Statistical Characterization of a Set of Random Hamiltonians: Order-q Free Energy and Fluctuation Spectrum

1 March 1988

journal article
Published by Oxford University Press (OUP) in Progress of Theoretical Physics

Vol. 79 (3) , 557-560
https://doi.org/10.1143/ptp.79.557

Abstract

To study a global fluctuation characterization of Helmholtz free energies for a set of statistically-equivalent random Hamiltonian systems, an order-q free energyF_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).

Keywords

RANDOM HAMILTONIAN
STATISTICAL CHARACTERIZATION
CHARACTERIZATION OF A SET
HAMILTONIANS
GLOBAL FLUCTUATION
STATISTICALLY EQUIVALENT
EQUIVALENT RANDOM
REAL PARAMETER

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