Prefer a chat interface with context about you and your work?
Determination of the Spectral Gap in the Kac Model for Physical Momentum and Energy-Conserving Collisions
The Kac model describes the local evolution of a gas of N particles with three-dimensional velocities by a random walk in which the steps correspond to binary collisions that conserve momentum as well as energy. The state space of this walk is a sphere of dimension $3N - 4$. The …