Additive noise and noise-induced nonequilibrium phase transitions

Zaikin, A.; Kurths, J.
March 2000
AIP Conference Proceedings;2000, Vol. 511 Issue 1, p303
Academic Journal
We study how additive noise influences noise-induced nonequilibrium phase transitions. The review of the most recent results and a discussion about open questions is presented. We show that additive noise strongly influences a noise-induced phase transition. We demonstrate also that additive noise can induce such a transition by itself. It can occur both via the excitation of noise-induced oscillations and via the creation of a mean field in the nonlinear systems. Finally, we show that additive noise can stabilize noise-induced oscillations. © 2000 American Institute of Physics.


Related Articles

  • A phase transition in a system driven by coloured noise. Arraya´s, M.; Dykman, M. I.; Mannella, R.; McClintock, P. V. E.; Stein, N. D. // AIP Conference Proceedings;2000, Vol. 502 Issue 1, p42 

    For a system driven by coloured noise, we investigate the activation energy of escape, and the dynamics during the escape. We have performed analogue experiments to measure the change in activation energy as the power spectrum of the noise varies. An adiabatic approach based on path integral...

  • Nonequilibrium phase transitions induced by external noise in distributed systems. Gudyma, Yu. V. // Technical Physics Letters;Feb99, Vol. 25 Issue 2, p164 

    A formalism is proposed to describe nonequilibrium phase transitions induced by external multiplicative noise in distributed systems. This approach can reduce the problem to an investigation of a regular differential equation whose roots correspond to possible phase states in the system. By...

  • Noise-Induced Transition and 1/f Fluctuations while Intersecting Nonequilibrium Phase Transitions. Koverda, V. P.; Skokov, V. N. // Doklady Physics;Sep2002, Vol. 47 Issue 9, p654 

    Discusses noise-induced transition and flicker noise fluctuations while intersecting nonequilibrium phase transitions. Dynamics of fluctuations in certain systems nonconventional from the standpoint of flicker-noise studies; Stochastic equations describing the dynamics of fluctuations in the...

  • Critical Behavior and 1/f Noise in Lumped Systems Undergoing Two Phase Transitions. Koverda, V. P.; Skokov, V. N. // Technical Physics;Oct2000, Vol. 45 Issue 10, p1231 

    It is shown that the interaction of order parameters when subcritical and supercritical phase transitions take place simultaneously may result in a self-organized critical state and cause a 1/f[sup α] fluctuation spectrum, where 1 ≤ α ≤ 2. Such behavior is inherent in potential...

  • 1/f noise at a critical nonequilibrium phase transition. Koverda, V. P.; Skokov, V. N.; Skripov, V. P. // JETP Letters;5/10/96, Vol. 63 Issue 9, p775 

    The generation of 1/f noise is demonstrated experimentally in a system consisting of a superconducting film carrying a transport current in contact with a boiling liquid coolant. It is found that wide-band 1/f noise with a large amplitude of the fluctuations is observed over a wide range of...

  • Direct simulation of dichotomous noise-induced transitions in a bistable system. L'Heureux, Ivan; Kapral, Raymond // Journal of Chemical Physics;2/15/1989, Vol. 90 Issue 4, p2453 

    Studies the dichotomous noise-induced transitions in a one-dimensional bistable system. Expressions for the rate coefficients; Algorithm for estimating the rate coefficient.

  • Patchiness and Demographic Noise in Three Ecological Examples. Bonachela, Juan; Muñoz, Miguel; Levin, Simon // Journal of Statistical Physics;Sep2012, Vol. 148 Issue 4, p723 

    Understanding the causes and effects of spatial aggregation is one of the most fundamental problems in ecology. Aggregation is an emergent phenomenon arising from the interactions between the individuals of the population, able to sense only-at most-local densities of their cohorts. Thus, taking...

  • Phase transition in spatial epidemics using cellular automata with noise. Sun, Gui-Quan; Jin, Zhen; Song, Li-Peng; Chakraborty, Amit; Li, Bai-Lian // Ecological Research;Mar2011, Vol. 26 Issue 2, p333 

    One of the central issues in studying the complex population patterns observed in nature is the role of stochasticity. In this paper, the effects of additive spatiotemporal random variations-noise-are introduced to an epidemic model. The no-noise model exhibits a phase transition from a...

  • The random replicator model at nonzero temperature. Poderoso, F. C.; Fontanari, J. F. // European Physical Journal B -- Condensed Matter;Dec2005, Vol. 48 Issue 4, p557 

    The random replicator model with interspecies coupling strengths prescribed by the competitive exclusion principle – the Hebb rule – is studied analytically in the presence of fast noise that describes the flow of migrants between the ecosystem and the outer world. The stochastic...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics