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The resource-theoretic approach to quantum thermodynamics assumes complete knowledge of the thermal equilibrium against which thermodynamic resources are defined. In practice, however, this state is determined by the system Hamiltonian and…

Quantum Physics · Physics 2026-04-16 Munan Zhang , Kun Fang

The work performed on a system in a microcanonical state by changes in a control parameter is characterized in terms of its statistics. The transition probabilities between eigenstates of the system Hamiltonians at the beginning and the end…

Statistical Mechanics · Physics 2014-01-21 Peter Talkner , Manuel Morillo , Juyeon Yi , Peter Hanggi

The asymptotic behaviour of the work probability distribution in driven non-equilibrium systems is determined using the method of optimal fluctuations. For systems described by Langevin dynamics the corresponding Euler-Lagrange equation…

Statistical Mechanics · Physics 2013-05-29 A. Engel

Long-ranged correlations generically exist in non-equilibrium fluid systems. In the case of a non-equilibrium steady state caused by a temperature gradient the correlations are especially long-ranged and strong. The anomalous light…

Statistical Mechanics · Physics 2016-11-23 T. R. Kirkpatrick , J. R. Dorfman , J. V. Sengers

We obtain the exact nonequilibrium work generating function (NEWGF), for a small system consisting of a massive Brownian particle connected to internal and external springs. The external work is provided to the system for a finite time…

Statistical Mechanics · Physics 2011-07-01 W. A. M. Morgado , D. O. Soares-Pinto

We study two non-equilibrium work fluctuation theorems, the Crooks' theorem and the Jarzynski equality, for a test system coupled to a spatially extended heat reservoir whose degrees of freedom are explicitly modeled. The sufficient…

Statistical Mechanics · Physics 2010-02-22 Punyabrata Pradhan , Yariv Kafri , Dov Levine

Thermodynamic tradeoff relations quantify the fundamental concept of ``no free lunch'' in the physical world, suggesting that faster and more precise physical processes come at a higher thermodynamic cost. The key elements in these tradeoff…

Statistical Mechanics · Physics 2024-12-11 Yoshihiko Hasegawa , Tomohiro Nishiyama

Non-equilibrium states of a thermodynamic statistical system are investigated using the thermodynamic parameter of the system lifetime, first-passage time, the time before degeneration of the system under influence of fluctuations.…

Statistical Mechanics · Physics 2020-03-19 V. V. Ryazanov

Detailed fluctuation theorem, a microscopic version of the steady state fluctuation theorem, has been proposed by Jarzynski and demonstrated in the case of Hamiltonian systems weakly coupled with reservoirs. We show that an identical…

Statistical Mechanics · Physics 2010-07-20 K. Gururaj , G. Raghavan , M. C. Valsakumar

A key concept in quantum thermodynamics is extractable work, which specifies the maximum amount of work that can be extracted from a quantum system. Different quantities are used to measure extractable work, the most prevalent of which are…

Quantum Physics · Physics 2024-01-17 Amin Mohammadi , Afshin Shafiee

In self-gravitating stars, two dimensional or geophysical flows and in plasmas, long range interactions imply a lack of additivity for the energy; as a consequence, the usual thermodynamic limit is not appropriate. However, by contrast with…

Statistical Mechanics · Physics 2009-11-13 Freddy Bouchet , Julien Barré , Antoine Venaille

We establish a connection between non-Markovian memory effects and thermodynamical quantities such as work. We show how memory effects can be interpreted as revivals of work that can be extracted from a quantum system. We prove that…

Quantum Physics · Physics 2017-01-24 Bogna Bylicka , Mikko Tukiainen , Jyrki Piilo , Dariusz Chruscinski , Sabrina Maniscalco

The applications of nonequilbrium relations such as the Jarzynski equality and the fluctuation theorem to spin glasses are considered. The spin glass is a basic platform where we consider an application of an approximate solver of…

Disordered Systems and Neural Networks · Physics 2015-05-18 Masayuki Ohzeki , Hidetoshi Nishimori

Using the Feynman-Kac formula, a work fluctuation theorem for a Brownian particle in a nonconfining potential, e.g., a potential well with finite depth, is derived. The theorem yields aninequality that puts a lower bound on the average work…

Statistical Mechanics · Physics 2021-02-12 Christoph Streißnig , Holger Kantz

Information is instrumental in our understanding of thermodynamics. Their interplay has been studied through completely degenerate Hamiltonians whereby the informational contributions to thermodynamic transformations can be isolated. In…

Quantum Physics · Physics 2024-04-10 Benjamin Stratton , Chung-Yun Hsieh , Paul Skrzypczyk

A general definition of the model-space effective interaction is given. The energy-independent effective hamiltonians derived in a time-independent way are classified systematically.

Nuclear Theory · Physics 2009-11-11 R. Okamoto , S. Fujii , K. Suzuki

We establish a new non-equilibrium scaling regime in the short time evolution of one-dimensional interacting open quantum systems subject to a generic heating mechanism. This dynamical regime is characterized by uncompensated phonon…

Quantum Gases · Physics 2018-09-13 Michael Buchhold , Sebastian Diehl

The free-energy difference $\Delta F$ between two high-dimensional systems is notoriously difficult to compute, but very important for many applications, such as drug discovery. We demonstrate that an unconventional definition of work…

Soft Condensed Matter · Physics 2024-10-24 Adrianne Zhong , Benjamin Kuznets-Speck , Michael R. DeWeese

Master equation could be applied to model various kinds of biochemical systems. A general theory for its time-dependent nonequilibrium thermodynamics is rigorously derived. We not only introduce a concept of general internal energy, but…

Statistical Mechanics · Physics 2009-04-16 Hao Ge

We give a pedagogical introduction to a selection of recently discussed topics in nonequilibrium statistical mechanics, concentrating mostly on formal structures and on general principles. Part I contains an overview of the formalism of…

Mathematical Physics · Physics 2009-11-05 C. Maes , K. Netocny , B. Shergelashvili
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