Weyl manifolds and Gaussian thermostats
Maciej P. Wojtkowski
TL;DR
This paper explores the connection between Weyl manifolds and Gaussian thermostats, revealing how Weyl geometry can be applied to understand thermostatic systems in physics.
Contribution
It introduces a novel relationship between Weyl connections and Gaussian thermostats, expanding the mathematical framework for thermodynamic systems.
Findings
Established a formal link between Weyl geometry and thermostats
Provided mathematical tools for analyzing thermostatic systems using Weyl connections
Potential applications in statistical mechanics and dynamical systems
Abstract
A relation between Weyl connections and Gaussian thermostats is exposed and exploited.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Mathematical Dynamics and Fractals · advanced mathematical theories