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We review statistical-mechanical theories of single-molecule micromanipulation experiments on nucleic acids. First, models for describing polymer elasticity are introduced. We then review how these models are used to interpret…

Soft Condensed Matter · Physics 2007-05-23 S. Cocco , J. F. Marko , R. Monasson

We analyze a periodic optimal finite-time two-state information-driven machine that extracts work from a single heat bath exploring imperfect measurements. Two models are considered, a memory-less one that ignores past measurements and an…

Statistical Mechanics · Physics 2014-09-26 Michael Bauer , Andre C. Barato , Udo Seifert

We extend the framework of forward and reverse processes commonly utilized in the derivation and analysis of the nonequilibrium work relations to thermodynamic processes with repeated discrete feedback. Within this framework, we derive a…

Statistical Mechanics · Physics 2010-12-16 Jordan M. Horowitz , Suriyanarayanan Vaikuntanathan

Intracellular biochemical networks fluctuate dynamically due to various internal and external sources of fluctuation. Dissecting the fluctuation into biologically relevant components is important for understanding how a cell controls and…

Molecular Networks · Quantitative Biology 2016-02-17 Tetsuya J. Kobayashi , Ryo Yokota , Kazuyuki Aihara

We consider overdamped Brownian particles with two degrees of freedom (DoF) that are confined in a time-varying quadratic potential and are in simultaneous contact with heat baths of different temperatures along the respective DoF. The…

Statistical Mechanics · Physics 2024-06-21 Jordi Ventura Siches , Olga Movilla Miangolarra , Tryphon T. Georgiou

Systems that evolve towards a state from which they cannot depart are common in nature. But the fluctuation-dissipation theorem, a fundamental result in statistical mechanics, is mainly restricted to systems near-stationarity. In processes…

Statistical Mechanics · Physics 2023-10-25 Prajwal Padmanabha , Sandro Azaele , Amos Maritan

A ubiquitous way that cells share information is by exchanging molecules. Yet, the fundamental ways that this information exchange is influenced by intracellular dynamics remain unclear. Here we use information theory to investigate a…

Biological Physics · Physics 2020-07-23 Amir Erez , Tommy A. Byrd , Michael Vennettilli , Andrew Mugler

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 study theoretically the denaturation of single RNA molecules by mechanical stretching, focusing on signatures of the (un)folding pathway in molecular fluctuations. Our model describes the interactions between nucleotides by incorporating…

Soft Condensed Matter · Physics 2009-11-07 Ulrich Gerland , Ralf Bundschuh , Terence Hwa

The work content of non-equilibrium systems in relation to a heat bath is often analyzed in terms of expectation values of an underlying random work variable. However, we show that when optimizing the expectation value of the extracted…

Quantum Physics · Physics 2015-03-19 Johan Aberg

We present quantitative relations between work and information that are valid both for finite sized and internally correlated systems as well in the thermodynamical limit. We suggest work extraction should be viewed as a game where the…

Quantum Physics · Physics 2015-05-13 Oscar C. O. Dahlsten , Renato Renner , Elisabeth Rieper , Vlatko Vedral

We derive and solve a differential equation satisfied by the probability distribution of the work done on a single biomolecule in a mechanical unzipping experiment. The unzipping is described as a thermally activated escape process in an…

Soft Condensed Matter · Physics 2007-05-23 Alberto Imparato , Luca Peliti

One of the most intriguing results of single molecule experiments on proteins and nucleic acids is the discovery of functional heterogeneity: the observation that complex cellular machines exhibit multiple, biologically active…

Biomolecules · Quantitative Biology 2022-10-12 Michael Hinczewski , Changbong Hyeon , D. Thirumalai

In this paper, we study the dynamics of a linear control system with given state feedback control law in the presence of fast periodic sampling at temporal frequency $1/\delta$ ($0 < \delta \ll 1$), together with small white noise…

Probability · Mathematics 2021-10-15 Shivam Dhama , Chetan D. Pahlajani

A simple zipper model is introduced, representing in a simplified way, e.g., the folded DNA double helix or hairpin structures in RNA. The double stranded hairpin is connected to a heat bath at temperature $T$ and subject to an external…

Statistical Mechanics · Physics 2024-01-18 P. Werner , A. K. Hartmann , S. N. Majumdar

The implementation of a combination of continuous weak measurement and classical feedback provides a powerful tool for controlling the evolution of quantum systems. In this work, we investigate the potential of this approach from three…

Quantum Gases · Physics 2021-12-17 Jeremy T. Young , Alexey V. Gorshkov , I. B. Spielman

Fluctuation theorems and the second law of thermodynamics are powerful relations constraining the behavior of out-of-equilibrium systems. While there exist generalizations of these relations to feedback controlled quantum systems, their…

Quantum Physics · Physics 2024-10-07 Kacper Prech , Patrick P. Potts

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

The "generalized fluctuation-dissipation relations", which had anticipated the "fluctuation theorems" fifteen years before, are applied to presently popular "information to useful work conversion" to demonstrate that its success and bounds…

Statistical Mechanics · Physics 2016-11-29 Yu. E. Kuzovlev

Single molecule DNA experiments often generate data from force versus extension measurements involving the tethering of a microsphere to one end of a single DNA molecule while the other is attached to a substrate. We show that the…

Biological Physics · Physics 2015-06-26 Jose Coelho Neto , Ronald Dickman , O. N. Mesquita