PSA2016: The 25th Biennial Meeting of the Philosophy of Science Association

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Irreversibility in the derivation of the Boltzmann equation

Uffink and Valente (2015) claimed that there is no time-asymmetric ingredient that, added to the Hamiltonian equations of motion, allows to obtain the Boltzmann equation within the Lanford’s derivation. This paper is a reply to this analysis. I claim that there are two main ingredients in the derivation of the Boltzmann equation with regard to the question of irreversibility. On the one hand, the use of the Boltzmann-Grad limit allows to derive equations that are not invariant under time reversal from equations that are time reversal invariant. On the other hand, the choice of incoming configurations instead of outgoing configurations to represent collisions between particles, is a time-asymmetric ingredient that allows to obtain the Boltzmann equation.

Author Information:

Vincent Ardourel    
CEFISES
UCL (Louvain)

 

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