Disordering effects of color in nonequilibrium phase transitions induced by multiplicative noise

We investigate the effect of noise strength on the macroscopic ordering dynamics of systems with symmetric absorbing states. Using an explicit stochastic microscopic model, we present evidence for a phase transition in the coarsening dynamics, from an Ising-like to a voter-like behavior, as the noise strength is increased past a nontrivial critical value. By mapping to a thermal diffusion process, we argue that the transition arises due to locally-absorbing states being enter...

In the present letter, we introduce a new method to quantify the effect of disorder on spatiotemporal chaos [Y. Braiman, etc. Nature, 378, p465 (1995)]. Base on the autocorrelation function, we define a parameter to measure the effect of disorder. The results are intriguing and similar to the results obtained by J. Lindner etc. [J. Lindner, etc. Physics Letters A, 231, p164 (1997)]. Using this order parameter, the effect of disorder on spatiotemporal chaos in different condit...

We have studied the entropy-driven mechanism leading to stationary patterns formation in stochastic systems with local dynamics and non-Fickian diffusion. We have shown that a multiplicative noise fulfilling a fluctuation-dissipation relation is able to induce and sustain stationary structures with its intensity growth. It was found that at small and large noise intensities the system is characterized by unstable homogeneous states. At intermediate values of the noise intensi...

We have analyzed the interplay between noise and periodic spatial modulations in bistable systems outside equilibrium and found that noise is able to increase the spatial order of the system, giving rise to periodic patterns which otherwise look random. This new phenomenon, which may be viewed as the spatial counterpart of stochastic resonance, then shows a constructive role of noise in spatially extended systems, not considered up to now.

This paper uncovers a pitfall in the phase transition mechanism of Vicsek et al. [Phys. Rev. Lett. 75, 1226 (1995)] which occurs with fairly high probability and leads to complete breakdown of the model dynamics.

We investigate a system of harmonically coupled identical nonlinear constituents subject to noise in different spatial arrangements. For global coupling we find for infinitely many constituents the coexistence of several ergodic components and a bifurcation behaviour like in first order phase transitions. These results are compared with simulations for finite systems both for global coupling and for nearest neighbour coupling on two- and three-dimensional cubic lattices. The ...

We study the spatial distributions of two randomly interacting species, in the presence of an external multiplicative colored noise. The dynamics of the ecosystem is described by a coupled map lattice model. We find a nonmonotonic behavior in the formation of large scale spatial correlations as a function of the multiplicative colored noise intensity. This behavior is shifted towards higher values of the noise intensity for increasing correlation time of the noise.

We consider the non--equilibrium steady states of a driven charge density wave in the presence of impurities and noise. In three dimensions at strong drive, a true dynamical phase transition into a temporally periodic state with quasi--long--range translational order is predicted. In two dimensions, impurity induced phase slips are argued to destroy the periodic ``moving solid'' phase. Implications for narrow band noise measurements and relevance to other driven periodic medi...

External fluctuations have a wide variety of constructive effects on the dynamical behavior of spatially extended systems, as described by stochastic partial differential equations. A set of paradigmatic situations exhibiting such effects are briefly reviewed in this paper, in an attempt to provide a concise but thorough introduction to this active field of research, and at the same time an overview of its current status. This work is dedicated to Lutz Schimansky-Geier on the...

In this work, we introduce a kind of spatiotemporal bounded noise derived by the sine-Wiener noise and by the spatially colored unbounded noise introduced by Garc\'ia-Ojalvo, Sancho and Ram\'irez-Piscina (GSR noise). We characterize the behavior of the distribution of this novel noise by showing its dependence on both the temporal and the spatial autocorrelation strengths. In particular, we show that the distribution experiences a stochastic transition from bimodality to trim...