Random billiards with wall temperature and associated Markov chains

Keyphrases

• Markov Chain 100%
• Wall Temperature 100%
• Billiards 100%
• Random Billiards 100%
• Microstructure 60%
• Classical Statistical Mechanics 40%
• Collision Velocity 40%
• Mechanical Features 40%
• Geometric Description 20%
• Eigenvalues 20%
• Equilibrium State 20%
• Probability Distribution 20%
• Mechanical Structure 20%
• Mechanical Model 20%
• Mass Ratio 20%
• Hilbert Space 20%
• Thermal Effect 20%
• Geometric Features 20%
• Equilibrium Distribution 20%
• General State Space 20%
• Specular Reflection 20%
• Particle-surface Interactions 20%
• Law of Cosines 20%
• Probability Operators 20%
• Post-collision 20%
• Maxwell-Boltzmann Distribution 20%
• Billiard Systems 20%
• General Algorithm 20%
• Pre-collision 20%
• Hilbert-Schmidt Operator 20%
• Invariant Volume 20%
• Markov Transition Probability 20%
• Generalized Invariants 20%
• Stationary Probabilities 20%
• Self-adjoint Operator 20%
• Mass Potential 20%

Mathematics

• Markov Chain 100%
• Statistical Mechanics 66%
• Probability Distribution 33%
• Main Result 33%
• Transition Probability 33%
• Hilbert Space 33%
• Eigenvalue 33%
• Mass Ratio 33%
• Equilibrium Distribution 33%
• Equilibrium State 33%
• Boltzmann Equation 33%
• Cosine law 33%
• Hilbert-Schmidt Operator 33%
• Stationary Probability 33%
• Self-Adjoint Operator 33%
• Thermostatics 33%