Onsager-Machlup theory and work fluctuation theorem for a harmonically driven Brownian particle

DOI10.1007/s10955-008-9503-5zbMath1144.82056arXiv0708.2345OpenAlexW2125212068MaRDI QIDQ927202

Navinder Singh

Publication date: 4 June 2008

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2345

zbMATH Keywords

fluctuation phenomenastochastic analysis methodsnonequilibrium and irreversible thermodynamics

Mathematics Subject Classification ID

Brownian motion (60J65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (6)

The heat distribution of the underdamped Langevin equation ⋮ Dynamical fluctuations for periodically driven diffusions ⋮ Work and heat distributions for a Brownian particle subjected to an oscillatory drive ⋮ Level 2.5 large deviations for continuous-time Markov chains with time periodic rates ⋮ The Onsager–Machlup function as Lagrangian for the most probable path of a jump-diffusion process ⋮ Fluctuation theorems for entropy production and heat dissipation in periodically driven Markov chains

Cites Work

• Unnamed Item
• Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems
• The Fokker-Planck equation. Methods of solution and applications.
• SRB states and nonequilibrium statistical mechanics close to equilibrium
• The fluctuation theorem as a Gibbs property
• A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics
• Dynamical ensembles in stationary states.
• Macroscopic fluctuation theory for stationary nonequilibrium states
• Non equilibrium current fluctuations in stochastic lattice gases
• Large deviations in weakly interacting boundary driven lattice gases
• Probability of second law violations in shearing steady states
• Fluctuation theorem for stochastic dynamics
• Reexamination of experimental tests of the fluctuation theorem
• Reciprocal Relations in Irreversible Processes. I.
• Reciprocal Relations in Irreversible Processes. II.
• Extension of Onsager's Reciprocity to Large Fields and the Chaotic Hypothesis
• Fluctuations and Irreversible Processes
• Fluctuations and Irreversible Process. II. Systems with Kinetic Energy

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