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- W2017808197 abstract "Contents Introduction. Description of main results Problem I. Justification of the second element of thermodynamics on the basis of classical mechanics Problem II. Justification of the Fermi acceleration mechanism Part 1. Rigorous justification of the second element of thermodynamics from mechanics for the gas consisting of finitely many particles, and the ergodic theory Chapter I. One-dimensional gas ?1. Introducing a measure on the phase space for the distribution function and entropy ?2. Newtonian model ?3. Relativistic model Chapter II. Three-dimensional gas ?1. Introducing a measure on the phase space for the distribution function and entropy ?2. Newtonian model of a three-dimensional gas ?3. Relativistic model of a three-dimensional gas Part 2. Acceleration mechanisms in Newtonian and relativistic mechanics, and the stability problem for non-autonomous dynamical systems Chapter I. The Fermi-Ulam model ?1. On the existence of invariant curves under ring mappings close to degenerate ones ?2. On the Ulam problem Chapter II. Relativistic analogue of the Fermi-Ulam model Chapter III. Relativistic analogue of the generalization of the Fermi-Ulam model Chapter IV. An accelerator model with one wall in the gravity field ?1. Existence of a continuum of accelerated trajectories, and the Anosov systems ?2. Existence of a residual set of accelerated trajectories, and generalization of the Birkhoff problem to the nonautonomous case Chapter V. The non-autonomous Birkhoff problem, the nonautonomous function-theoretic centre problem, and their applications ?1. The non-autonomous Birkhoff problem and its generalization ?2. The non-autonomous function-theoretic centre problem, and stability and normality of some families of analytic functions Bibliography" @default.
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- W2017808197 title "Poincaré models, rigorous justification of the second element of thermodynamics on the basis of mechanics, and the Fermi acceleration mechanism" @default.
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