Fractional Calculus as a Macroscopic Manifestation of Randomness

Details Fractional Calculus as a Macroscopic Manifestation of Randomness Fractional Calculus as a Macroscopic Manifestation of Randomness

1998-09-03

arxiv.org/abs/cond-mat/9809075v3

Phys. Rev. E 59 (1999) 2603-2613

Physics

Condensed Matter

20 pages, 1 figure

Scientific paper

10.1103/PhysRevE.59.2603

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.

Affiliated with

Also associated with

No associations

Rating

Fractional Calculus as a Macroscopic Manifestation of Randomness does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fractional Calculus as a Macroscopic Manifestation of Randomness, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional Calculus as a Macroscopic Manifestation of Randomness will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-464357