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A Hamiltonian Demon: Circumventing the Second Law by Quantizing Energy

Raffaello D'Andrea (ETH Zürich)
E18-304

Abstract In this talk I will introduce a deterministic process, henceforth referred to as a demon, for altering the equilibrium distribution of a billiards-like dynamical system. The system consists of particles whose energies are integer valued, and where all energy-exchange mechanisms preserve this quantization.  As a result, time and positions are continuous, while velocities are discrete. The demon is a localized, velocity-dependent potential whose effect is to simply alter the direction of an incident particle.  It is shown how the…

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