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

R. R. DEZA, G. G. IZÚS Y H. S. WIO

Central European Journal of Physics

Versita (distribuido por Springer-Verlag)

Lugar: Varsovia, Polonia; Año: 2009 vol. 7 p. 472 - 478

1895-1082

We discuss the case of a Brownian particle which is harmonically bound and multiplicatively forced---namely bound by $V(x,t)=\frac{1}{2}a(t)x^2$ 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.