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Biomolecular machines are protein complexes that convert between different forms of free energy. They are utilized in nature to accomplish many cellular tasks. As isothermal nonequilibrium stochastic objects at low Reynolds number, they…

统计力学 · 物理学 2020-01-22 Aidan I Brown , David A Sivak

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

统计力学 · 物理学 2015-06-05 Udo Seifert

We distinguish a mechanical representation of the world in terms of point masses with positions and momenta and the chemical representation of the world in terms of populations of different individuals, each with intrinsic stochasticity,…

统计力学 · 物理学 2019-05-07 Hong Qian

Stochastic thermodynamics is a framework for describing non-equilibrium processes at the level of fluctuating trajectories, where the state of a system evolves as a stochastic time series, allowing thermodynamic quantities such as work,…

Lack of knowledge about the detailed many-particle motion on the microscopic scale is a key issue in any theoretical description of a macroscopic experiment. For systems at or close to thermal equilibrium, statistical mechanics provides a…

统计力学 · 物理学 2016-03-03 Peter Reimann

Far-from-equilibrium phenomena are critical to all natural and engineered systems, and essential to biological processes responsible for life. For over a century and a half, since Carnot, Clausius, Maxwell, Boltzmann, and Gibbs, among many…

统计力学 · 物理学 2023-09-14 Travis Leadbetter , Prashant K. Purohit , Celia Reina

A system responding to a stochastic driving signal can be interpreted as computing, by means of its dynamics, an implicit model of the environmental variables. The system's state retains information about past environmental fluctuations,…

统计力学 · 物理学 2012-10-09 Susanne Still , David A. Sivak , Anthony J. Bell , Gavin E. Crooks

In these lecture notes, the basic principles of stochastic thermodynamics are developed starting with a closed system in contact with a heat bath. A trajectory undergoes Markovian transitions between observable meso-states that correspond…

统计力学 · 物理学 2018-06-13 Udo Seifert

In analogy to Brownian computers we explicitly show how to construct stochastic models, which mimic the behaviour of a general purpose computer (a Turing machine). Our models are discrete state systems obeying a Markovian master equation,…

统计力学 · 物理学 2015-10-13 Philipp Strasberg , Javier Cerrillo , Gernot Schaller , Tobias Brandes

Equilibrium statistical mechanics is intended to link the microscopic dynamics of particles to the thermodynamic laws for macroscopic quantities. However, the modern statistical theory is faced with significant difficulties, as applied to…

统计力学 · 物理学 2016-03-15 A. G. Godizov , A. A. Godizov

Stochastic fluctuations of molecule numbers are ubiquitous in biological systems. Important examples include gene expression and enzymatic processes in living cells. Such systems are typically modelled as chemical reaction networks whose…

定量方法 · 定量生物学 2017-01-13 David Schnoerr , Guido Sanguinetti , Ramon Grima

Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts of heat, work and entropy production for individual stochastic trajectories of mesoscopic systems. Remarkably, this approach, relying on stochastic…

We consider the general problem of determining the steady state of stochastic nonequilibrium systems such as those that have been used to model (among other things) biological transport and traffic flow. We begin with a broad overview of…

统计力学 · 物理学 2009-11-13 R. A. Blythe , M. R. Evans

Unlike macroscopic engines, the molecular machinery of living cells is strongly affected by fluctuations. Stochastic Thermodynamics uses Markovian jump processes to model the random transitions between the chemical and configurational…

统计力学 · 物理学 2015-10-19 Bernhard Altaner , Artur Wachtel , Jürgen Vollmer

Stochastic thermodynamics provides a framework for describing small systems like colloids or biomolecules driven out of equilibrium but still in contact with a heat bath. Both, a first-law like energy balance involving exchanged heat and…

统计力学 · 物理学 2012-05-21 Udo Seifert

Nonequilibrium steady state of isothermal biochemical cycle kinetics has been extensively studied, but much less investigated under non-isothermal conditions. However, once the heat exchange between subsystems is rather slow, the isothermal…

化学物理 · 物理学 2016-10-11 Xiao Jin , Hao Ge

A fundamental challenge is to understand nonequilibrium statistical mechanics starting from microscopic chaos in the equations of motion of a many-particle system. In this review we summarize recent theoretical advances along these lines.…

混沌动力学 · 物理学 2010-01-04 R. Klages

We develop the stochastic approach to thermodynamics based on the stochastic dynamics, which can be discrete (master equation) continuous (Fokker-Planck equation), and on two assumptions concerning entropy. The first is the definition of…

统计力学 · 物理学 2015-06-11 Tânia Tomé , Mário J. de Oliveira

With recent advances in structural biology, including experimental techniques and deep learning-enabled high-precision structure predictions, molecular dynamics methods that scale up to large biomolecular systems are required. Current…

生物物理 · 物理学 2022-06-24 Tim Hempel , Simon Olsson , Frank Noé

This is our current research perspective on models providing insight into statistical mechanics. It is necessarily personal, emphasizing our own interest in simulation as it developed from the National Laboratories' work to the worldwide…

统计力学 · 物理学 2020-12-30 William Graham Hoover , Carol Griswold Hoover
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