Kac model (source code)

= Kac model
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= Kac's model
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{synonym}

This many-particle stochastic collision model rotates one uniformly selected velocity pair by a uniformly selected angle, conserving the sum of squared velocities. Its normalized angular averaging is the <Kac collision operator>, and its continuous-time evolution is the <Kac master equation>. In this version velocities range over $\mathbb R^N$ and initial energy is not restricted to one sphere; the evolution preserves the initial energy distribution.