Noised-induced phase transition in an oscillatory system with dynamical traps |
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Authors: | Email author" target="_blank">I?LubashevskyEmail author M?Hajimahmoodzadeh A?Katsnelson P?Wagner |
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Institution: | (1) Theory Department, General Physics Institute, Russian Academy of Sciences, Vavilov Str. 38, 119991 Moscow, Russia;(2) Faculty of Physics, M.V. Lomonosov Moscow State University, 119992 Moscow, Russia;(3) Institute of Transport Research, German Aerospace Center (DLR), Rutherfordstrasse 2, 12489 Berlin, Germany |
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Abstract: | A new type of noised induced phase transitions is proposed. It occurs in noisy systems with dynamical traps. Dynamical traps are regions in the phase space where the regular forces are depressed substantially. By way of an example, a simple oscillatory system
with additive white noise is considered and its dynamics is analyzed numerically. The dynamical trap region is assumed to be located near the x-axis where the velocity v of the system becomes sufficiently low. The meaning of this assumption is discussed. The observed phase transition is caused by the asymmetry in the residence time distribution in the vicinity of zero value velocity . This asymmetry is due to a cooperative effect of the random Langevin force in the trap region and the regular force not changing the direction of action when crossing the trap region.Received: 25 April 2003, Published online: 19 November 2003PACS:
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion - 05.45.-a Nonlinear dynamics and nonlinear dynamical systems - 05.70.Fh Phase transitions: general studies |
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