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Statistical Physics

Statistical Physics

PHYS3506 3 hours

Statistical Physics

The course will give the new mathematical treatment based on the concept of the probability and statistical mechanics to measure microscopic properties of the system to calculate the dependence of the macroscopic properties of a system on thermodynamic variables.
Statistical thermodynamics
• Introduction
• Energy States and energy levels
• Macro states and microstates
• Thermodynamic probability
• The Bose-Einstein statistics
• The Fermi-Dirac statistics
• The Maxwell Boltzmann statistics
• The statistical interpretation of entropy
• The Bose-Einstein distribution function
• The Fermi-Dirac distribution functions
• The classical distribution function
• comparison of distribution functions for indistinguishable particles
• The Maxwell-Boltzmann distribution function
• The partition function
• Thermodynamic properties of a system
Applications of statistics to gases
• The monatomic ideal gas,
• The distribution of molecular velocities
• Experimental verification of the Maxwell-Boltzmann speed distribution- Molecular beams
• Ideal gas in a gravitational field
• The principle of equipartition of energy
• The quantized linear oscillator
• Specific heat capacity of a diatomic gas.
Applications of quantum statistics to other systems
• The Einstein theory of the specific heat capacity of a solid
• The Debye theory of the specific heat capacity of a solid
• Black body radiation,
• Para-magnetism
• Negative temperatures
• The electron gas.