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In discrete-state Markovian systems, many important properties of correlations functions and relaxation dynamics depend on the spectrum of the rate matrix. Here we demonstrate the existence of a universal trade-off between thermodynamic and…

统计力学 · 物理学 2024-01-24 Artemy Kolchinsky , Naruo Ohga , Sosuke Ito

We algebraically prove the asymmetry in thermal relaxation in phase space in the entire range from overdamped dynamics to underdamped dynamics. We show that for the same setup as for overdamped dynamics, even in the more general case of…

统计力学 · 物理学 2026-03-20 Cai Dieball , Aljaž Godec

We study diffusion and mixing in different linear fluid dynamics models, mainly related to incompressible flows. In this setting, mixing is a purely advective effect which causes a transfer of energy to high frequencies. When diffusion is…

偏微分方程分析 · 数学 2018-06-11 Michele Coti Zelati , Matias G. Delgadino , Tarek M. Elgindi

Fluctuations of energy and heat are investigated during the relaxation following the instantaneous temperature quench of an extended system. Results are obtained analytically for the Gaussian model and for the large $N$ model quenched below…

统计力学 · 物理学 2015-06-22 M. Zannetti , F. Corberi , G. Gonnella , A. Piscitelli

We present a fluctuation relation for heat dissipation in a nonequilibrium system. A nonequilibrium work is known to obey the fluctuation theorem in any time interval $t$. A heat, which differs from a work by an energy change, is shown to…

统计力学 · 物理学 2012-06-19 Jae Dong Noh , Jong-Min Park

Equilibrium rate theories play a crucial role in understanding rare, reactive events. However, they are inapplicable to a range of irreversible processes in systems driven far from thermodynamic equilibrium like active and biological…

统计力学 · 物理学 2025-10-21 Eric R. Heller , David T. Limmer

Power and efficiency are fundamental criteria for evaluating the performance of thermodynamic cycles. However, it is generally impossible to maximize both simultaneously. In particular, achieving maximum efficiency inevitably leads to…

统计力学 · 物理学 2026-01-28 R. X. Zhai , Xin Yue , C. P. Sun

We consider heat exchange processes between non-equilibrium aging systems (in their activated regime) and the thermal bath in contact. We discuss a scenario where two different heat exchange processes concur in the overall heat dissipation:…

软凝聚态物质 · 物理学 2009-11-10 A. Crisanti , F Ritort

The influence of dissipation on the fluctuation statistics of the total energy is investigated through both a phenomenological and a stochastic model for dissipative energy-transfer through a cascade of states. In equilibrium the states…

统计力学 · 物理学 2013-06-27 Eric Bertin , Peter C. W. Holdsworth

Recent advances in quantum resource theories have been driven by the fact that many quantum information protocols make use of different facets of the same physical features, e.g. entanglement, coherence, etc. Resource theories formalise the…

量子物理 · 物理学 2023-01-23 Francesco Campaioli , Chang-shui Yu , Felix A. Pollock , Kavan Modi

Contemporary understanding of thermalization in quantum field theory stems largely from understanding properties of transient excitations of equilibria. These nonhydrodynamic excitations are known to structurally differ between weakly- and…

高能物理 - 理论 · 物理学 2025-11-17 Xin An , Robbe Brants , Michal P. Heller , Yi Yin

The rates at which energy and particle densities move to equalize arbitrarily large temperature and chemical potential differences in an isolated quantum system have an emergent thermodynamical description whenever energy or particle…

强关联电子 · 物理学 2015-12-31 Romain Vasseur , Christoph Karrasch , Joel E. Moore

Thermal contact is the archetype of non-equilibrium processes driven by constant non-equilibrium constraints when the latter are enforced by reservoirs exchanging conserved microscopic quantities. At a mesoscopic scale only the energies of…

统计力学 · 物理学 2014-12-30 Michel Bauer , Françoise Cornu

Dissipative quantum systems are frequently described within the framework of the so-called "system-plus-reservoir" approach. In this work we assign their description to the Maximum Entropy Formalism and compare the resulting thermodynamic…

统计力学 · 物理学 2017-01-04 Lisan M. M. Durão , Amir O. Caldeira

Bounds of the minimum evolution time between two distinguishable states of a system can help to assess the maximal speed of quantum computers and communication channels. We study the quantum speed limit time of a composite quantum states in…

量子物理 · 物理学 2014-09-16 Ying-Jie Zhang , Wei Han , Yun-Jie Xia , Ke-Xia Jiang , Jun-Peng Cao , Heng Fan

We discuss the local equilibration of closed systems using the relative purity, a paradigmatic information-theoretic distinguishability measure that finds applications ranging from quantum metrology to quantum speed limits. First we obtain…

量子物理 · 物理学 2021-11-30 Diego Paiva Pires , Thiago R. de Oliveira

Evidence suggests that the transport rate of a passive particle at long timescales is enhanced due to interactions with the surrounding active ones in a size- and composition-dependent manner. Using a system of particles with different…

软凝聚态物质 · 物理学 2021-07-14 Efe Ilker , Michele Castellana , Jean-François Joanny

We discuss the approach toward equilibrium of an isolated quantum system. For a wide class of systems we argue that the time-averaged expectation value of a local operator in any initial state is bounded by the so-called deviation function,…

统计力学 · 物理学 2019-06-12 Anatoly Dymarsky

Temporal evolutions toward thermal equilibria are numerically investigated in a Hamiltonian system with many degrees of freedom which has second order phase transition. Relaxation processes are studied through local order parameter, and…

chao-dyn · 物理学 2009-10-28 Yoshiyuki Y. Yamaguchi

Diffusive motion in an externally driven potential is considered. It is shown that the distribution of work required to drive the system from an initial equilibrium state to another is Gaussian for slow but finite driving. Our result is…

统计力学 · 物理学 2007-05-23 Thomas Speck , Udo Seifert