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By periodically returning a search process to a known or random state, random resetting possesses the potential to unveil new trajectories, sidestep potential obstacles, and consequently enhance the efficiency of locating desired targets.…

Statistical Mechanics · Physics 2024-12-31 Arnab Pal , Viktor Stojkoski , Trifce Sandev

Stochastic processes offer a fundamentally different paradigm of dynamics than deterministic processes, the most prominent example of the latter being Newton's laws of motion. Here, we discuss in a pedagogical manner a simple and…

Statistical Mechanics · Physics 2022-04-15 Shamik Gupta , Arun M. Jayannavar

We study the statistics of the efficiency in a class of isothermal cyclic machines with realistic coupling between the internal degrees of freedom. We derive, under fairly general assumptions, the probability distribution function for the…

Statistical Mechanics · Physics 2019-01-30 Marc Suñe , Alberto Imparato

We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the…

Statistical Mechanics · Physics 2015-05-12 Gregory Bulnes Cuetara , Andreas Engel , Massimiliano Esposito

Two-state models provide phenomenological descriptions of many different systems, ranging from physics to chemistry and biology. We investigate work fluctuations in an ensemble of two-state systems driven out of equilibrium under the action…

Statistical Mechanics · Physics 2009-11-10 F. Ritort

Performance modeling is a key issue in queuing theory and operation research. It is well-known that the length of a queue that awaits service or the time spent by a job in a queue depends not only on the service rate, but also crucially on…

Statistical Mechanics · Physics 2024-04-16 Reshmi Roy , Arup Biswas , Arnab Pal

We derive the fluctuation theorem for quantum-state statistics that can be obtained when we initially measure the total energy of a quantum system at thermal equilibrium, let the system evolve unitarily, and record the quantum-state data…

Statistical Mechanics · Physics 2018-08-01 Naoto Tsuji , Masahito Ueda

When two isolated system are brought in contact, they relax to equilibrium via energy exchange. In another setting, when one of the systems is driven and the other is large, the first system reaches a steady-state which is not described by…

Statistical Mechanics · Physics 2015-09-10 Guy Bunin , Yariv Kafri

Two approaches to small-scale and quantum thermodynamics are fluctuation relations and one-shot statistical mechanics. Fluctuation relations (such as Crooks' Theorem and Jarzynski's Equality) relate nonequilibrium behaviors to equilibrium…

Statistical Mechanics · Physics 2015-09-16 Nicole Yunger Halpern , Andrew J. P. Garner , Oscar C. O. Dahlsten , Vlatko Vedral

Inertial effects in fluctuations of the work to sustain a system in a nonequilibrium steady state are discussed for a dragged massive Brownian particle model using a path integral approach. We calculate the work distribution function in the…

Statistical Mechanics · Physics 2007-12-12 Tooru Taniguchi , E. G. D. Cohen

Reducing work fluctuation and dissipation in heat engines or, more generally, information heat engines that perform feedback control is vital to maximize their efficiency. The same problem arises when we attempt to maximize the efficiency…

Statistical Mechanics · Physics 2016-01-06 Ken Funo , Masahito Ueda

We consider work fluctuation relations (FRs) for generic types of dynamics generating anomalous diffusion: Levy flights, long-correlated Gaussian processes and time-fractional kinetics. By combining Langevin and kinetic approaches we…

Statistical Mechanics · Physics 2009-03-24 A. V. Chechkin , R. Klages

There has been an increasing interest in the quantification of nearly deterministic work extraction from a finite number of copies of microscopic particles in finite time. This paradigm, so called single-shot epsilon-deterministic work…

Quantum Physics · Physics 2017-11-22 Sina Salek , Karoline Wiesner

In this perspective we consider how modern statistical mechanics and response theory can be applied to understand the response of polar molecules to an applied electric field and the fluctuations in these systems. Results that are…

Statistical Mechanics · Physics 2024-01-08 Debra J. Searles , Stephen Sanderson

We consider the dynamical evolution of a Brownian particle undergoing stochastic resetting, meaning that after random periods of time it is forced to return to the starting position. The intervals after which the random motion is stopped…

Statistical Mechanics · Physics 2022-07-19 Mattia Radice

A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features…

Statistical Mechanics · Physics 2022-06-29 Henry Alston , Luca Cocconi , Thibault Bertrand

The fluctuation-dissipation theorem is a fundamental result in statistical physics that establishes a connection between the response of a system subject to a perturbation and the fluctuations associated with observables in equilibrium.…

Quantum Physics · Physics 2022-08-03 Tanmoy Biswas , A. de Oliveira Junior , Michał Horodecki , Kamil Korzekwa

Traditionally, it is understood that fluctuations in the equilibrium distribution are not evident in thermodynamic systems of large $N$ (the number of particles in the system) \cite{Huang1}. In this paper we examine the validity of this…

Mathematical Physics · Physics 2007-10-03 Kieran Kelly , Przemysław Repetowicz , Seosamh macRéamoinn

Systems that are driven out of thermal equilibrium typically dissipate random quantities of energy on microscopic scales. Crooks fluctuation theorem relates the distribution of these random work costs with the corresponding distribution for…

Quantum Physics · Physics 2018-02-13 Johan Aberg

We investigate the probability distribution of the quantum fluctuations of thermodynamic functions of finite, ballistic, phase-coherent Fermi gases. Depending on the chaotic or integrable nature of the underlying classical dynamics, on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Leboeuf , A. G. Monastra