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Multicanonical distribution: Statistical equilibrium of multiscale systems

Imperial College Complexity & Networks Seminar
When Jan 21, 2014
from 12:00 PM to 01:00 PM
Where Gabor Seminar Room 611, Electrical & Electronic Engineering Building, Imperial College London, South Kensington Campus
Contact Name
Contact Phone +44 (0)20 7594 7574
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Speaker: Prof. Giovani Vasconcelos Dept. of Physics Federal University of Pernambuco, Recife Brazil


Title: Multicanonical distribution: Statistical equilibrium of multiscale systems


Abstract: A multicanonical formalism is introduced to describe the statistical equilibrium of complex systems exhibiting a hierarchy of time and length scales, where the hierarchical structure is described as a set of nested ?internal heat reservoirs? with fluctuating ?temperatures.? The probability distribution of states at small scales is written as an appropriate averaging of the large-scale distribution (the Boltzmann-Gibbs distribution) over these effective internal degrees of freedom. For a large class of systems the multicanonical distribution is given explicitly in terms of generalized hypergeometric functions. As a concrete example, it is shown that generalized hypergeometric distributions describe remarkably well the statistics of acceleration measurements in Lagrangian turbulence.

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