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Related papers: Thermal conduction in molecular chains: Non-Markov…

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We study qubit-mediated energy transfer between two electron reservoirs by adopting a numerically-exact influence functional path-integral method. This non-perturbative technique allows us to study the system's dynamics beyond the weak…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 D. Segal

Heat conduction in one-dimensional (1D) systems is studied based on an analytical S-matrix method, which is developed in the mesoscopic electronic transport theory and molecular dynamic (MD) simulations. It is found that heat conduction in…

Statistical Mechanics · Physics 2007-05-23 Xin Zhou , Mitsumasa Iwamoto

We continue the study of a model for heat conduction consisting of a chain of non-linear oscillators coupled to two Hamiltonian heat reservoirs at different temperatures. We establish existence of a Liapunov function for the chain dynamics…

Mathematical Physics · Physics 2009-11-07 Luc Rey-Bellet , Lawrence E. Thomas

We study thermalization and non-equilibrium dynamics in a dissipative quantum many-body system -- a chain of ions with two points of the chain driven by thermal bath under different temperature. Instead of a simple linear temperature…

Quantum Physics · Physics 2011-08-01 G. -D. Lin , L. -M. Duan

Chains of particles coupled through anharmonic interactions and subject to non-Gaussian baths can exhibit paradoxical outcomes such as heat currents flowing from colder to hotter reservoirs. Aiming to explore the role of generic…

Statistical Mechanics · Physics 2019-09-18 E. H. Colombo , L. A. C. A. Defaveri , C. Anteneodo

The performance characteristics of a heat rectifier and a heat pump are studied in a non Markovian framework. The device is constructed from a molecule connected to a hot and cold reservoir. The heat baths are modelled using the stochastic…

Quantum Physics · Physics 2016-06-09 Gil Katz , Ronnie Kosloff

We consider a chain of anharmonic oscillators immersed in a heat bath with a temperature gradient and a time varying tension applied to one end of the chain while the other side is fixed to a point. We prove that under diffusive space-time…

Probability · Mathematics 2016-05-16 Viviana Letizia , Stefano Olla

Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these equations are of an approximate nature, they often do not respect the laws of…

Quantum Physics · Physics 2021-12-09 Patrick P. Potts , Alex Arash Sand Kalaee , Andreas Wacker

We analyze the transport of heat along a chain of particles interacting through anharmonic po- tentials consisting of quartic terms in addition to harmonic quadratic terms and subject to heat reservoirs at its ends. Each particle is also…

Statistical Mechanics · Physics 2015-06-15 Gabriel T. Landi , Mario J. de Oliveira

We derive a macroscopic heat equation for the temperature of a pinned harmonic chain subject to a periodic force at its right side and in contact with a heat bath at its left side. The microscopic dynamics in the bulk is given by the…

Mathematical Physics · Physics 2023-05-03 Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla

We study the stochastic thermodynamics of an overdamped harmonic chain, which can be viewed equivalently as a 1D Rouse chain or as an approximate model of single file diffusion. We discuss mainly two levels of description of this system:…

Statistical Mechanics · Physics 2015-06-23 David Lacoste , Michael A. Lomholt

We study the thermodynamic properties induced by non-reciprocal interactions between stochastic degrees of freedom in time- and space-continuous systems. We show that, under fairly general conditions, non-reciprocal coupling alone implies a…

Statistical Mechanics · Physics 2021-04-29 Sarah A. M. Loos , Sabine H. L. Klapp

In this work we study how the non-Markovian character of the dynamics can affect the thermodynamic performance of a quantum thermal engine, by analysing the maximum power output of Carnot and Otto cycles departing from the quasi-static and…

Quantum Physics · Physics 2019-05-15 Paolo Abiuso , Vittorio Giovannetti

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

Using a non-perturbative classical model, we numerically investigate the dynamics of mobile particles interacting with an infinite chain of harmonic oscillators, an abstraction of ionic conduction through solid-state materials. We show that…

Mesoscale and Nanoscale Physics · Physics 2022-05-03 A. Rodin , B. A. Olsen , M. Choi , A. Tan

Heat conduction in one-dimensional Yukawa chains is investigated. It is shown numerically that it has the abnormal heat conduction which is proportional to the system size. Effects of asymmetric external potential, the modified…

Statistical Mechanics · Physics 2007-05-23 Bambi Hu , Haibin Li , Bai-Song Xie

We show that non-Markovian effects of the reservoirs can be used as a resource to extract work from an Otto cycle. The state transformation under non-Markovian dynamics is achieved via a two-step process, namely an isothermal process using…

Quantum Physics · Physics 2018-06-07 George Thomas , Nana Siddharth , Subhashish Banerjee , Sibasish Ghosh

In the present chapter, we discuss an approach for transition from discrete to continuum description of thermomechanical behavior of solids. The transition is carried out for several anharmonic systems: one-dimensional crystal,…

Statistical Mechanics · Physics 2017-08-01 Anton M. Krivtsov , Vitaly A. Kuzkin

We obtain an analytical expression for the heat current between two overdamped quantum oscillators interacting with local thermal baths at different temperatures. The total heat current is split into classical and quantum contributions. We…

Quantum Physics · Physics 2021-01-04 Sadeq S. Kadijani , Thomas L. Schmidt , Massimiliano Esposito , Nahuel Freitas

We introduce a model for charge and heat transport based on the Landauer-Buttiker scattering approach. The system consists of a chain of $N$ quantum dots, each of them being coupled to a particle reservoir. Additionally, the left and right…

Mesoscale and Nanoscale Physics · Physics 2009-03-19 Philippe A. Jacquet