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Zhou Hai-Jun; Li Kang; Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
Distribution of equilibrium free energies in a thermodynamic system with broken ergodicity
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
KeywordSpin-glasses Temperature Transition Dynamics Models
AbstractAt low temperature,,; the configurational phase space of a macroscopic complex system (e-g., a spin-glass) of N similar to 10(23) interacting particles may split into an exponential number Omega(s) similar to exp(const x N) of ergodic sub-spaces (thermodynamic states). It is usually assumed that the equilibrium collective behavior of such a system is determined by its ground thermodynamic states of the minimal free-energy density, and that the equilibrium free energies follow the distribution of exponential decay. But actually for some complex systems, the equilibrium free-energy values may follow a Gaussian distribution within an intermediate temperature range, and consequently their equilibrium properties are contributed by excited thermodynamic states. Based on this analysis, the re-weighting parameter y in the cavity approach of spin-glasses is easily understood. Depending on the free-energy distribution, the optimal y can either be equal to or be strictly less than the inverse temperature beta.
2008
ISSN0253-6102
Volume49Issue:3Pages:659-664
Subject AreaPhysics
Indexed BySCI
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Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5558
Collection理论物理所科研产出_SCI论文
Corresponding AuthorZhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhou Hai-Jun,Li Kang,Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China. Distribution of equilibrium free energies in a thermodynamic system with broken ergodicity[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2008,49(3):659-664.
APA Zhou Hai-Jun,Li Kang,&Zhou, HJ , Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China.(2008).Distribution of equilibrium free energies in a thermodynamic system with broken ergodicity.COMMUNICATIONS IN THEORETICAL PHYSICS,49(3),659-664.
MLA Zhou Hai-Jun,et al."Distribution of equilibrium free energies in a thermodynamic system with broken ergodicity".COMMUNICATIONS IN THEORETICAL PHYSICS 49.3(2008):659-664.
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