Statistical mechanics

phase transition in the two-dimensional (2-D) XY model

equation used to calculate the electromigration of ions in a fluid

ten-volume series of books covering theoretical physics that was initiated by Lev Landau and written in collaboration with his student Evgeny Lifshitz starting in the late 1930s

theorem

term

partial differential equation describing the time evolution of plasma

mathematical limit applied in statistical physics

assumption in the kinetic theory of gases

Predictability is the degree to which a correct prediction or forecast of a system's state can be made, either qualitatively or quantitatively.

in statistical mechanics

stochastic process associated with semimartingale processes such as Brownian motion

typical velocity of the thermal motion of particles

order at absolute zero characterized by robust ground state degeneracy, quantized non-Abelian geometric phases, anyonic excitations, and long-range entanglement

the increase in the total entropy of a compound system after mixing

Geometric construct

framework allowing the equations of hydrodynamics for a gas to be derived from the Boltzmann equation

scientific theory

physical quantity of ideal and quantum gases

consistency equation which was first introduced in the field of statistical mechanics

a theory that Lev Landau introduced in an attempt to formulate a general theory of continuous (i.e., second-order) phase transitions

Lattice model of polymer solutions

product of the Boltzmann constant and temperature

generalization of Boltzmann-Gibbs entropy

model in statistical mechanics generalizing the Ising model

number of microstates for a given macrostate of a thermodynamic system

material property

function of seven variables which gives the number of particles per unit volume in single-particle phase space

Contribution to the total energy caused by interactions between entities present in the system

equation relating transport coefficients to correlation functions

method for the separation of a set of signals in math and statistics

Measure of a system's order

a transformation that maps spin operators onto fermionic creation and annihilation operators

methods to calculate expectation values of physical observables of a quantum field theory at finite temperature

integral approximation method popular in condensed matter physics

discrete set of boolean variables

traffic simulation model

equation in statistical mechanics that relates free energy differences between two states and the irreversible work along an ensemble of trajectories joining the same states

model particles in statistical mechanics

variant of the Ising model

Collective excitation in a Fermi liquid

expansion coefficients in statistical mechanics

maximum or minimum value for physics concepts

portion of a system's entropy that is related to discrete representative positions of its constituent particles

concept in statistical mechanics

Statistical simulation method

numerical variational technique devised to obtain the low energy physics of quantum many-body systems with high accuracy

Fluid property

mixed state describing a system in thermal equilibrium

basic statistical model

particular perturbative analysis of quantum field theories

A non-linear stochastic partial differential equation