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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
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Bishop, Robert
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 15:11
Item ID: 1156
Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date: May 2003
URI: https://philsci-archive.pitt.edu/id/eprint/1156

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