Knowra Statistical mechanics Statistical mechanics Statistical mechanics uses probability to connect the microscopic states of many-particle systems with observable macroscopic properties such as temperature and pressure.
Microstate : A complete specification of the microscopic configuration of a physical system. Statistical mechanics assigns probabilities to the microscopic configurations compatible with macroscopic constraints.
Thermodynamics : The study of heat, work, energy, entropy, and equilibrium at macroscopic scales. Statistical mechanics supplies a microscopic foundation for thermodynamic laws.
Daniel Bernoulli : An eighteenth-century mathematician and physicist who developed early kinetic explanations of gas pressure. His kinetic account connected gas pressure to the motion of unseen particles.
Phase transition : A change between distinct macroscopic phases of matter, often marked by nonanalytic behavior in thermodynamic quantities. Collective microscopic interactions produce abrupt or critical changes in macroscopic properties.
Microcanonical ensemble : An ensemble describing an isolated system with fixed energy, volume, and particle number. It treats energy as exactly fixed rather than allowing exchange with a heat bath.
Statistical ensemble : A probability distribution over possible microscopic states of systems under specified conditions. Ensembles encode which states are possible and how likely each state is.
Probability theory : The mathematical study of random events and the distributions governing their outcomes. Its rules provide the language for assigning likelihoods to microscopic states.
James Clerk Maxwell : A Scottish physicist whose work unified electromagnetism and advanced the kinetic theory of gases. His molecular speed distribution made statistical descriptions of gases mathematically precise.
Ising model : A mathematical model of interacting binary spins on a lattice. It provides a tractable setting for studying magnetism and phase transitions.
Canonical ensemble : An ensemble describing systems at fixed temperature, volume, and particle number, with fluctuating energy. It is the standard alternative to the isolated-system microcanonical description.
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