Thermostatistics of small systems: exact results in the microcanonical formalism

被引：12

作者：

Miranda, E. N. ^{[1
,2
,3
]}

Bertoldi, Dalia S. ^{[1
,4
]}

机构：

[1] Univ Nacl Cuyo, Inst Ciencias Basicas, RA-5500 Mendoza, Argentina

[2] Consejo Nacl Invest Cient & Tecn, Mendoza, Argentina

[3] Univ Nacl San Luis, Dept Fis, RA-5700 San Luis, Argentina

[4] CCT Mendoza, IANIGLA CONICET, RA-5500 Mendoza, Argentina

来源：

EUROPEAN JOURNAL OF PHYSICS | 2013年 / 34卷 / 04期

关键词：

MAGNETIC NANOPARTICLES; PHASE-TRANSITIONS; THERMODYNAMICS; ENSEMBLES; HEAT;

D O I：

10.1088/0143-0807/34/4/1075

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

Several approximations are made to study the microcanonical formalism that are valid in the thermodynamics limit. Usually it is assumed that: (1) Stirling's approximation can be used to evaluate the number of microstates; (2) the surface entropy can be replaced by the volume entropy; and (3) derivatives can be used even if the energy is not a continuous variable. It is also assumed that the results obtained from the microcanonical formalism agree with those from the canonical one. However, it is not clear if these assumptions are right for very small systems (10-100 particles). To answer this question, two systems with exact solutions (the Einstein model of the solid and the two-level system) have been solved with and without these approximations.

引用

页码：1075 / 1087

页数：13

共 24 条

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