期刊
PHYSICAL REVIEW RESEARCH
卷 2, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.2.043088
关键词
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资金
- Israel Science Foundation [1898/17]
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq)
- Fundacao de Amparo a Pesquisa do Estado do Rio de Janeiro (FAPERJ)
- Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior -Brasil (CAPES) [001]
We consider an overdamped Brownian particle subject to an asymptotically flat potential with a trap of depth U-0 around the origin. When the temperature is small compared to the trap depth (xi = k(B)T/U-0 << 1), there exists a range of timescales over which physical observables remain practically constant. This range can be very long, of the order of the Arrhenius factor e(1/xi). For these quasiequilibrium states, the usual Boltzmann-Gibbs recipe does not work since the partition function is divergent due to the flatness of the potential at long distances. However, we show that the standard Boltzmann-Gibbs statistical framework and thermodynamic relations can still be applied through proper regularization. This can be a valuable tool for the analysis of metastability in the nonconfining potential fields that characterize a vast number of systems.
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