Abstract
We studied the Ehrenfest urn model in which particles in the same urn interact with each other. Depending on the nature of interaction, the system undergoes a first- or second-order phase transition. The relaxation time to the equilibrium state, the Poincaré cycles of the equilibrium state and the most far-from-equilibrium state, and the duration time of the states during first-order phase transition are calculated. It was shown that the scaling behavior the Poincaré cycles could serve as an indication to the nature of phase transition, and the behavior of the ratio of duration time of the states could be strong evidence of the metastability during first-order phase transition.
| Original language | English |
|---|---|
| Article number | 032125 |
| Journal | Physical Review E |
| Volume | 96 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2017 Sep 15 |
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All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
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Ehrenfest urn model with interaction. / Tseng, Chun Hsiung; Kao, Yee Mou; Cheng, Chi Ho.
In: Physical Review E, Vol. 96, No. 3, 032125, 15.09.2017.Research output: Contribution to journal › Article
TY - JOUR
T1 - Ehrenfest urn model with interaction
AU - Tseng, Chun Hsiung
AU - Kao, Yee Mou
AU - Cheng, Chi Ho
PY - 2017/9/15
Y1 - 2017/9/15
N2 - We studied the Ehrenfest urn model in which particles in the same urn interact with each other. Depending on the nature of interaction, the system undergoes a first- or second-order phase transition. The relaxation time to the equilibrium state, the Poincaré cycles of the equilibrium state and the most far-from-equilibrium state, and the duration time of the states during first-order phase transition are calculated. It was shown that the scaling behavior the Poincaré cycles could serve as an indication to the nature of phase transition, and the behavior of the ratio of duration time of the states could be strong evidence of the metastability during first-order phase transition.
AB - We studied the Ehrenfest urn model in which particles in the same urn interact with each other. Depending on the nature of interaction, the system undergoes a first- or second-order phase transition. The relaxation time to the equilibrium state, the Poincaré cycles of the equilibrium state and the most far-from-equilibrium state, and the duration time of the states during first-order phase transition are calculated. It was shown that the scaling behavior the Poincaré cycles could serve as an indication to the nature of phase transition, and the behavior of the ratio of duration time of the states could be strong evidence of the metastability during first-order phase transition.
UR - http://www.scopus.com/inward/record.url?scp=85029837980&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85029837980&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.96.032125
DO - 10.1103/PhysRevE.96.032125
M3 - Article
AN - SCOPUS:85029837980
VL - 96
JO - Physical review. E
JF - Physical review. E
SN - 1539-3755
IS - 3
M1 - 032125
ER -