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  1. Microscopic non-equilibrium structure and dynamical model of entropy flow.T. Petrosky & M. Rosenberg - 1997 - Foundations of Physics 27 (2):239-259.
    The extension of quantum mechanics to a general functional space (“rigged Hilbert space”), which incorporates time-symmetry breaking, is applied to construct extract dynamical models of entropy production and entropy flow. They are illustrated by using a simple conservative Hamiltonian system for multilevel atoms coupled to a time-dependent external force. The external force destroys the monotonicity of the ℋ-function evolution. This leads to a model of the entropy flow that allows a steady nonequilibrium structure of the emitted field around the unstable (...)
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  2.  59
    Quantum mechanics and the direction of time.H. Hasegawa, T. Petrosky, I. Prigogine & S. Tasaki - 1991 - Foundations of Physics 21 (3):263-281.
    In recent papers the authors have discussed the dynamical properties of “large Poincaré systems” (LPS), that is, nonintegrable systems with a continuous spectrum (both classical and quantum). An interesting example of LPS is given by the Friedrichs model of field theory. As is well known, perturbation methods analytic in the coupling constant diverge because of resonant denominators. We show that this Poincaré “catastrophe” can be eliminated by a natural time ordering of the dynamical states. We obtain then a dynamical theory (...)
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  3.  93
    Transport Theory and Collective Modes. I. The Case of Moderately Dense Gases.T. Petrosky - 1999 - Foundations of Physics 29 (9):1417-1456.
    The complex spectral representation of the Liouville operator introduced by Prigogine and others is applied to moderately dense gases interacting through hard-core potentials in arbitrary d-dimensional spaces. Kinetic equations near equilibrium are constructed in each subspace as introduced in the spectral decomposition for collective, renormalized reduced distribution functions. Our renormalization is a nonequilibrium effect, as the renormalization effect disappears at equilibrium. It is remarkable that our renormalized functions strictly obey well-defined Markovian kinetic equations for all d, even though the ordinary (...)
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  4.  54
    Transport Theory and Collective Modes II: Long-Time Tail and Green-Kubo Formalism. [REVIEW]T. Petrosky - 1999 - Foundations of Physics 29 (10):1581-1605.
    The long-time tail effect (i.e., a non-Markovian effect) in a velocity autocorrelation function for moderately dense classical gases in d-dimensional space is estimated for arbitray n-mode coupling by superposition of the Markov equations for the collective modes which has been introduced through the complex spectral representation of the Liouville operator in the previous paper. Taking into account intermediate nonhydrodynamic modes in a transition between hydrodynamic states, we found slower decay processes in the long-time tail. These new processes lead to a (...)
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