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The relation between the thermodynamic entropy production and non-Markovian evolutions is matter of current research. Here, we study the behavior of the stochastic entropy production in open quantum systems undergoing unital non-Markovian…

Quantum Physics · Physics 2020-08-19 Stefano Gherardini , Stefano Marcantoni , Filippo Caruso

Why can the world resist the law of entropy increase and produce self-organizing structure? Does the entropy of an isolated system always only increase and never decrease? Can be thermodymamic degradation and self-organizing evolution…

Statistical Mechanics · Physics 2007-10-26 Xiu-San Xing

Stochastic thermodynamics gives universal relations for microscopic entropy production, yet its critical behavior at macroscopic nonequilibrium transitions remains unclassified. We study well-mixed reversible chemical reaction networks in…

Statistical Mechanics · Physics 2026-05-06 Kyota Tamano , Keiji Saito

We consider a bipartite quantum conductor and analyze fluctuations of heat quantity in a subsystem as well as self-information associated with the reduced-density matrix of the subsystem. By exploiting the multi-contour Keldysh technique,…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Yasuhiro Utsumi

We explore the consequences of a deterministic microscopic thermostat-reservoir contact mechanism. With different temperature reservoirs at each end of a two-dimensional system, a heat current is produced and the system has an anomalous…

Statistical Mechanics · Physics 2015-06-15 Gary P. Morriss , Daniel P. Truant

On a fine grained scale the Gibbs entropy of an isolated system remains constant throughout its dynamical evolution. This is a consequence of Liouville's theorem for Hamiltonian systems and appears to contradict the second law of…

Statistical Mechanics · Physics 2017-07-05 Renato Pakter , Yan Levin

We consider the formalism of information decomposition of target effects from multi-source interactions, i.e. the problem of defining redundant and synergistic components of the information that a set of source variables provides about a…

Statistical Mechanics · Physics 2019-04-24 Daniele Marinazzo , Leonardo Angelini , Mario Pellicoro , Sebastiano Stramaglia

For a generic overdamped Langevin dynamics driven out of equilibrium by both time-dependent and nonconservative forces, the entropy production rate can be decomposed into two positive terms, termed excess and housekeeping entropy. However,…

Statistical Mechanics · Physics 2022-09-14 Andreas Dechant , Shin-ichi Sasa , Sosuke Ito

We discuss the relevance of information contained in cross-correlations among different degrees of freedom, which is crucial in non-equilibrium systems. In particular we consider a stochastic system where two degrees of freedom $X_1$ and…

Statistical Mechanics · Physics 2015-06-04 Andrea Crisanti , Andrea Puglisi , Dario Villamaina

We study a class of dynamical systems generated by random substitutions, which contains both intrinsically ergodic systems and instances with several measures of maximal entropy. In this class, we show that the measures of maximal entropy…

Dynamical Systems · Mathematics 2026-03-26 Philipp Gohlke , Andrew Mitchell

The entanglement production in bipartite quantum systems is studied for initially unentangled product eigenstates of the subsystems, which are assumed to be quantum chaotic. Based on a perturbative computation of the Schmidt eigenvalues of…

We consider overdamped physical systems evolving under a feedback-controlled fluctuating potential and in contact with a thermal bath at temperature $T$. A Markovian description of the dynamics, which keeps only the last value of the…

Statistical Mechanics · Physics 2026-02-12 Natalia Ruiz-Pino , Antonio Prados

We extend the principles of information thermodynamics to study energy and information exchanges between coupled systems composed of one part undergoing a Markov jump process and another underdamped diffusion. We derive integral fluctuation…

Statistical Mechanics · Physics 2024-12-05 Ashwin Gopal , Nahuel Freitas , Massimiliano Esposito

In the dynamics of open quantum systems, the backflow of information to the reduced system under study has been suggested as the actual physical mechanism inducing memory and thus leading to non-Markovian quantum dynamics. To this aim, the…

Quantum Physics · Physics 2021-07-21 Nina Megier , Andrea Smirne , Bassano Vacchini

Celebrated fluctuation-dissipation theorem (FDT) linking the response function to time dependent correlations of observables measured in the reference unperturbed state is one of the central results in equilibrium statistical mechanics. In…

Statistical Mechanics · Physics 2025-02-19 Yan V. Fyodorov , Ewa Gudowska-Nowak , Maciej A. Nowak , Wojciech Tarnowski

We prove a lower bound on the relative entropy between two finite-dimensional states in terms of their entropy difference and the dimension of the underlying space. The inequality is tight in the sense that equality can be attained for any…

Quantum Physics · Physics 2015-03-16 David Reeb , Michael M. Wolf

Thermo-Kinetic relations bound thermodynamic quantities such as entropy production with statistics of dynamical observables. We introduce a Thermo-Kinetic Relation to bound the entropy production or the non-adiabatic (Hatano-Sasa, excess)…

Statistical Mechanics · Physics 2022-06-06 Jean-Charles Delvenne , Gianmaria Falasco

We consider thermal relaxation process of a quantum system attached to a single or multiple reservoirs. Quantifying the degree of irreversibility by entropy production, we prove that the irreversibility of the thermal relaxation is…

Statistical Mechanics · Physics 2021-11-08 Tan Van Vu , Yoshihiko Hasegawa

We investigate experimentally the relation between thermodynamical irreversibility and dissipation on a superconducting Xmon qubit. This relation also implies the second law and the Landauer principle on dissipation in the irreversible…

Quantum Physics · Physics 2017-11-08 Xue-Yi Guo , Yi Peng , Changnan Peng , Hui Deng , Yi-Rong Jin , Chengchun Tang , Xiaobo Zhu , Dongning Zheng , Heng Fan

In recent advances in finite-time thermodynamics, optimization of entropy production required for finite-time information processing is an important issue. In this work, we consider finite-time feedback processes in classical discrete…

Statistical Mechanics · Physics 2025-03-18 Rihito Nagase , Takahiro Sagawa
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