Chaos, fractals and thermodynamics

@inproceedings{Gaspard2000ChaosFA,
  title={Chaos, fractals and thermodynamics},
  author={Pierre Gaspard},
  year={2000}
}
Since Newton, the temporal evolution of natural systems has been described by mathematical laws expressed in terms of differential equations. The equations uniquely determine the system state at time t+ dt as a function of its previous state at time t. The state of the system is defined by a set of coordinatesX taking their values in the so-called phase space [1]. These coordinates are for instance the positions and velocities of the particles of a mechanical system. A typical differential… 
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