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We analyze the distribution of heat generated in driven single-electron transitions and discuss the related non-equilibrium work theorems. In the adiabatic limit, the heat distribution is shown to become Gaussian, with the heat noise that,…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Dmitri V. Averin , Jukka P. Pekola

We studied the unzipping kinetics of single molecules of double-stranded DNA by pulling one of their two strands through a narrow protein pore. PCR analysis yielded the first direct proof of DNA unzipping in such a system. The time to unzip…

Soft Condensed Matter · Physics 2009-11-07 Alexis F. Sauer-Budge , Jacqueline A. Nyamwanda , David K. Lubensky , Daniel Branton

We review and discuss the equations governing the distribution of work done on a system which is driven out of equilibrium by external manipulation, as well as those governing the entropy flow to a reservoir in a nonequilibrium system. We…

Statistical Mechanics · Physics 2007-08-07 A. Imparato , L. Peliti

We propose and analyze a process that extracts useful work from a single active particle maintained at constant temperature in a harmonic potential by measuring the relative sign of the self-propulsion and the confining force and then…

Statistical Mechanics · Physics 2026-03-09 Grzegorz Szamel

We analyze the equations governing the evolution of distributions of the work and the heat exchanged with the environment by a manipulated stochastic system, by means of a compact and general derivation. We obtain explicit solutions for…

Statistical Mechanics · Physics 2007-11-13 A. Imparato , L. Peliti , G. Pesce , G. Rusciano , A. Sasso

Single molecule force spectroscopy provide details of the underlying energy surfaces of proteins which are essential to the understanding of their unfolding process. Recently, it has been observed experimentally that by pulling proteins in…

Statistical Mechanics · Physics 2009-11-13 R. Rajesh , D. Giri , I. Jensen , S. Kumar

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 compute the distribution of the work done in stretching a Gaussian polymer, made of N monomers, at a finite rate. For a one-dimensional polymer undergoing Rouse dynamics, the work distribution is a Gaussian and we explicitly compute the…

Statistical Mechanics · Physics 2009-11-10 Abhishek Dhar

The connection between work and changes in the Hamiltonian for a system with a time-dependent Hamiltonian has recently been called into question, casting doubt on the usefulness of the Jarzynski equality for calculating free energy changes.…

Statistical Mechanics · Physics 2015-05-13 Eric N. Zimanyi , Robert J. Silbey

We study by using Monte Carlo simulations the hysteresis in unzipping and rezipping of a double stranded DNA (dsDNA) by pulling its strands in opposite directions in the fixed force ensemble. The force is increased, at a constant rate from…

Soft Condensed Matter · Physics 2012-10-11 Rajeev Kapri

Measurement and feedback allows an external agent to extract work from a system in contact with a single thermal bath. The maximum amount of work that can be extracted in a single measurement and the corresponding feedback loop is given by…

Statistical Mechanics · Physics 2024-01-19 L. Dinis , J. M. R. Parrondo

We introduce a straightforward, single-ensemble, path sampling approach to calculate free energy differences based on Jarzynski's relation. For a two-dimensional ``toy'' test system, the new (minimally optimized) method performs roughly one…

Computational Physics · Physics 2009-11-10 F. Marty Ytreberg , Daniel M. Zuckerman

The Jarzynski equality is one of the most influential results in the field of non equilibrium statistical mechanics. This celebrated equality allows to calculate equilibrium free energy differences from work distributions of nonequilibrium…

Statistical Mechanics · Physics 2017-09-13 Shahaf Asban , Saar Rahav

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

We consider the unbinding of a directed polymer in a random media from a wall in $d=1+1$ dimensions and a simple one-dimensional model for DNA unzipping. Using the replica trick we show that the restricted partition functions of these…

Statistical Mechanics · Physics 2007-05-23 Yariv Kafri , Anatoli Polkovnikov

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…

Statistical Mechanics · Physics 2017-08-30 Raz Halifa Levi , Yacov Kantor

We derive a distribution function for the position of a tagged active particle in a slowly varying in space external potential, in a system of interacting active particles. The tagged particle distribution has the form of the Boltzmann…

Soft Condensed Matter · Physics 2024-06-19 Alireza Shakerpoor , Elijah Flenner , Grzegorz Szamel

Nonequilibrium processes of small systems such as molecular machines are ubiquitous in biology, chemistry and physics, but are often challenging to comprehend. In the past two decades, several exact thermodynamic relations of nonequilibrium…

Statistical Mechanics · Physics 2018-02-26 Thai M. Hoang , Rui Pan , Jonghoon Ahn , Jaehoon Bang , H. T. Quan , Tongcang Li

We derive the distribution function of work performed by a harmonic force acting on a uniformly dragged Brownian particle subjected to a rotational torque. Following the Onsager and Machlup's functional integral approach, we obtain the…

Statistical Mechanics · Physics 2016-01-29 Bappa Saha , Sutapa Mukherji

Based only on classical Hamiltonian dynamics, we prove the maximum work principle in a system where macroscopic dynamical degrees of freedom are intrinsically coupled to microscopic degrees of freedom. Unlike recent identities between…

Statistical Mechanics · Physics 2015-05-26 Christian Maes , Hal Tasaki
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