dorsal/arxiv
View SchemaBrussels-Austin Nonequilibrium Statistical Mechanics in the Later Years: Large Poincare Systems and Rigged Hilbert Space
| Authors | Robert C. Bishop |
|---|---|
| Categories | |
| ArXiv ID | physics/0304020 |
| URL | https://arxiv.org/abs/physics/0304020 |
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 Poincar\U{e9} systems, nonlinear dynamics and the mathematical tools necessary to analyze them.
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"abstract": "This second part of a two-part essay discusses recent developments in the\nBrussels-Austin Group after the mid 1980s. The fundamental concerns are the\nsame as in their similarity transformation approach (see Part I), but the\ncontemporary approach utilizes rigged Hilbert space (whereas the older approach\nused Hilbert space). While the emphasis on nonequilibrium statistical mechanics\nremains the same, the use of similarity transformations shifts to the\nbackground. In its place arose an interest in the physical features of large\nPoincar\\U{e9} systems, nonlinear dynamics and the mathematical tools necessary\nto analyze them.",
"arxiv_id": "physics/0304020",
"authors": [
"Robert C. Bishop"
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"title": "Brussels-Austin Nonequilibrium Statistical Mechanics in the Later Years: Large Poincare Systems and Rigged Hilbert Space",
"url": "https://arxiv.org/abs/physics/0304020"
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