Second Law of Thermodynamics and Macroscopic Observables within Boltzmann's principle, an attempt

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dc.creatorGross, D. H. E.
dc.date2000-11-08
dc.date.accessioned2026-07-07T02:39:17Z
dc.date.available2026-07-07T02:39:17Z
dc.descriptionBoltzmann's principleS=k*ln W is generalized to non-equilibrium Hamiltonian systems with possibly fractal distributions in phase space by the box-counting volume. The probabilities P(M) of macroscopic observables M are given by the ratio P(M)=W(M)/W of these volumes of the sub-manifold {M} of the microcanonical ensemble with the constraint M to the one without. With this extension of the phase-space integral the Second Law is derived without invoking the thermodynamic limit. The irreversibility in this approach is due to the replacement of the phase space volume of the possibly fractal sub-manifold {M} by the volume of the closure of {M}. In contrast to conventional coarse graining the box-counting volume is defined by the limit of infinite resolution.
dc.description5 pages, no figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0011130
dc.identifierhttp://arxiv.org/abs/cond-mat/0011130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16998
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.subjectNuclear Theory
dc.titleSecond Law of Thermodynamics and Macroscopic Observables within Boltzmann's principle, an attempt
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