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# 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.

## Course Outline

• 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.
• Temperature,

## Course Outline

• 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,
• Heat,
• Absolute temperature,
• Heat capacity and specific heat,
• Entropy,
• 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,