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We consider a generic class of stochastic particle-based models whose state at an instant in time is described by a set of continuous degrees of freedom (e.g. positions), and the length of this set changes stochastically in time due to…

Statistical Mechanics · Physics 2025-09-03 Samuel Cameron , Elsen Tjhung

We investigate the trajectory-level dynamics of a double quantum dot system using the newly developed formalism of stochastic excursions. This approach extends full counting statistics by enabling a filtering of complex trajectories into…

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

Statistical Mechanics · Physics 2015-06-05 Udo Seifert

Recent experiments have probed quantum dots through transport measurements in the regime where they are described by a two lead Anderson model. In this paper we develop a new method to analytically compute for the first time the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Robert Konik , Hubert Saleur , Andreas Ludwig

It is well known that entropy production is a proxy to the detection of non-equilibrium, i.e. of the absence of detailed balance; however, due to the global character of this quantity, its knowledge does not allow to identify spatial…

Statistical Mechanics · Physics 2021-09-01 Camilla Sarra , Marco Baldovin , Angelo Vulpiani

In this work, we investigate the relation between the concept of ``information rate'', an information geometric method for measuring the speed of the time evolution of the statistical states of a stochastic process, and stochastic…

Statistical Mechanics · Physics 2023-03-29 Adrian-Josue Guel-Cortez , Eun-jin Kim

We propose a generalization of stochastic thermodynamics to systems of active particles, which move under the combined influence of stochastic internal self-propulsions (activity) and a heat bath. The main idea is to consider joint…

Soft Condensed Matter · Physics 2019-11-20 Grzegorz Szamel

We introduce a model for charge and heat transport based on the Landauer-Buttiker scattering approach. The system consists of a chain of $N$ quantum dots, each of them being coupled to a particle reservoir. Additionally, the left and right…

Mesoscale and Nanoscale Physics · Physics 2009-03-19 Philippe A. Jacquet

Based on trajectory dependent path probability formalism in state space, we derive generalized entropy production fluctuation relations for a quantum system in the presence of measurement and feedback. We have obtained these results for…

Statistical Mechanics · Physics 2015-06-04 Shubhashis Rana , Sourabh Lahiri , A. M. Jayannavar

The chaotic scattering theory is here extended to obtain escape-rate expressions for the transport coefficients appropriate for a simple classical fluid, or for a chemically reacting system. This theory allows various transport coefficients…

chao-dyn · Physics 2009-10-22 J. R. Dorfman , P. Gaspard

Fluctuation theorems are one of the pillars of non-equilibrium thermodynamics. Broadly speaking, they concern the statistical distribution of quantities such as heat, work or entropy production. Quantum experiments, however, usually can…

We study stochastic thermodynamics of over-damped Brownian motion in a flowing fluid. Unlike some previous works, we treat the effects of the flow field as a non-conservational driving force acting on the Brownian particle. This allows us…

Statistical Mechanics · Physics 2024-04-23 Jun Wu , Mingnan Ding , Xiangjun Xing

We investigate the decomposition of the total entropy production in continuous stochastic dynamics when there are odd-parity variables that change their signs under time reversal. The first component of the entropy production, which…

Statistical Mechanics · Physics 2020-01-08 Joonhyun Yeo , Chulan Kwon , Hyun Keun Lee , Hyunggyu Park

We investigate the entanglement and the R\'enyi entropies of two electronic leads connected by a quantum point contact. For non-interacting electrons, the entropies can be related to the cumulants of the full counting statistics of…

Mesoscale and Nanoscale Physics · Physics 2015-03-12 Konrad H. Thomas , Christian Flindt

We study nonequilibrium thermodynamic properties of a driven one-dimensional quantum fluid by combining nonlinear Luttinger liquid theory with the quantum kinetic equation. In particular, we derive an entropy production consistent with the…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 Edvin G. Idrisov , Thomas L. Schmidt

We compute the entropy production engendered in the environment from a single Brownian particle which moves in a mean flow, and show that it corresponds in expectation to classical near-equilibrium entropy production in the surrounding…

Statistical Mechanics · Physics 2014-05-06 Yueheng Lan , Erik Aurell

The emerging field of stochastic thermodynamics extends classical ideas of entropy, heat and work to non-equilibrium systems. One notable finding is that the second law of thermodynamics typically only holds after taking appropriate…

Statistical Mechanics · Physics 2024-02-27 Paul C Bressloff

Transfer entropy is capable of capturing nonlinear source-destination relations between multi-variate time series. It is a measure of association between source data that are transformed into destination data via a set of linear…

Information Theory · Computer Science 2019-05-28 David Sigtermans

This work analyzes different notions of entropy and its production in $ep$ and heavy-ion collisions, focusing on the early stages of the collision. To this end, the importance of phenomena such as quantum entanglement and decoherence in…

High Energy Physics - Phenomenology · Physics 2025-02-04 G. S. Ramos

We consider a situation where an $N$-level system (NLS) is coupled successively to two heat baths with different temperatures without being necessarily thermalized and approaches a steady state. For this situation we apply a general…

Statistical Mechanics · Physics 2021-08-09 Heinz-Jürgen Schmidt , Jochen Gemmer
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