The large deviation approach to statistical mechanics

H Touchette - Physics Reports, 2009 - Elsevier
The theory of large deviations is concerned with the exponential decay of probabilities of
large fluctuations in random systems. These probabilities are important in many fields of …

Colored noise in dynamical systems

P Häunggi, P Jung - Advances in chemical physics, 1994 - Wiley Online Library
The general subject of colored noise driven dynamical flows is rooted in the study of the
motion of small particles suspended in a fluid and moving under the influence of random …

[图书][B] Statistical field theory for neural networks

M Helias, D Dahmen - 2020 - Springer
Many qualitative features of the emerging collective dynamics in neuronal networks, such as
correlated activity, stability, response to inputs, and chaotic and regular behavior, can be …

The entropy production of Ornstein–Uhlenbeck active particles: a path integral method for correlations

L Caprini, UMB Marconi, A Puglisi… - Journal of Statistical …, 2019 - iopscience.iop.org
By employing a path integral formulation, we obtain the entropy production rate for a system
of active Ornstein–Uhlenbeck particles (AOUP) both in the presence and in the absence of …

Effective Markovian approximation for non-Gaussian noises: a path integral approach

MA Fuentes, HS Wio, R Toral - Physica A: Statistical Mechanics and its …, 2002 - Elsevier
We have analyzed diffusion in a double well potential driven by a colored non-Gaussian
noise. Using a path-integral approach we have obtained a consistent Markovian …

Introduction: 100years of Brownian motion

P Hänggi, F Marchesoni - Chaos: An Interdisciplinary Journal of …, 2005 - pubs.aip.org
In the year 1905 Albert Einstein published four papers that raised him to a giant in the history
of science. These works encompass the photo-electric effect (for which he obtained the …

Enhancement of stochastic resonance: the role of non Gaussian noises

MA Fuentes, R Toral, HS Wio - Physica A: Statistical Mechanics and its …, 2001 - Elsevier
We have analyzed the phenomenon of stochastic resonance in a double well potential
driven by a colored non Gaussian noise. Using a path-integral approach we have obtained …

Can colored noise improve stochastic resonance?

P Hänggi, P Jung, C Zerbe, F Moss - Journal of Statistical Physics, 1993 - Springer
The phenomenon of stochastic resonance is studied in the presence of colored noise.
Several sources of colored noise are introduced and the consequences for the asymptotic …

Analogue studies of nonlinear systems

DG Luchinsky, PVE McClintock… - Reports on Progress in …, 1998 - iopscience.iop.org
The design of analogue electronic experiments to investigate phenomena in nonlinear
dynamics, especially stochastic phenomena, is described in practical terms. The advantages …

Optimal paths and the prehistory problem for large fluctuations in noise-driven systems

MI Dykman, PVE McClintock, VN Smelyanski… - Physical Review Letters, 1992 - APS
A prehistory problem is formulated for large occasional fluctuations in noise-driven systems.
It has been studied theoretically and experimentally, thereby illuminating the concept of …