Statistical mechanics is the application of statistics, which includes mathematical tools for dealing with large populations, to the field of Mechanics, which is concerned with the motion of particles or objects when subjected to a force. It provides a framework for relating the microscopic properties of individual atoms and molecules to the macroscopic or bulk properties of materials that can be observed in every day life, therefore explaining thermodynamics as a natural result of statistics and mechanics (classical and quantum). In particular, it can be used to calculate the thermodynamic properties of bulk materials from the spectroscopic data of individual molecules.

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• Specific models

Articles in category "Statistical mechanics"

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Boltzmann constant Boltzmann equation Bose gas Bose-Einstein statistics C Canonical ensemble Correlation function (statistical mechanics) Coupling constant Cutoff D Derivation of the partition function E Entropy Ergodic hypothesis F Fermi gas Fluctuation dissipation theorem Fluctuation theorem G Gas in a box Gas in a harmonic trap

G cont. Gibbs paradox Gibbs-Helmholtz equation Grand canonical ensemble Green-Kubo relations H Hard spheres Helmholtz free energy I Ising model J Jarzynski equality K Kosterlitz-Thouless transition L Langevin equation Liouville equation Liouville's theorem (Hamiltonian) Long-range order Loschmidt's paradox M Markov chain Monte Carlo Maxwell-Boltzmann distribution Mean field theory

M cont. Microcanonical ensemble Microstate (thermodynamics) Monte Carlo method N N-vector model O Order-disorder P Partition function (statistical mechanics) Philosophy of thermal and statistical physics Population inversion Potts model Q Quantum statistical mechanics R Renormalization group S S-duality Sackur-Tetrode equation Statistical mechanics Statistical physics V Virial expansion X XY model