Fluctuation theorems from non-equilibrium Onsager-Machlup theory for a Brownian particle in a time-dependent harmonic potential

• Authors: Roberto Deza , Gonzalo Izús , Horacio Wio
• Languages of publication: EN

Abstracts

EN

We discuss the case of a Brownian particle which is harmonically bound and multiplicatively forced-namely bound by V(x,t)=1/2 a(t)x
2 where a(t)is externally controlled-as another instance that provides a generalization of Onsager-Machlup’s theory to non-equilibrium states, thus allowing establishment of several fluctuation theorems. In particular, we outline the derivation of a fluctuation theorem for work, through the calculation of the work probability distribution as a functional integral over stochastic trajectories.

Keywords

EN

fluctuation phenomena, random processes, noise, and brownian motion; stochastic analysis methods (Fokker-Planck, Langevin, etc.); non-equilibrium and irreversible thermodynamics

Discipline

• 05.10.Gg: Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
• 05.40.-a: Fluctuation phenomena, random processes, noise, and Brownian motion(for fluctuations in superconductivity, see 74.40.-n; for statistical theory and fluctuations in nuclear reactions, see 24.60.-k; for fluctuations in plasma, see 52.25.Gj; for nonlinear dynamics and chaos, see 05.45.-a)
• 05.70.Ln: Nonequilibrium and irreversible thermodynamics(see also 82.40.Bj Oscillations, chaos, and bifurcations in physical chemistry and chemical physics)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 3
• Pages: 472-478

Dates

published

1 - 9 - 2009

online

25 - 6 - 2009

Contributors

author

Roberto Deza

• IFIMAR (Universidad Nacional de Mar del Plata and CONICET), Deán Funes 3350, 7600, Mar del Plata, Argentina

author

Gonzalo Izús

• IFIMAR (Universidad Nacional de Mar del Plata and CONICET), Deán Funes 3350, 7600, Mar del Plata, Argentina

author

Horacio Wio

• IFCA (Universidad de Cantabria and CSIC), Av. de los Castros s/n, E-39005, Santander, Spain

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Identifiers

DOI

10.2478/s11534-009-0038-4