Transport in partially hyperbolic fast-slow systems
Carlangelo Liverani
TL;DR
This paper explores how macroscopic transport laws like the heat equation can be rigorously derived from deterministic microscopic dynamics within the framework of partially hyperbolic fast-slow systems.
Contribution
It provides a dynamical systems perspective on deriving macroscopic transport laws from microscopic models, emphasizing recent rigorous approaches.
Findings
Connections between microscopic dynamics and macroscopic transport laws.
Recent rigorous methods for deriving the heat equation from deterministic systems.
Insights into partially hyperbolic fast-slow systems' role in transport phenomena.
Abstract
I will discuss, from a dynamical systems point of view, some recent attempts to rigorously derive the macroscopic laws of transport (e.g. the heat equation) from deterministic microscopic dynamics.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Advanced Thermodynamics and Statistical Mechanics · Mathematical Dynamics and Fractals