trajectories. Unlike deterministic approach in…

Probability · Mathematics 2022-03-04 Farida Kachapova , Ilias Kachapov

We study a message passing model, applicable also to traffic problems. The model is implemented in a discrete lattice, where particles move towards their destination, with fluctuations around the minimal distance path. A repulsive…

Condensed Matter · Physics 2009-10-28 I. Campos , A. Tarancon , F. Clerot , L. A. Fernandez

The classical Landau--Lifshitz equation -- the simplest model of a ferromagnet -- provides an archetypal example for studying transport phenomena. In one-spatial dimension, integrability enables the classification of the spectrum of linear…

Statistical Mechanics · Physics 2024-09-06 Alvise Bastianello , Žiga Krajnik , Enej Ilievski

We revisit stochastic thermodynamics for a system with discrete energy states in contact with a heat and particle reservoir.

Statistical Mechanics · Physics 2015-06-19 Christian Van den Broeck , Massimiliano Esposito

A nanowire with its two ends fixed at two different temperatures by external baths is the simplest example of a fermionic system with a temperature inhomogeneity, and could be an easy platform to study thermodynamic and transport properties…

Mesoscale and Nanoscale Physics · Physics 2025-04-07 Yuan Gao , K. A. Muttalib

In the recent progress in nonequilibrium thermodynamics, information has been recognized as a kind of thermodynamic resource that can drive thermodynamic current without any direct energy injection. In this paper, we establish the framework…

Statistical Mechanics · Physics 2016-11-22 Shumpei Yamamoto , Sosuke Ito , Naoto Shiraishi , Takahiro Sagawa
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