Equivalence condition for the canonical and microcanonical ensembles in coupled spin systems

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 82, Issue 4, 2010, Pages

  Zhang, Wenxian ^a,b   Sun, C P ^b,c   Nori, Franco ^b,d  

^a FUDAN UNIVERSITY   (China)

^b RIKEN   (Japan)

^c INSTITUTE OF THEORETICAL PHYSICS   (China)

^d UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CANONICAL ENSEMBLE; COUPLED SPINS; EQUIVALENCE CONDITIONS; LEVEL SPACING; MICROCANONICAL ENSEMBLES; SPIN COUPLINGS; SPIN SYSTEMS; WEAK COUPLINGS;

SPIN DYNAMICS;

EID: 78651308682     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.041127     Document Type: Article

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27. k / √ B k 2 + ω k 2.
28. i.
29. Quantitatively, we find a little improvement of the equivalence condition between canonical and microcanonical ensembles for large bathes and for small energy-shell values. However, the parameter regimes we investigate are rather limited, 18 ≤ K ≤ 25 and - 1.722 ≤ E ≤ - 2.637. Strong statements on the bath-size or energy-shell effects would require much larger bathes (till the thermodynamic limit), which are beyond our computational ability. In addition, the bath energy is assumed much larger than the system energy, as required by standard thermal dynamics.