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Stochastic thermodynamics and the associated fluctuation relations provide the means to extend the fundamental laws of thermodynamics to small scales and systems out of equilibrium. The fluctuating thermodynamic variables are usually…

统计力学 · 物理学 2015-05-29 Aki Kutvonen , Tapio Ala-Nissilä , Jukka P. Pekola

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

统计力学 · 物理学 2022-06-30 Cillian Cockrell , Ian J Ford

Non-Markovian dynamics arise when a system is coupled to a bath with finite correlation time, giving rise to memory effects that allow the bath to temporarily store and return excitations. However, how memory modifies irreversibility and…

统计力学 · 物理学 2026-04-29 Ken Funo , Tan Van Vu , Keiji Saito

Accessing the physical mechanisms behind non-Markovian phenomena in open quantum dynamics requires the study of the statistical properties of the joint system-environment dynamics. This is impossible at the level of the reduced dynamics of…

量子物理 · 物理学 2026-03-17 Giovanni Nichele , Fabio Benatti

Entropy production plays a fundamental role in nonequilibrium thermodynamics to quantify the irreversibility of open systems. Its positivity can be ensured for a wide class of setups, but the entropy production rate can become negative…

统计力学 · 物理学 2019-01-23 Philipp Strasberg , Massimiliano Esposito

We study the dynamics of a quantum system whose interaction with an environment is described by a collision model, i.e. the open dynamics is modelled through sequences of unitary interactions between the system and the individual…

量子物理 · 物理学 2018-07-31 Steve Campbell , Francesco Ciccarello , G. Massimo Palma , Bassano Vacchini

We develop the thermodynamics of non-Markovian generalized Langevin equations by embedding them in a high-dimensional Markovian representation involving auxiliary degrees of freedom. If the memory is linear and satisfies detailed balance…

统计力学 · 物理学 2026-04-29 Andreas Dechant , Kiyoshi Kanazawa

We investigate the irreversible entropy production of a qubit in contact with an environment modelled by a microscopic collision model both in Markovian and non-Markovian regimes. Our main goal is to contribute to the discussions on the…

量子物理 · 物理学 2022-06-15 Hüseyin T. Şenyaşa , Şahinde Kesgin , Göktuğ Karpat , Barış Çakmak

Exploiting previous results on Markovian dynamics and fluctuation theorems, we study the consequences of memory effects on single realizations of nonequilibrium processes within an open system approach. The entropy production along single…

统计力学 · 物理学 2015-06-12 Bruno Leggio , Anna Napoli , Heinz-Peter Breuer , Antonino Messina

We extend the definition of non-adiabatic entropy production given for Markovian systems in [M. Esposito and C. Van den Broeck, Phys. Rev. Lett. 104 090601, (2010)], to arbitrary non-Markov ergodic dynamics. We also introduce a notion of…

统计力学 · 物理学 2012-09-14 Reinaldo García-García

Non-Markovian dynamics is central to quantum information processing, as memory effects strongly influence coherence preservation, metrology, and communication. In this work, we investigate the role of stochastic system--bath couplings in…

量子物理 · 物理学 2025-09-17 Mehboob Rashid , Rayees A Mala , Saima Bashir , Muzaffar Qadir Lone

Entropy production is arguably the most universally applicable measure of non-equilibrium behavior, particularly for systems coupled to a heat bath. This setting encompasses driven soft matter as well as biomolecular, biochemical, and…

统计力学 · 物理学 2025-12-09 Udo Seifert

In interacting quantum many-body systems, relaxation toward equilibrium reflects a competition between internal chaotic dynamics and environmental dissipation. While conventional Markovian baths typically produce exponential decay,…

统计力学 · 物理学 2026-03-12 Gabriel Almeida , Pedro Ribeiro , Masudul Haque , Lucas Sá

In this work we introduce and characterize a broad class of quantum operations with a unique fixed point, termed quantum ergodic channels. We derive Lindblad-type master equations for these channels in arbitrary finite dimensions and…

Unlike macroscopic engines, the molecular machinery of living cells is strongly affected by fluctuations. Stochastic Thermodynamics uses Markovian jump processes to model the random transitions between the chemical and configurational…

统计力学 · 物理学 2015-10-19 Bernhard Altaner , Artur Wachtel , Jürgen Vollmer

This work brings together Keldysh non-equilibrium quantum theory and thermodynamics, by showing that a real-time diagrammatic technique is an equivalent of stochastic thermodynamics for non-Markovian quantum machines (heat engines,…

介观与纳米尺度物理 · 物理学 2021-03-16 Robert S. Whitney

Fluctuations in biochemical networks, e.g., in a living cell, have a complex origin that precludes a description of such systems in terms of bipartite or multipartite processes, as is usually done in the framework of stochastic and/or…

统计力学 · 物理学 2020-01-29 R. Chétrite , M. L. Rosinberg , T. Sagawa , G. Tarjus

Modelling the evolution of a system using stochastic dynamics typically implies a greater subjective uncertainty in the adopted system coordinates as time progresses, and stochastic entropy production has been developed as a measure of this…

统计力学 · 物理学 2023-02-06 Jonathan Dexter , Ian J. Ford

The population dynamics and stability of ecosystems of interacting species is studied from the perspective of non-equilibrium thermodynamics by assuming that species, through their biotic and abiotic interactions, are units of entropy…

生物物理 · 物理学 2007-05-23 Karo Michaelian

Memory effects arise in many complex systems, from protein folding, to the spreading of epidemics and financial decisions. While so-called non-Markovian dynamics is common in larger systems with interacting components, observations in…

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