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Recently there has been growing interest in extending the thermodynamic method from static configurations to dynamical trajectories. In this approach, ensembles of trajectories are treated in an analogous manner to ensembles of…

统计力学 · 物理学 2016-08-23 Robert M. Turner , Thomas Speck , Juan P. Garrahan

Stochastic Thermodynamics (ST) extends the notions of classical thermodynamics to trajectories taken from a nonequilibrium ensemble. This extension yields a simple approach to fluctuation relations in small systems. Multiple time- and…

统计力学 · 物理学 2012-10-19 Bernhard Altaner

The process of fluctuations of trajectory observables of stochastic systems is related to processes with independent increments from the risk theory. The first-passage times of variables of the thermodynamics of trajectories, in particular,…

统计力学 · 物理学 2025-06-17 V. V. Ryazanov

An analytical method to compute thermodynamic properties of a given Hamiltonian system is proposed. This method combines ideas of both dynamical systems and ensemble approaches to thermodynamics, providing de facto a possible alternative to…

统计力学 · 物理学 2009-10-31 Xavier Leoncini , Alberto D. Verga

The large-deviation method can be used to study the measurement trajectories of open quantum systems. For optical arrangements this formalism allows to describe the long time properties of the (non-equilibrium) photon counting statistics in…

量子物理 · 物理学 2010-12-06 Adrian A. Budini

Thermodynamics of trajectories promises to make possible the thorough analysis of the dynamical properties of an open quantum system, a sought-after goal in modern physics. Unfortunately, calculation of the relevant quantities presents…

量子物理 · 物理学 2016-06-14 Simon Pigeon , André Xuereb

It is well established that gene expression can be modeled as a Markovian stochastic process and hence proper observables might be subjected to large fluctuations and rare events. Since dynamics is often more than statics, one can work with…

生物物理 · 物理学 2019-09-11 Pegah Torkaman , Farhad H. Jafarpour

We have studied the nature of classical work ($W_{c}$) and thermodynamic work ($W$) fluctuations in systems driven out of equilibrium both in transient and time periodic steady state. As the observation time of trajectory increases, we show…

经典物理 · 物理学 2015-05-13 Mamata Sahoo , A. M Jayannavar

Stochastic thermodynamics is a framework for describing non-equilibrium processes at the level of fluctuating trajectories, where the state of a system evolves as a stochastic time series, allowing thermodynamic quantities such as work,…

Many natural systems exhibit dynamics characterized by alternating phases or recurring sets of states. Describing the fluctuations of such systems over stochastic trajectories is necessary across diverse fields, from biological motors to…

统计力学 · 物理学 2025-12-17 Guilherme Fiusa , Pedro E. Harunari , Abhaya S. Hegde , Gabriel T. Landi

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…

统计力学 · 物理学 2015-06-05 Udo Seifert

We apply the large-deviation method to study trajectories in dissipative quantum systems. We show that in the long time limit the statistics of quantum jumps can be understood from thermodynamic arguments by exploiting the analogy between…

统计力学 · 物理学 2010-04-20 Juan P. Garrahan , Igor Lesanovsky

In this work, we have studied simple models that can be solved analytically to illustrate various fluctuation theorems. These fluctuation theorems provide symmetries individually to the distributions of physical quantities like the…

统计力学 · 物理学 2015-05-20 Mamata Sahoo , Sourabh Lahiri , A. M. Jayannavar

The dynamics of a one-dimensional stochastic system of classical particles consisting of asymmetric death and branching processes is studied. The dynamical activity, defined as the number of configuration changes in a dynamical trajectory,…

统计力学 · 物理学 2015-06-22 Pegah Torkaman , Farhad H. Jafarpour

The thermodynamic formalism allows one to access the chaotic properties of equilibrium and out-of-equilibrium systems, by deriving those from a dynamical partition function. The definition that has been given for this partition function…

统计力学 · 物理学 2011-11-29 Vivien Lecomte , Cécile Appert-Rolland , Frédéric van Wijland

Temporal networks model how the interaction between elements in a complex system evolve over time. Just like complex systems display collective dynamics, here we interpret temporal networks as trajectories performing a collective motion in…

社会与信息网络 · 计算机科学 2022-10-18 Lucas Lacasa , Jorge P. Rodriguez , Victor M. Eguiluz

We consider a class of either fermionic or bosonic noninteracting open quantum chains driven by dissipative interactions at the boundaries and study the interplay of coherent transport and dissipative processes, such as bulk dephasing and…

统计力学 · 物理学 2017-11-17 Federico Carollo , Juan P. Garrahan , Igor Lesanovsky , Carlos Pérez-Espigares

We compare the fluctuations in the velocity and in the fraction of time spent at a given position for minimal models of a passive and an active particle: an asymmetric random walker and a run-and-tumble particle in continuous time and on a…

统计力学 · 物理学 2019-10-03 Emil Mallmin , Richard A Blythe , Martin R Evans

Fluctuation theorems (FTs) quantify the thermodynamic reversibility of a system, and for deterministic systems they are defined in terms of the dissipation function. However, in a nonequilibrium steady state of deterministic dynamics, the…

统计力学 · 物理学 2026-03-24 Stephen Sanderson , Charlotte F. Petersen , Debra J. Searles

Motivated by stochastic models of climate phenomena, the steady-state of a linear stochastic model with additive Gaussian white noise is studied. Fluctuation theorems for nonequilibrium steady-states provide a constraint on the character of…

统计力学 · 物理学 2008-01-04 Jeffrey B. Weiss
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