Multifractal spectrum of phase space related to generalized thermostatistics
نویسندگان
چکیده
منابع مشابه
Multifractal spectrum of phase space related to generalized thermostatistics
We consider a self-similar phase space with specific fractal dimension d being distributed with spectrum function f(d). Related thermostatistics is shown to be governed by the Tsallis formalism of the non-extensive statistics, where the nonadditivity parameter is equal to τ̄(q) ≡ 1/τ(q) > 1, and the multifractal function τ(q) = qdq − f(dq) is the specific heat determined with multifractal parame...
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We consider the self-similar phase space with reduced fractal dimension d being distributed within domain 0 < d < 1 with spectrum f(d). Related thermostatistics is shown to be governed by the Tsallis’ formalism of the non-extensive statistics, where role of the non-additivity parameter plays inverted value τ̄(q) ≡ 1/τ(q) > 1 of the multifractal function τ(q) = qd(q)− f(d(q)), being the specific ...
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Article history: Received 26 October 2007 Available online 10 July 2008 Submitted by M. Laczkovich
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2008
ISSN: 0378-4371
DOI: 10.1016/j.physa.2007.11.045