Berlin 2005 – scientific programme

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GR: Gravitation und Relativitätstheorie

GR 12: Grundlagen und allgemeiner Formalismus

GR 12.3: Talk

Monday, March 7, 2005, 17:30–17:45, TU BH262

Relativity theory approach to rigorous justification of the Fermi acceleration mechanism and the law of entropy increase — •Lev Pustyl’nikov — Universitat Bielefeld, Fakultat fur Physik, BiBoS, D-33501 Bielefeld,Germany

On the basis of taking account of relativistic effect the following physical problem are in essence solved:(i) the problem posed by Fermi of explaining the origin of high energy particles in the cosmic space, on the basis of the statistics of mechanical collisions of particles and macroobjects moving periodically in the cosmos, and (ii) the problem posed in the days of Clausius, Boltzmann, and Gibbs, of justifying the law of entropy increase in statistical physics. The rigorous investigation of these problems were carried out for relativistic versions of the Fermi-Ulam model ([1]), the Poincare model ([2]) and the generalized billiards ([4]).

[1]. L.D.Pustyl’nikov, "A new mechanism for particle acceleration and relativistic analogue of the Fermi-Ulam model", Teoret.Math.Phys.77(1),(1988). [2]. L.D.Pustyl’nikov, "Poincare model, rigorous justification of the second element of thermodynamics from mechanics, and the Fermi acceleration mechanism", Russ.Math. Surves 50 (1), (1995), 145-189. [3]. L.D.Pustyl’nikov, "On the mechanism for the origin of irreversibility, and the unbounded growth of energy in a model of statistical mechanics", Theoret. and Math. Phys.,86 (1991), 82-89. [4].M.V.Deryabin, L.D.Pustyl’nikov, "Exponential attractors in generalized relativistic billiards",Commun.Math.Phys.,248, N3,(2004), 527-552.