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 …
large fluctuations in random systems. These probabilities are important in many fields of …
Colored noise in dynamical systems
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 …
motion of small particles suspended in a fluid and moving under the influence of random …
The entropy production of Ornstein–Uhlenbeck active particles: a path integral method for correlations
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 …
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
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 …
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 …
of science. These works encompass the photo-electric effect (for which he obtained the …
Enhancement of stochastic resonance: the role of non Gaussian noises
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 …
driven by a colored non Gaussian noise. Using a path-integral approach we have obtained …
Can colored noise improve stochastic resonance?
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 …
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 …
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 …
It has been studied theoretically and experimentally, thereby illuminating the concept of …