Time pp 19-79 | Cite as

(Ir)reversibility and Entropy

  • Cédric Villani
Part of the Progress in Mathematical Physics book series (PMP, volume 63)


In this text, I evoke the issue of time in classical statistical physics, insisting on the problem of time’s arrow and irreversibility. Boltzmann’s entropy and the H Theorem play a key part, as well as the damping without information loss imagined by Landau. Some paradoxes of various fame are analyzed from the physical and mathematical points of view.


Boltzmann Equation Entropy Production Collision Operator Vlasov Equation Collision Kernel 
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Copyright information

© Springer Basel 2013

Authors and Affiliations

  • Cédric Villani
    • 1
  1. 1.Université de Lyon & Institut Henri PoincaréF-75231France

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