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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 1 Issue 1 (1998) pp 111-116
Non-commutative geometry and irreversibility
A. Erzan (1)(2) (a), A. Gorbon (1)
(1) Department of Physics, Faculty of Sciences and Letters, Istanbul Technical University, Maslak 80626, Istanbul, Turkey
(2) TÜBITAK Research Institute for Basic Sciences, P.K. 6, Çengelköy, Istanbul 81220, Turkey
Received: 24 June 1997 / Revised: 15 September 1997 / Accepted: 6 October 1997
Abstract: A kinetics built upon q-calculus, the calculus of discrete dilatations, is shown to describe diffusion on a hierarchical lattice. The only observable on this ultrametric space is the "quasi-position" whose eigenvalues are the levels of the hierarchy, corresponding to the volume of phase space available to the system at any given time. Motion along the lattice of quasi-positions is irreversible.
PACS. 05.20.Dd Kinetic theory - 05.70.Ln Nonequilibrium thermodynamics, irreversible processes
(a) e-mail: erzan@sariyer.cc.itu.edu.tr
Online publication: February 4, 1998
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