Non-commutative geometry and irreversibility


Erzan A., Gorbon A.

EUROPEAN PHYSICAL JOURNAL B, cilt.1, ss.111-116, 1998 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 1 Konu: 1
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1007/s100510050159
  • Dergi Adı: EUROPEAN PHYSICAL JOURNAL B
  • Sayfa Sayıları: ss.111-116

Özet

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 le 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.