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We consider the generic model of a finite-size quantum electron system connected to two (temperature and particle) reservoirs. The quantum open system is driven out of equilibrium by the presence of both a temperature and a chemical…

统计力学 · 物理学 2017-04-04 H. Ness

We derive some nonequilibrium identities such as the integral fluctuation theorem and the Jarzynski equality starting from a nonequilibrium state for dissipative classical systems. Thanks to the existence of the integral fluctuation theorem…

统计力学 · 物理学 2013-09-13 Hisao Hayakawa , Michio Otsuki

We study the stationary state of a one-dimensional kinetic model where a probe particle is driven by an external field E and collides, elastically or inelastically, with a bath of particles at temperature T. We focus on the stationary…

统计力学 · 物理学 2013-05-30 G. Gradenigo , U. Marini Bettolo Marconi , A. Puglisi , A. Sarracino

A living non-Newtonian matter like the cell cortex and tissues are driven out-of-equilibrium at multiple spatial and temporal scales. The stochastic dynamics of a particle embedded in such a medium are non-Markovian, given by a generalized…

生物物理 · 物理学 2020-06-30 Amit Singh Vishen

Constructing a thermodynamic framework for nonequilibrium systems remains a major challenge, as quantities such as temperature and free energy often become ambiguous when inferred solely from steady-state properties. Here we take a…

We study the motion of an overdamped colloidal particle in a time-dependent non-harmonic potential. We demonstrate the first law-like balance between applied work, exchanged heat, and internal energy on the level of a single trajectory. The…

统计力学 · 物理学 2007-05-23 V. Blickle , T. Speck , L. Helden , U. Seifert , C. Bechinger

Crook's Fluctuation Theorem and Jarzynski equality are immensely powerful tools in obtaining equilibrium properties through non-equilibrium transition between two equilibrium states. In this letter, we propose an extension to the Crook's…

统计力学 · 物理学 2017-01-17 Puneet Kumar Patra , Baidurya Bhattacharya

A general formulation of the equilibrium state of a many-electron system in terms of a (mixed-state, ensemble) density matrix operator in the Fock space, based on the maximum entropy principle, is introduced. Various characteristic…

化学物理 · 物理学 2013-10-28 Robert Balawender , Andrzej Holas

Recent years have witnessed major advances in our understanding of nonequilibrium processes. The Jarzynski equality, for example, provides a link between equilibrium free energy differences and finite-time, nonequilibrium dynamics. We…

统计力学 · 物理学 2016-04-27 Dibyendu Mandal , Michael R. DeWeese

We extend the Jarzynski equality, which is an exact identity between the equilibrium and nonequilibrium averages, to be useful to compute the value of the entropy difference by changing the Hamiltonian. To derive our result, we introduce…

统计力学 · 物理学 2011-03-24 Hitoshi Katsuda , Masayuki Ohzeki

We study a Jarzysnki type equality for work in systems that are monitored using non-projective unsharp measurements. The information acquired by the observer from the outcome $f$ of an energy measurement, and the subsequent conditioned…

量子物理 · 物理学 2025-12-22 Daniel Alonso , Antonia Ruiz García

The Jarzynski equality (JE), which connects the equilibrium free energy with non-equilibrium work statistics, plays a crucial role in quantum thermodynamics. Although practical quantum systems are usually multi-level systems, most tests of…

量子物理 · 物理学 2023-10-26 Wenquan Liu , Zhibo Niu , Wei Cheng , Xin Li , Chang-Kui Duan , Zhangqi Yin , Xing Rong , Jiangfeng Du

The Jarzynski equality (JE) is known as an exact identity for nonequillibrium systems. The JE was originally formulated for isolated and isothermal systems, while Adib reported an JE extended to an isoenergetic process. In this paper, we…

统计力学 · 物理学 2015-05-27 Hitoshi Katsuda , Masayuki Ohzeki

The Jarzynski equality (JE) is analyzed in regard to its validity for both quasi-static transformations in the thermodynamic limit and Hamiltonian evolutions of the work protocol. In the first case, we show that the JE holds for isothermal…

统计力学 · 物理学 2020-05-15 Amilcare Porporato , Salvatore Calabrese

This work concerns the theoretical description of the quantum dynamics of molecular junctions with thermal fluctuations and probability losses To this end, we propose a theory for describing non-Hermitian quantum systems embedded in…

量子物理 · 物理学 2021-02-24 Andrea Grimaldi , Alessandro Sergi , Antonino Messina

We use Newtonian and overdamped Langevin dynamics to study long flexible polymers dragged by an external force at a constant velocity $v$. The work $W$ by that force depends on the initial state of the polymer and the details of the…

统计力学 · 物理学 2017-08-30 Raz Halifa Levi , Yacov Kantor

The Jarzynski equality allows the calculation of free-energy differences using values of work measured from nonequilibrium trajectories. The number of trajectories required to accurately estimate free-energy differences in this way grows…

统计力学 · 物理学 2025-05-13 Stephen Whitelam

For open systems described by the quantum Markovian master equation, we study a possible extension of the Clausius equality to quasistatic operations between nonequilibrium steady states (NESSs). We investigate the excess heat divided by…

统计力学 · 物理学 2013-09-10 Tatsuro Yuge , Takahiro Sagawa , Ayumu Sugita , Hisao Hayakawa

We give a field-theoretic proof of the nonequilibrium work relations for a space dependent field with stochastic dynamics. The path integral representation and its symmetries allow us to derive Jarzynski's equality. In addition, we derive a…

统计力学 · 物理学 2008-02-01 Kirone Mallick , Moshe Moshe , Henri Orland

A result of great theoretical and experimental interest, Jarzynski equality predicts a free energy change $\Delta F$ of a system at inverse temperature $\beta$ from an ensemble average of non-equilibrium exponential work, i.e., $\langle…

统计力学 · 物理学 2017-10-18 Juan D. Jaramillo , Jiawen Deng , Jiangbin Gong