Statistical Mechanics

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9 domain-specific abstractions whose origin domain is Statistical Mechanics.

• Classical XY model — A lattice spin model whose sites carry planar unit vectors coupled by orientation-dependent interaction energy.
• Generalized hydrodynamics — A hydrodynamic theory for integrable many-body systems that evolves local quasiparticle distributions under infinitely many conservation laws.
• Ising model — A statistical-mechanical model of binary spins on a graph whose energy rewards or penalizes neighboring alignment and external-field orientation, exhibiting collective order and phase transitions.
• Kaniadakis Distribution — A family of probability laws built from the kappa-deformed exponential, retaining the ordinary exponential limit while producing power-law tails.
• KTHNY theory — A theory of two-dimensional melting through two continuous transitions driven first by dislocation and then disclination unbinding, with an intermediate hexatic phase.
• Maximum entropy thermodynamics — An inference-centered formulation of equilibrium thermodynamics that selects the probability distribution of greatest entropy subject to known macroscopic constraints.
• Maxwell–Boltzmann distribution — Give the equilibrium probability density of speeds for classical, nonrelativistic, noninteracting particles in an isotropic ideal gas, with scale fixed by mass and temperature.
• Monte Carlo method in statistical mechanics — The use of stochastic sampling, commonly Markov-chain transitions, to estimate equilibrium or path-ensemble observables from high-dimensional statistical-mechanical distributions.
• Potts model — A lattice model whose sites take one of q states and whose interaction energy rewards or penalizes neighboring sites that occupy the same state.