Statistical Physics: Course Outline
Statistical physics is a branch of physics that uses methods of probability theory and statistics, and particularly the mathematical tools for dealing with large populations and approximations, in solving physical problems.
- Introduction to statistical methods.
- Elementary statistical concepts and examples.
- The simple random walk problem in one dimension.
- General discussion of mean values.
- Calculation of mean values for the random walk problem.
- probability distribution for large N,
- Gaussian probability distributions.
- Probability distribution for large N.
- Statistical formulation of the mechanical problem.
- Specification of the state of a system.
- Statistical ensemble.
- Basic postulates.
- Probability calculations.
- Behavior of the density of states.
- Thermal interaction.
- mechanical interaction.
- General interaction.
- Quasi-static process.
- Quasi-static work done by pressure.
- Exact and inexact differentials.
- Statistical thermodynamics.
- Equilibrium conditions and constraints.
- Reversible and irreversible process.
- Distribution of energy between systems in equilibrium.
- The approach to thermal equilibrium.
E-Books (Full Text)
- Heat reservoirs.
- Sharpness of the probability distribution.
- Dependence of the density of states on the external parameters,
- Equilibrium between interacting systems,
- properties of the entropy,
- Thermodynamics laws and basic statistical relations and Statistical calculation of thermodynamic quantities.
- Macroscopic parameters and their measurement:
- Work and internal energy,
- Absolute temperature,
- Heat capacity and specific heat,
- Consequences of the absolute definition of entropy and Extensive and intensive parameters.
- Simple applications of macroscopic thermodynamics:
- Equation of state and internal energy,
- Specific heats,
- Adiabatic expansion or compression,
- Derivation of general relations,
- Summary of Maxwell’s relations and thermodynamics functions,
- Specific heats,
- Entropy and internal energy,
- Free expansion of a gas,
- Throttling process,
- Heat engines and refrigerators.