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By modelling heat engines as driven multi-partite system we show that their dissipation can be expressed in terms of the lag (relative entropy) between the perturbed state of each partition and their equilibrium state, and the correlations…

Statistical Mechanics · Physics 2016-07-19 Michele Campisi , Rosario Fazio

As an application of the classically decayable correlation in a quantum chaos system maintained over an extremely long time-scale (Matsui et al, Europhys.Lett. 113(2016),40008), we propose a minimal model of quantum damper composed of a…

Statistical Mechanics · Physics 2018-07-20 Fumihiro Matsui , Hiroaki S. Yamada , Kensuke S. Ikeda

Mechanisms of resistivity can be divided into two basic classes: one is dissipative (like scattering on phonons) and another is quasi-elastic (like scattering on static impurities). They are often treated by the empirical Matthiessen rule,…

Statistical Mechanics · Physics 2024-07-24 Anton Kapustin , Gregory Falkovich

A Hamiltonian approach is presented to study the two dimensional motion of damped electric charges in time dependent electromagnetic fields. The classical and the corresponding quantum mechanical problems are solved for particular cases…

We consider the dissipative charging process of quantum batteries in terms of a collisional model, where the batteries are coupled to a heat bath using non-energy preserving interactions. First, we show that for low temperatures the…

Quantum Physics · Physics 2022-06-07 Franco Mayo , Augusto J. Roncaglia

The dynamics of a pair of coupled harmonic oscillators in separate or common thermal environments is studied, focusing on different indicators of quantumness, such as entanglement, twin oscillators correlations and quantum discord. We…

Quantum Physics · Physics 2011-12-13 Gian Luca Giorgi , Fernando Galve , Roberta Zambrini

Nonlinear elements in a rectifying circuit can be used to harvest energy from thermal fluctuations either steadily or transitorily. We study an energy harvesting system comprising a small variable capacitor (e.g., free standing graphene)…

Statistical Mechanics · Physics 2026-02-12 L. L. Bonilla , A. Torrente , J. M. Mangum , P. M. Thibado

We study the dynamic behavior at high energies of a chain of anharmonic oscillators coupled at its ends to heat baths at possibly different temperatures. In our setup, each oscillator is subject to a homogeneous anharmonic pinning potential…

Mathematical Physics · Physics 2009-03-25 Martin Hairer , Jonathan C. Mattingly

We consider a system in direct contact with a thermal reservoir and which, if left unperturbed, is well described by a memory-less equilibrium Langevin equation of the second order in the time coordinate. In such conditions, the strength of…

Statistical Mechanics · Physics 2015-05-13 Paolo De Gregorio , Lamberto Rondoni , Michele Bonaldi , Livia Conti

Dissipation using a finite environment coupled to a single harmonic oscillator have been studied quite extensively. We extend the study by looking at the dynamics of the dissipation when we introduce a second bath of N identical quartic…

Chaotic Dynamics · Physics 2017-01-30 Diptanil Roy , A. V. Anil Kumar

Quantum control allows us to address the problem of engineering quantum dynamics for special purposes. While recently the field of quantum batteries has attracted much attention, optimization of their charging has not benefited from the…

Quantum Physics · Physics 2024-04-12 R. R. Rodriguez , B. Ahmadi , G. Suarez , P. Mazurek , S. Barzanjeh , P. Horodecki

A popular model of decoherence based on the linear coupling to harmonic oscillator heat baths is analized and shown to be inappropriate in the regime where decoherence dominates over energy dissipation, called pure decoherence regime. The…

Quantum Physics · Physics 2008-01-08 Robert Alicki

This paper addresses the total mechanical energy of a single degree of freedom fractional oscillator. Based on the energy storage and dissipation properties of the Caputo fractional derivatives, the expression for total mechanical energy in…

Classical Physics · Physics 2016-08-16 Jian Yuan , Bao Shi , Mingjiu Gai , Shujie Yang

Teaching by direct models in science has been weakening the learning process of the students, because the real problems in engineering are not solved by direct models instead commonly they are solved by inverse models. On the other hand,…

Physics Education · Physics 2019-08-09 K. L. Cristiano , D. A. Triana , R. Ortiz , A. F. Estupiñán

In this paper we discuss a protocol for charging a two-level quantum battery using a bipartite charger composed of two quantum harmonic oscillators. As one of its features, it allows us to fully charge the battery and is universally optimal…

Quantum Physics · Physics 2026-03-24 Yohan Vianna , Marcelo F. Santos

Understanding the loss of non-equilibrium capacitance in the electric double layer capacitor (EDLC) during continuous charging compared to equilibrium capacitance is crucial for the design of high-rate energy storage devices. Due to three…

Materials Science · Physics 2025-03-21 Jia Li , Xinyu Zhang , Wei Wu

We revisit the statistical mechanics of charge fluctuations in capacitors. In constant-potential classical molecular simulations, the atomic charge of electrode atoms are treated as additional degrees of freedom which evolve in time so as…

We investigate two prototypical dissipative bosonic systems under slow driving and arbitrary system-bath coupling strength, recovering their dynamic evolution as well as the heat and work rates, and we verify that thermodynamic laws are…

Mesoscale and Nanoscale Physics · Physics 2018-03-01 Maicol A. Ochoa , Natalya Zymbovskaya , Abraham Nitzan

The author's modified Coulomb damping model has been generalized to accommodate internal friction that derives from several dissipation mechanisms acting simultaneously. Because of its fundamental nonlinear nature, internal friction damping…

Classical Physics · Physics 2007-05-23 Randall D. Peters

We describe quantum behaviors of a simple harmonic oscillator, starting from the classical mechanics. By imposing two conditions on the phase points generated from a symplectic algorithm, we obtain discrete energy levels, satisfying $E_n…

Quantum Physics · Physics 2013-07-02 Sangrak Kim