Dissipation induced non-Gaussian energy fluctuations

TL;DR

This paper explores how dissipation affects energy fluctuation statistics, showing that dissipation can induce non-Gaussian fluctuations in energy transfer systems, with implications for understanding critical phenomena and noise behavior.

Contribution

It introduces models linking dissipation-induced non-Gaussian energy fluctuations to critical phenomena and noise, providing a unified framework for these effects.

Findings

Dissipation can drive non-Gaussian energy fluctuations in cascade systems.

Numerical simulations support the theoretical predictions.

Energy fluctuations relate to 1/f^alpha noise phenomena.

Abstract

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 fluctuations. 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 1/f^alpha noise problem and numerical simulations of the stochastic model yield results in qualitative agreement with these predictions.