Dissipation-induced non-Gaussian energy fluctuations
Université de Lyon, Laboratoire de Physique, École normale supérieure de Lyon, CNRS 46 allée d'Italie, F-69007 Lyon, France, EU
Received: 19 March 2013
Accepted: 24 May 2013
The influence of dissipation on the fluctuation statistics of the total energy is investigated through both a phenomenological and a stochastic model for dissipative energy transfer through a cascade of states. In equilibrium the states obey equipartition and the total energy obeys the central limit theorem, giving Gaussian fluctuation. In the presence of dissipation the fluctuations can be driven non-Gaussian if there is macroscopic energy transfer from large to small scales. We are thus able to equate the non-Gaussian order parameter fluctuations in model equilibrium systems at criticality with energy fluctuations in these dissipative systems. Energy fluctuations in the phenomenological model map directly onto the -noise problem and numerical simulations of the stochastic model yield results in qualitative agreement with these predictions.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 02.50.Ey – Stochastic processes / 47.27.eb – Statistical theories and models
© EPLA, 2013