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Related papers: Nonequilbrium work by charge control in a Josephso…

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We present a non-equilibrium quasiclassical formalism suitable for studying linear response ac properties of Josephson junctions. The non-equilibrium self-consistency equations are satisfied, to very good accuracy, already in zeroth…

Superconductivity · Physics 2009-11-07 M. H. S. Amin

Molecular conduction operating in dielectric solvent environments are often described using kinetic rates based on Marcus theory of electron transfer at a molecule-metal electrode interface. However, the successive nature of charge transfer…

Chemical Physics · Physics 2020-02-18 Henning Kirchberg , Michael Thorwart , Abraham Nitzan

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

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…

Statistical Mechanics · Physics 2017-01-17 Puneet Kumar Patra , Baidurya Bhattacharya

Brownian dynamics simulations are used to study the detachment of a particle from a substrate. Although the model is simple and generic, we attempt to map its energy, length and time scales onto a specific experimental system, namely a bead…

Soft Condensed Matter · Physics 2021-01-08 Emma Hodges , B. M. Cooke , E. M. Sevick , Debra J. Searles , B. Duenweg , J. Ravi Prakash

We have experimentally checked the Jarzynski equality and the Crooks relation on the thermal fluctuations of a macroscopic mechanical oscillator in contact with a heat reservoir. We found that, independently of the time scale and amplitude…

Statistical Mechanics · Physics 2009-11-11 F. Douarche , S. Ciliberto , A. Petrosyan , I. Rabbiosi

We study nonequilibrium charge transport in a double-barrier Josephson junction, including nonstationary phenomena, using the time-dependent quasiclassical Keldysh Green's function formalism. We supplement the kinetic equations by…

Superconductivity · Physics 2009-11-10 A. Brinkman , A. A. Golubov , H. Rogalla , F. K. Wilhelm , M. Yu. Kupriyanov

We explore fluctuation relations in a periodically driven micromechanical torsional oscillator. In the linear regime where the modulation is weak, we verify that the ratio of the work variance to the mean work is constant, consistent with…

Statistical Mechanics · Physics 2019-09-04 P. Zhou , X. Dong , C. Stambaugh , H. B. Chan

We obtain the Crooks and the Jarzynski non-equilibrium fluctuation relations using a direct quantum-mechanical approach for a finite system that is either isolated or coupled not too strongly to a heat bath. These results were hitherto…

Statistical Mechanics · Physics 2012-07-11 Doron Cohen , Yoseph Imry

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

Non-equilibrium quantum thermodynamics is essential to describe new devices that operate far from the regime where the usual thermodynamical laws are obeyed. When quantum fluctuations dominate, defining and measuring work and heat, two…

The well-known Jarzynski equality, often written in the form $e^{-\beta\Delta F}=\langle e^{-\beta W}\rangle$, provides a non-equilibrium means to measure the free energy difference $\Delta F$ of a system at the same inverse temperature…

Statistical Mechanics · Physics 2017-08-22 Jiawen Deng , Juan D. Jaramillo , Peter Hanggi , Jiangbin Gong

We define common thermodynamic concepts purely within the framework of general Markov chains and derive Jarzynski's equality and Crooks' fluctuation theorem in this setup. In particular, we regard the discrete time case that leads to an…

Statistical Mechanics · Physics 2022-12-14 Pedro Hack , Sebastian Gottwald , Daniel A. Braun

We reconsider a well-known relationship between the fluctuation theorem and the second law of thermodynamics by evaluating a probability measure-valued process. In order to establish a bridge between microscopic and macroscopic behaviors,…

Statistical Mechanics · Physics 2015-03-19 Yuki Sughiyama , Masayuki Ohzeki

We have calculated the distribution of work $W$ done on a 1-d harmonic oscillator that is initially in canonical equilibrium at temperature $T$, then thermally isolated and driven by an arbitrary time-dependent cyclic spring constant…

Statistical Mechanics · Physics 2015-06-11 Ian J. Ford , David S. Minor , Simon J. Binnie

We study the work fluctuations of a particle, confined to a moving harmonic potential, under the influence of friction and external Poissonian shot noise. The asymmetry of the noise induces an effective nonlinearity in the potential, which…

Statistical Mechanics · Physics 2009-11-13 A. Baule , E. G. D. Cohen

The description of nonequilibrium processes in nano-sized objects, where the typical energies involved are a few times, is increasingly becoming central to disciplines as diverse as condensed-matter physics, materials science, and…

Statistical Mechanics · Physics 2009-11-11 D. Collin , F. Ritort , C. Jarzynski , S. B. Smith , I. Tinoco , C. Bustamante

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

Jarzynski's equality [1] allows us to investigate free energy landscapes (FELs) by constructing distributions of work performed on a system from an initial ensemble of states to final states. This work is experimentally measured by…

Biological Physics · Physics 2011-05-24 Van Ngo

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
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