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Related papers: A Kac system interacting with two heat reservoirs

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In this paper, we study a system of $M$ particles interacting with a reservoir of $N$ particles, where $N >> M$, and compare this setup to one where the $M$-particle system interacts with a thermostat of infinite particles. Our goal is to…

Mathematical Physics · Physics 2025-12-16 Federico Bonetto , Anthony Popa , Matthew Powell , Peter Chen , Steven Tung

We study the evolution of a system of M particles in contact with a large reservoir of N>>M particles. The reservoir is initially in equilibrium at temperature T=1/\beta. The evolution of the system and reservoir is described via a suitable…

Mathematical Physics · Physics 2016-12-21 Federico Bonetto , Michael Loss , Hagop Tossounian , Ranjini Vaidyanathan

We study a system of $N$ particles interacting through the Kac collision, with $m$ of them interacting, in addition, with a Maxwellian thermostat at temperature $\frac{1}{\beta}$. We use two indicators to understand the approach to the…

Mathematical Physics · Physics 2015-11-05 Hagop Tossounian , Ranjini Vaidyanathan

We consider a system of $M$ particles in contact with a heat reservoir of $N\gg M$ particles. The evolution in the system and the reservoir, together with their interaction, are modeled via the Kac's Master Equation. We chose the initial…

Mathematical Physics · Physics 2021-09-01 Federico Bonetto , Rui Han , Michael Loss

We study a model of random colliding particles interacting with an infinite reservoir at fixed temperature and chemical potential. Interaction between the particles is modeled via a Kac master equation \cite{kac}. Moreover, particles can…

Mathematical Physics · Physics 2022-06-08 Justin Beck , Federico Bonetto

In this paper we study a model of randomly colliding particles interacting with a thermal bath. Collisions between particles are modeled via the Kac master equation while the thermostat is seen as an infinite gas at thermal equilibrium at…

Mathematical Physics · Physics 2014-07-21 Federico Bonetto , Michael Loss , Ranjini Vaidyanathan

The heat flow between a quantum system and its reservoir is analyzed when initially both are in a separable thermal state and asymptotically approach a correlated equilibrium. General findings are illustrated for specific systems and…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Joachim Ankerhold , Jukka P. Pekola

The generation of entanglement between two oscillators that interact via a common reservoir is theoretically studied. The reservoir is modeled by a one-dimensional harmonic crystal initially in thermal equilibrium. Starting from a separable…

Quantum Physics · Physics 2011-09-13 Alexander Wolf , Gabriele De Chiara , Endre Kajari , Eric Lutz , Giovanna Morigi

The usual paradigm of open quantum systems falls short when the environment is actually coupled to additional fields or components that drive it out of equilibrium. Here we explore the simplest such scenario, by considering a two level…

Quantum Physics · Physics 2020-09-08 Andreu Anglés-Castillo , Mari Carmen Bañuls , Armando Pérez , Inés De Vega

We investigate a system of two interacting qubits having one of them isolated and the other coupled to a thermal reservoir. We consider two different models of system-reservoir interaction: i) a "microscopic" model, in which the master…

Quantum Physics · Physics 2021-02-09 G. L. Deçordi , A. Vidiella-Barranco

Collisional reservoirs are becoming a major tool for modelling open quantum systems. In their simplest implementation, an external agent switches on, for a given time, the interaction between the system and a specimen from the reservoir.…

We consider the temperature fluctuations of a small object. Classical fluctuations of the temperature have been considered for a long time. Using the Nyquist approach, we show that the temperature of an object fluctuates when in a thermal…

Statistical Mechanics · Physics 2015-06-24 A. V. Balatsky , Jian-Xin Zhu

We introduce and analyze a class of heat engines composed of interacting units, in which the thermal reservoir is associated with the neighborhood surrounding each unit. These systems can be mapped onto stochastic opinion models and are…

Statistical Mechanics · Physics 2025-09-10 Carlos E. Fiore

We consider finite sized atomic systems with varying number of particles which have dipolar interactions among them and also under the collective driving and dissipative effect of thermal photon environment. Focusing on the simple case of…

Quantum Physics · Physics 2017-09-25 B. Çakmak , A. Manatuly , Ö. E. Müstecaplıoğlu

We introduce a generalized version of the Kac ring model in which particles are of two types, black and white. Black particles modify the environment through which all particles move, thereby inducing indirect and potentially long-range…

Statistical Mechanics · Physics 2025-10-07 Leonid A. Bunimovich , Emilio N. M. Cirillo , Matteo Colangeli , Lamberto Rondoni

We investigate the heat transport between two nonthermal reservoirs based on a microscopic collision model. We consider a bipartite system consisting of two identical subsystems, and each subsystem interacts with its own local reservoir,…

Quantum Physics · Physics 2018-03-14 Lei Li , Jian Zou , Hai Li , Bao-Ming Xu , Yuan-Mei Wang , Bin Shao

We consider a model for an edge state of electronic systems in the quantum Hall regime with filling $\nu=1$ and in the quantum spin Hall regime. In both cases the system is in contact with two reservoirs by tunneling at point contacts. Both…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Liliana Arrachea , Eduardo Fradkin

We study a quantum system composed of three interacting qubits, each coupled to a different thermal reservoir. We show how to engineer it in order to build a quantum device that is analogous to an electronic bipolar transistor. We outline…

Quantum Physics · Physics 2021-09-22 Antonio Mandarino , Karl Joulain , Melisa Domínguez Gómez , Bruno Bellomo

We consider a finite quantum system S coupled to two environments of different nature. One is a heat reservoir R (continuous interaction) and the other one is a chain C of independent quantum systems E (repeated interaction). The…

Mathematical Physics · Physics 2015-05-13 Laurent Bruneau , Alain Joye , Marco Merkli

The dynamics of open quantum systems connected with several reservoirs attract great attention due to its importance in quantum optics, biology, quantum thermodynamics, transport phenomena, etc. In many problems, the Born approximation is…

Quantum Physics · Physics 2023-12-20 I. V. Vovchenko , A. A. Zyablovsky , A. A. Pukhov , E. S. Andrianov
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