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Prog. Theor. Phys. Vol. 79 No. 3 (1988) pp. 557-560

Letters

Statistical Characterization of a Set of Random Hamiltonians

— Order-q Free Energy and Fluctuation Spectrum —

Masayoshi Inoue and Hirokazu Fujisaka

Department of Physics, Kagoshima University, Kagoshima 890

(Received September 28, 1987)

Abstract:

To study a global fluctuation characterization of Helmholtz free energies for a set of statistically-equivalent random Hamiltonian systems, an order-q free energy F_q(β), β being the inverse temperature and q being a real parameter, introduced. The relevant fluctuation characteristics are singled out by controlling q in the language of the fluctuation spectrum derived from F_q(β).

URL : http://ptp.ipap.jp/link?PTP/79/557/
DOI : 10.1143/PTP.79.557

[ Full Text PDF : FREE ACCESS (200K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. See, e.g., K. Binder and A. P. Young, Rev. Mod. Phys. 58 (1986), 801[APS].
2. H. Fujisaka, Prog. Theor. Phys. 71 (1984), 513[PTP].
   H. Fujisaka and M. Inoue, Prog. Theor. Phys. 74 (1985), 20[PTP].
3. M. Inoue and H. Fujisaka, Prog. Theor. Phys. 77 (1987), 1077[PTP].
4. H. Fujisaka and M. Inoue, Prog. Theor. Phys. 77 (1987), 1334[PTP].
5. G. Paladin and A. Vulpiani, Phys. Rep. 156 (1987), 147[CrossRef].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 84 No. 4 (1990) pp. 584-594 :

   Scaling Structures of Free-Energy Fluctuations in a One-Dimensional Dilute Ising Model

   Toshijiro Tanaka, Hirokazu Fujisaka and Masayoshi Inoue

2. Progress of Theoretical Physics Supplement No.99 (1989) pp. 82-94 :

   “Thermodynamics”, Temporal Correlations and Scaling Laws

   Hirokazu Fujisaka and Masayoshi Inoue

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