Statistical Mechanics: An Advanced Course with Problems and Solutions
This book provides a series of concise lectures on the fundamental theories of statistical mechanics, carefully chosen examples and a number of problems with complete solutions.
Modern physics has opened the way for a thorough examination of infra-structure of nature and understanding of the properties of matter from an atomistic point of view. Statistical mechanics is an essential bridge between the laws of nature on a microscopic scale and the macroscopic behaviour of matter. A good training in statistical mechanics thus provides a basis for modern physics and is indispensable to any student in physics, chemistry, biophysics and engineering sciences who wishes to work in these rapidly developing scientific and technological fields.
The collection of examples and problems is comprehensive. The problems are grouped in order of increasing difficulty.
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PRINCIPLES OF STATISTICAL MECHANICS
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approximation assumed average Boltzmann Boltzmann equation calculate canonical distribution chemical potential coefficient collision condition conduction band considered constant coordinates corresponding crystal defined degeneracy degrees of freedom denoted density matrix derived determined distribution function donor level energy levels entropy equal equation expression Fermi gas Fermi potential filled band frequency gas molecules given grand partition function Hamiltonian harmonic oscillator heat capacity Helmholtz free energy Hence ideal gas integral interaction internal energy lattice low temperatures magnetic field mass mean microscopic molecular field molecules momentum motion Note number density number of particles obtains partition function phase space pressure probability quantum mechanics relation respectively rotational rotational partition function sinh solution to example specific heat spin statistical mechanics Stirling's formula sublattice Substituting summation term theorem theory thermal equilibrium total number transformation unit volume velocity vibration wave zero