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A framework that combines microscopic states and dynamics with probability to calculate macroscopic averages, fluctuations, and thermodynamic behavior. It does not replace the microscopic laws with probability alone.
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Classical statistical mechanics specializes the microscopic state space and evolution to classical phase space and classical dynamics.
A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.
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Statistical mechanics supplies the ensemble, fluctuation, and phase-transition framework used throughout condensed-matter physics.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
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Equilibrium thermodynamics retains macroscopic variables while microscopic degrees of freedom are averaged, traced over, or encoded in equations of state and potentials. Thermodynamics also remains an autonomous phenomenological theory.
The target retains the degrees of freedom and interactions relevant below a stated scale or within a stated regime, while higher-energy or unresolved degrees of freedom from the source are integrated out, coarse-grained, or encoded in effective couplings.
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Statistical mechanics specifies a microscopic state space before assigning weights and computing macroscopic quantities.
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
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Nonequilibrium statistical mechanics specializes the statistical framework to relaxation, transport, driving, and steady states outside equilibrium.
A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.
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Quantum statistical mechanics specializes the framework to quantum states, density operators, and quantum exchange statistics.
A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.
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An ensemble is the probabilistic state description used to average observables over classical or quantum microscopic alternatives.
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
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The thermodynamic limit is the large-system regime used to define bulk densities, suppress relative fluctuations, and support sharp equilibrium singularities.
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
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