Linked from

The 90 pages that link to Statistical mechanics, each with the reason it gives.

• TemperatureNarrower topic: It derives temperature from how energy is distributed among microscopic states.

• James Clerk MaxwellNarrower topic: Maxwell’s molecular statistics helped establish this way of explaining thermodynamic behavior.

• ThermodynamicsNarrower topic: It explains thermodynamic laws in terms of molecular and atomic behavior.

• Classical mechanicsNarrower topic: It derives thermodynamic behavior from the mechanics of large collections of particles.

• Thermodynamic equilibriumNarrower topic: It connects equilibrium thermodynamics to the distribution of molecular states.

• Phase spaceNarrower topic: It uses distributions over phase space to calculate equilibrium properties.

• Thermal equilibriumNarrower topic: It connects equilibrium's stable macroscopic properties to microscopic particle behavior.

• Ludwig BoltzmannNarrower topic: Boltzmann helped establish this field by deriving bulk behavior from molecular statistics.

• Boltzmann distributionNarrower topic: The Boltzmann distribution is a central equilibrium result within this field.

• Transition state theoryNarrower topic: Its ensemble and partition-function methods underpin the theory’s rate calculation.

• Internal energyNarrower topic: It explains how microscopic energies produce thermodynamic internal energy.

• Thermal energyNarrower topic: It links particle-level energy distributions to bulk thermal properties.

• Configuration spaceNarrower topic: Particle configurations provide the state spaces over which equilibrium quantities are calculated.

• Equipartition theoremNarrower topic: Equipartition is a statistical-mechanical bridge from energy terms to heat capacity.

• Ising modelNarrower topic: The Ising model is a standard bridge from local spin rules to bulk phases.

• Chemical thermodynamicsNarrower topic: It explains the molecular origins of thermodynamic quantities used in chemical predictions.

• Computational chemistryNarrower topic: It turns molecular simulations into predictions of temperature-dependent observables.

• Maxwell–Boltzmann distributionNarrower topic: The distribution is a classical statistical-mechanical result for equilibrium particles.

• Lev LandauNarrower topic: Landau’s theories link thermodynamic phases to microscopic physical systems.

• Rudolf ClausiusNarrower topic: Later accounts connected Clausius's entropy to microscopic probabilities and molecular motion.

• Boltzmann equationNarrower topic: The equation applies statistical reasoning to the dynamics of gas particles.

• Fluctuation–dissipation theoremNarrower topic: Its equilibrium ensembles define the fluctuations used in the theorem.

• Thermodynamic limitNarrower topic: The thermodynamic limit connects statistical ensembles to macroscopic thermodynamics.

• Arrow of timeNarrower topic: It explains how overwhelmingly probable entropy growth can produce macroscopic irreversibility.

• Ergodic hypothesisNarrower topic: It often substitutes ensemble predictions for measurements collected over time.

• Peter DebyeNarrower topic: His theories used microscopic motions to account for measurable thermal and electrical properties.

• Thermal fluctuationsNarrower topic: It connects random particle motion to fluctuations in observable quantities.

• Isolated systemNarrower topic: It predicts isolated-system behavior from the possible microscopic states.

• Large deviation theoryNarrower topic: Rate functions often act as entropy costs for macroscopic fluctuations in physical systems.

• Maxwell's demonNarrower topic: It explains how reversible molecular dynamics can produce the statistical second law challenged by the demon.

• Heat death of the universeNarrower topic: It clarifies why high-entropy states dominate the proposed cosmic future.

• Loschmidt's paradoxNarrower topic: The paradox exposed the assumptions needed to connect its reversible mechanics with irreversible thermodynamics.

• Boltzmann brainNarrower topic: It supplies the probability rules used to assess spontaneous observer formation.

• Coarse-grainingNarrower topic: Coarse-graining often bridges microscopic states and macroscopic thermodynamic descriptions.

• Mermin–Wagner theoremNarrower topic: The theorem is a general constraint on equilibrium phases in this framework.

• Active matterNarrower topic: Active matter borrows its statistical tools while often violating their equilibrium assumptions.

• Equilibrium thermodynamicsNarrower topic: It can provide microscopic explanations for equilibrium relations that this framework takes as macroscopic laws.

• Gibbs paradoxNarrower topic: The paradox arises when microscopic arrangements are translated into thermodynamic entropy.

• Linear response theoryNarrower topic: Linear response often derives predictions from equilibrium statistical ensembles.

• Boltzmann's entropy formulaNarrower topic: It provides the probabilistic bridge behind Boltzmann's relation.

• Clausius theoremNarrower topic: It provides a microscopic account of entropy beyond the theorem’s macroscopic statement.

• Lattice modelNarrower topic: Lattice models apply statistical mechanics to discrete arrangements of interacting variables.

• Paul EhrenfestNarrower topic: Ehrenfest helped clarify its foundations and the assumptions connecting microscopic motion to thermodynamics.

• Cavity methodNarrower topic: The method originated as a way to estimate thermodynamic behavior in many-body systems.

• Classical fluidNarrower topic: It derives classical-fluid properties from ensembles of molecules.

• Bohr–van Leeuwen theoremNarrower topic: The theorem is a statement about what equilibrium statistical mechanics permits in the classical limit.

• Classical spin modelsNarrower topic: Classical spin models use its ensemble and thermodynamic framework.

• Disordered systemsNarrower topic: It translates ensembles of irregular configurations into measurable bulk behavior.

• Entropy as an arrow of timeNarrower topic: It explains entropy increase through the relative abundance of higher-entropy states.

• Mean-field and cluster methodsNarrower topic: Mean-field and cluster approximations estimate macroscopic behavior from statistical-mechanical models.