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Brussels-Austin Nonequilibrium Statistical Mechanics in the Later Years: Large Poincaré Systems and Rigged Hilbert Space

Bishop, Robert (2003) Brussels-Austin Nonequilibrium Statistical Mechanics in the Later Years: Large Poincaré Systems and Rigged Hilbert Space. [Preprint]

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    Abstract

    This second part of a two-part essay discusses recent developments in the Brussels-Austin Group after the mid 1980s. The fundamental concerns are the same as in their similarity transformation approach (see Part I), but the contemporary approach utilizes rigged Hilbert space (whereas the older approach used Hilbert space). While the emphasis on nonequilibrium statistical mechanics remains the same, the use of similarity transformations shifts to the background. In its place arose an interest in the physical features of large Poincaré systems, nonlinear dynamics and the mathematical tools necessary to analyze them.


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    Item Type: Preprint
    Commentary on: Bishop, Robert(2003) Brussels-Austin Nonequilibrium Statistical Mechanics in the Early Years: Similarity Transformations between Deterministic and Probabilistic Descriptions. [Preprint]
    Keywords: Thermodynamics, Statistical Mechanics, Integrable Systems, Nonlinear Dynamics, Probability, Arrow of Time
    Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
    Depositing User: Dr Robert C. Bishop
    Date Deposited: 16 May 2003
    Last Modified: 07 Oct 2010 11:11
    Item ID: 1156
    URI: http://philsci-archive.pitt.edu/id/eprint/1156

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