Ryabov V. Principles of Statistical Physics...Num. Modeling 2018

Textbook in PDF format

This advanced level textbook approaches the world of statistical physics from thepoint of view of simple models suitable for numerical realization. Theory is presented and backed up withsimulations results and provisions made for students to develop and implementtheir own simulations to transfer the theory of molecular simulations intocomputational models. The text is further extended with videoresults and includes numerous problems with solutions.
Phase space
Evolution of the phase space distribution function
Equilibrium distributions
Ensemble of free particles
Ensemble of interacting particles
Temperature
Pressure, stress and tension
Entropy
Gibbs distribution
Isothermal ensemble
Free energy
Grand canonical ensemble
Isobaric ensembles
Thermodynamic potentials
Finite ensembles and thermodynamics
Equation-of-state for a non-ideal gas
Processes in an ideal gas
Processes in a non-ideal gas
Reaction coordinate
Structural phase transitions
Phase transitions with change of aggregate state
Appendix A. Details of the calculation algorithms