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Noise-Induced Phase Transition: Zero-Dimensional Brownian Particles Varying between Ergodicity and Nonergodicity |
| BAI Zhan-Wu |
| Department of Mathematics and Physics, North China Electric Power University, Baoding 071003 |
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| Cite this article: |
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BAI Zhan-Wu 2008 Chin. Phys. Lett. 25 1213-1216 |
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Abstract We study in phase space a zero-dimensional system of Brownian particles which move in a periodic potential and subject to an internal time derivative
Ornstein--Uhlenbeck noise. To resolve the Fokker--Planck equation in such a case, we propose an approximate analytical method. The theoretical predictions exhibit a second order noise-induced nonequilibrium phase transition, which is confirmed by numerical simulation results. The phase transition brings the system from an ergodicity to a nonergodicity phase as the potential barrier height decreases.
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05.40.Jc
05.70.Fh
05.40.Ca
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Received: 17 December 2007
Published: 31 March 2008
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