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• W2164539400 abstract "We generalize the method of Van Hove so as to deal with the case of non-ordinary statistical mechanics, that being phenomena with no time-scale separation. We show that in the case of ordinary statistical mechanics, even if the adoption of the Van Hove method imposes randomness upon Hamiltonian dynamics, the resulting statistical process is described using normal calculus techniques. On the other hand, in the case where there is no time-scale separation, this generalized version of Van Hove's method not only imposes randomness upon the microscopic dynamics, but it also transmits randomness to the macroscopic level. As a result, the correct description of macroscopic dynamics has to be expressed in terms of the fractional calculus." @default.
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• W2164539400 date "1999-03-01" @default.
• W2164539400 modified "2023-10-12" @default.
• W2164539400 title "Fractional calculus as a macroscopic manifestation of randomness" @default.
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• W2164539400 doi "https://doi.org/10.1103/physreve.59.2603" @default.
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