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Returning a system to a desired state under a force field involves a thermodynamic cost, i.e., {\it work}. This cost fluctuates for a small-scale system from one experimental realization to another. We introduce a general framework to…

统计力学 · 物理学 2022-12-07 Deepak Gupta , Carlos A. Plata

We derive a Thermodynamic Uncertainty Relation bounding the mean squared displacement of a Gaussian process with memory, driven out of equilibrium by unbalanced thermal baths and/or by external forces. Our bound is tighter with respect to…

统计力学 · 物理学 2023-05-23 Andrea Plati , Andrea Puglisi , Alessandro Sarracino

There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability…

统计力学 · 物理学 2009-09-25 Gavin E. Crooks

Quantifying energy flows at nanometer scales promises to guide future research in a variety of disciplines, from microscopic control and manipulation, to autonomously operating molecular machines. A general understanding of the…

统计力学 · 物理学 2018-11-26 Steven J. Large , Raphaël Chetrite , David A. Sivak

We reassess the concept of transition at minimum work in classical stochastic finite-time thermodynamics, when the system dynamics is modelled by a diffusion process. We show that a well-posed formulation of the optimal control problem…

统计力学 · 物理学 2026-03-13 Paolo Muratore-Ginanneschi , Julia Sanders

At non-zero temperature classical systems exhibit statistical fluctuations of thermodynamic quantities arising from the variation of the system's initial conditions and its interaction with the environment. The fluctuating work, for…

量子物理 · 物理学 2018-02-07 Rui Sampaio , Samu Suomela , Tapio Ala-Nissila , Janet Anders , Thomas Philbin

At present, the problem to steer a non-Markovian process with minimum energy between specified end-point marginal distributions remains unsolved. Herein, we consider the special case for a non-Markovian process y(t) which, however, assumes…

最优化与控制 · 数学 2019-03-05 Daniele Alpago , Yongxin Chen , Tryphon Georgiou , Michele Pavon

We study the statistics of work, dissipation, and entropy production of a quantum quasi-isothermal process, where the system remains close to the thermal equilibrium along the transformation. We derive a general analytic expression for the…

量子物理 · 物理学 2020-07-01 Matteo Scandi , Harry J. D. Miller , Janet Anders , Marti Perarnau-Llobet

We consider an isothermal machine composed of two Brownian particles (say particle A and B) connected by a harmonic spring. A constant load is attached to particle A, and the particle B is trapped in a harmonic confinement whose minimum is…

统计力学 · 物理学 2018-08-01 Deepak Gupta

We search for steady states in a class of fluctuating and driven physical systems that exhibit sustained currents. We find that the physical concept of a steady state, well known for systems at equilibrium, must be generalised to describe…

软凝聚态物质 · 物理学 2020-04-15 Tanniemola B. Liverpool

Statistical properties of Brownian motion that arise by analyzing, separately, trajectories over which the system energy increases (upside) or decreases (downside) with respect to a threshold energy level, are derived. This selective…

统计力学 · 物理学 2019-08-02 Galen T. Craven , Abraham Nitzan

Spontaneous symmetry breaking occurs in various equilibrium and nonequilibrium systems, where phase transitions are typically marked by a single critical point that separates ordered and disordered regimes. We reveal a novel phenomenon in…

The concept of work is basic for statistical thermodynamics. To gain a fuller understanding of work and its (quantum) features, it needs to be represented as an average of a fluctuating quantity. Here I focus on the work done between two…

统计力学 · 物理学 2015-06-19 A. E. Allahverdyan

Close to equilibrium, the exchange of particles and heat between macroscopic systems at different temperatures and different chemical potentials is known to be governed by a matrix of transport coefficients which is positive and symmetric.…

统计力学 · 物理学 2017-10-11 Euijin Jeon , Peter Talkner , Juyeon Yi , Yong Woon Kim

Ensemble systems appear frequently in many engineering applications and, as a result, they have become an important research topic in control theory. These systems are best characterized by the evolution of their underlying state…

最优化与控制 · 数学 2026-01-21 Guangyu Wu , Panagiotis Tsiotras , Anders Lindquist

In this paper, we consider queueing systems where the dynamics are non-stationary and state-dependent. For performance analysis of these systems, fluid and diffusion models have been typically used. Although they are proven to be…

概率论 · 数学 2016-09-08 Young Myoung Ko , Natarajan Gautam

Active matter generates order or patterns through nonequilibrium dynamics. An open research challenge is to determine how efficiently a nonequilibrium self-organising system can convert consumed energy into macroscopic order. We study an…

适应与自组织系统 · 物理学 2026-05-07 Qianyang Chen , Mikhail Prokopenko

For a colloidal particle driven by a constant force across a periodic potential, we investigate the distribution of entropy production both experimentally and theoretically. For short trajectories, the fluctuation theorem holds…

统计力学 · 物理学 2009-11-13 T. Speck , V. Blickle , C. Bechinger , U. Seifert

Given a thermodynamic process which carries a system from one equilibrium state to another, we construct a quantity whose average, over an ensemble of microscopic realizations of the process, depends only on these end states, even if at…

统计力学 · 物理学 2015-06-25 C. Jarzynski

A driven stochastic system in a constant temperature heat bath relaxes into a steady state which is characterized by the steady state probability distribution. We investigate the relationship between the driving force and the steady state…

统计力学 · 物理学 2015-03-11 Jae Dong Noh , Joongul Lee