348 research outputs found
Heat and work distributions for mixed Gauss-Cauchy process
We analyze energetics of a non-Gaussian process described by a stochastic
differential equation of the Langevin type. The process represents a
paradigmatic model of a nonequilibrium system subject to thermal fluctuations
and additional external noise, with both sources of perturbations considered as
additive and statistically independent forcings. We define thermodynamic
quantities for trajectories of the process and analyze contributions to
mechanical work and heat. As a working example we consider a particle subjected
to a drag force and two independent Levy white noises with stability indices
and . The fluctuations of dissipated energy (heat) and
distribution of work performed by the force acting on the system are addressed
by examining contributions of Cauchy fluctuations to either bath or external
force acting on the system
Synchronization induced by periodic inputs in finite -unit bistable Langevin models: The augmented moment method
We have studied the synchronization induced by periodic inputs applied to the
finite -unit coupled bistable Langevin model which is subjected to
cross-correlated additive and multiplicative noises. Effects on the
synchronization of the system size (), the coupling strength and the
cross-correlation between additive and multiplicative noises have been
investigated with the use of the semi-analytical augmented moment method (AMM)
which is the second-order moment approximation for local and global variables
[H. Hasegawa, Phys. Rev. E {\bf 67} (2003) 041903]. A linear analysis of the
stationary solution of AMM equations shows that the stability is improved
(degraded) by positive (negative) couplings. Results of the nonlinear bistable
Langevin model are compared to those of the linear Langevin model.Comment: 19 pages, 10 figures, the final version with a changed title,
accepted in Physica
Nonequilibrium phase transitions induced by multiplicative noise: effects of self-correlation
A recently introduced lattice model, describing an extended system which
exhibits a reentrant (symmetry-breaking, second-order) noise-induced
nonequilibrium phase transition, is studied under the assumption that the
multiplicative noise leading to the transition is colored. Within an effective
Markovian approximation and a mean-field scheme it is found that when the
self-correlation time of the noise is different from zero, the transition is
also reentrant with respect to the spatial coupling D. In other words, at
variance with what one expects for equilibrium phase transitions, a large
enough value of D favors disorder. Moreover, except for a small region in the
parameter subspace determined by the noise intensity and D, an increase in the
self-correlation time usually preventsthe formation of an ordered state. These
effects are supported by numerical simulations.Comment: 15 pages. 9 figures. To appear in Phys.Rev.
Noise-induced Regime Shifts: A Quantitative Characterization
Diverse complex dynamical systems are known to exhibit abrupt regime shifts
at bifurcation points of the saddle-node type. The dynamics of most of these
systems, however, have a stochastic component resulting in noise driven regime
shifts even if the system is away from the bifurcation points. In this paper,
we propose a new quantitative measure, namely, the propensity transition point
as an indicator of stochastic regime shifts. The concepts and the methodology
are illustrated for the one-variable May model, a well-known model in ecology
and the genetic toggle, a two-variable model of a simple genetic circuit. The
general applicability and usefulness of the method for the analysis of regime
shifts is further demonstrated in the case of the mycobacterial switch to
persistence for which experimental data are available.Comment: 10 Pages, 9 figures, revtex4-1, published versio
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