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searching for Correlation function (statistical mechanics) 65 found (78 total)

alternate case: correlation function (statistical mechanics)

Ursell function (933 words) [view diff] no match in snippet view article find links to article

In statistical mechanics, an Ursell function or connected correlation function, is a cumulant of a random variable. It can often be obtained by summing

Green–Kubo relations (1,991 words) [view diff] no match in snippet view article find links to article

{\displaystyle \gamma } in terms of the integral of the equilibrium time correlation function of the time derivative of a corresponding microscopic variable A

Radial distribution function (4,540 words) [view diff] no match in snippet view article find links to article

In statistical mechanics, the radial distribution function, (or pair correlation function) g ( r ) {\displaystyle g(r)} in a system of particles (atoms

Hypernetted-chain equation (688 words) [view diff] no match in snippet view article find links to article

Ornstein–Zernike equation which relates the direct correlation function to the total correlation function. It is commonly used in fluid theory to obtain e

Order and disorder (957 words) [view diff] no match in snippet view article find links to article

correlated behavior. This can be expressed as a correlation function, namely the spin-spin correlation function: G ( x , x ′ ) = ⟨ s ( x ) , s ( x ′ ) ⟩ .

Mermin–Wagner theorem (4,374 words) [view diff] no match in snippet view article find links to article

In quantum field theory and statistical mechanics, the Hohenberg–Mermin–Wagner theorem or Mermin–Wagner theorem (also known as Mermin–Wagner–Berezinskii

Partition function (mathematics) (3,384 words) [view diff] no match in snippet view article

is a generalization of the definition of a partition function in statistical mechanics. It is a special case of a normalizing constant in probability theory

Jerome K. Percus (221 words) [view diff] no match in snippet view article find links to article

he published with George J. Yevick a groundbreaking study on the statistical mechanics of classical liquids. They formulated an integral equation (Percus–Yevick

Percus–Yevick approximation (904 words) [view diff] no match in snippet view article find links to article

In statistical mechanics the Percus–Yevick approximation is a closure relation to solve the Ornstein–Zernike equation. It is also referred to as the Percus–Yevick

Fluctuation–dissipation theorem (4,520 words) [view diff] no match in snippet view article find links to article

particular direction. From this observation Einstein was able to use statistical mechanics to derive the Einstein–Smoluchowski relation D = μ k B T , {\displaystyle

Green's function (many-body theory) (4,547 words) [view diff] no match in snippet view article

function (or Green function) is sometimes used interchangeably with correlation function, but refers specifically to correlators of field operators or creation

Two-dimensional gas (1,119 words) [view diff] no match in snippet view article find links to article

multi-body systems rather than through the conventional methods of statistical mechanics. While this question appears intractable from a three-dimensional

Effective action (2,101 words) [view diff] no match in snippet view article find links to article

fields. These generating functionals also have applications in statistical mechanics and information theory, with slightly different factors of i {\displaystyle

Kirkwood–Buff solution theory (1,633 words) [view diff] no match in snippet view article find links to article

macroscopic (bulk) properties to microscopic (molecular) details. Using statistical mechanics, the KB theory derives thermodynamic quantities from pair correlation

Langevin equation (5,246 words) [view diff] no match in snippet view article find links to article

{\eta }}\left(t\right)} has a Gaussian probability distribution with correlation function ⟨ η i ( t ) η j ( t ′ ) ⟩ = 2 λ k B T δ i , j δ ( t − t ′ ) , {\displaystyle

Polymer physics (3,280 words) [view diff] no match in snippet view article find links to article

and modeling their effect requires the use of principles from statistical mechanics and dynamics. As a corollary, temperature strongly affects the physical

Effective field theory (1,526 words) [view diff] no match in snippet view article find links to article

underlying physical theory, such as a quantum field theory or a statistical mechanics model. An effective field theory includes the appropriate degrees

Mori-Zwanzig formalism (1,733 words) [view diff] no match in snippet view article find links to article

the observables that are orthogonal to the relevant variables. A correlation function is used as a scalar product, which is why the formalism can also

1/N expansion (758 words) [view diff] no match in snippet view article find links to article

In quantum field theory and statistical mechanics, the 1/N expansion (also known as the "large N" expansion) is a particular perturbative analysis of

Partition function (quantum field theory) (1,664 words) [view diff] no match in snippet view article

path integral formalism. They are the imaginary time versions of statistical mechanics partition functions, giving rise to a close connection between these

Maximum entropy spectral estimation (598 words) [view diff] no match in snippet view article find links to article

which corresponds to the concept of maximum entropy as used in both statistical mechanics and information theory, is maximally non-committal with regard to

Berezinskii–Kosterlitz–Thouless transition (2,225 words) [view diff] no match in snippet view article find links to article

finds a low-temperature quasi-ordered phase with a correlation function (see statistical mechanics) that decreases with the distance like a power, which

Universality class (2,194 words) [view diff] no match in snippet view article find links to article

In statistical mechanics, a universality class is a set of mathematical models which share a scale-invariant limit under renormalization group flow. While

Dynamical heterogeneity (482 words) [view diff] no match in snippet view article find links to article

picoseconds to seconds, minutes, or more. At high temperatures, the correlation function has a ballistic regime for very short times (when particles do not

Coulomb gas (907 words) [view diff] no match in snippet view article find links to article

minimal models. This comes from the similarity of the two-point correlation function of the free boson φ {\displaystyle \varphi } , ⟨ φ ( z , z ¯ ) φ

Feynman diagram (15,967 words) [view diff] no match in snippet view article find links to article

configuration. The Euclidean correlation function is just the same as the correlation function in statistics or statistical mechanics. The quantum mechanical

Solvent model (4,370 words) [view diff] no match in snippet view article find links to article

correlation function, accounts for the effects of a third particle in a system. The indirect correlation function is given as the direct correlation function

Coupling constant (2,848 words) [view diff] no match in snippet view article find links to article

Topological charge Tools Anomaly Background field method BRST quantization Correlation function Crossing Effective action Effective field theory Expectation value

Scale invariance (4,486 words) [view diff] no match in snippet view article find links to article

interactions does not depend on the energy of the particles involved. In statistical mechanics, scale invariance is a feature of phase transitions. The key observation

Transition path sampling (1,540 words) [view diff] no match in snippet view article find links to article

constant kAB for the transition from A to B is derived from the correlation function C ( t ) = ⟨ h A ( 0 ) h B ( t ) ⟩ ⟨ h A ⟩ {\displaystyle C(t)={\frac

Conformal field theory (7,037 words) [view diff] no match in snippet view article find links to article

important applications to condensed matter physics, statistical mechanics, quantum statistical mechanics, and string theory. Statistical and condensed matter

Path integral formulation (14,277 words) [view diff] no match in snippet view article find links to article

represents the transition amplitude (corresponding to the classical correlation function) as a weighted sum of all possible histories of the system from the

Salvatore Torquato (7,364 words) [view diff] no match in snippet view article find links to article

Princeton, New Jersey. Torquato's research work is centered in statistical mechanics and soft condensed matter theory. A common theme of Torquato’s research

Hyperuniformity (4,601 words) [view diff] no match in snippet view article find links to article

scales. Disordered hyperuniformity implies a long-ranged direct correlation function (the Ornstein–Zernike equation). In an equilibrium many-particle

Localization-protected quantum order (3,281 words) [view diff] no match in snippet view article find links to article

dynamical phenomenon which leads to the breakdown of equilibrium statistical mechanics in isolated many-body systems. Such systems never reach local thermal

Xi (letter) (1,154 words) [view diff] no match in snippet view article

Iribarren parameter. The initial mass function in astronomy. The correlation function in astronomy. Spatial frequency; also sometimes temporal frequency

Detrended fluctuation analysis (3,450 words) [view diff] no match in snippet view article find links to article

analysis. In the case of power-law decaying auto-correlations, the correlation function decays with an exponent γ {\displaystyle \gamma } : C ( L ) ∼ L −

Spin glass (4,932 words) [view diff] no match in snippet view article find links to article

of which was published in 1982. On the mathematical side, simple statistical mechanics models, inspired by real spin glasses, are widely studied and applied

Classical XY model (4,861 words) [view diff] no match in snippet view article find links to article

classical rotor (rotator) model or O(2) model) is a lattice model of statistical mechanics. In general, the XY model can be seen as a specialization of Stanley's

Phonon (6,999 words) [view diff] no match in snippet view article find links to article

position and momentum space.) Finally, using the position–position correlation function, it can be shown that phonons act as waves of lattice displacement

Hanbury Brown and Twiss effect (2,886 words) [view diff] no match in snippet view article find links to article

bosons was simply a manifestation of an effect already known in statistical mechanics. After a number of experiments, the whole physics community agreed

High-dimensional Ising model (6,317 words) [view diff] no match in snippet view article find links to article

fluctuating mode at wavenumber k links up lines carrying momentum k in a correlation function in pairs, with a factor of the inverse propagator. Under rescaling

Classical-map hypernetted-chain method (678 words) [view diff] no match in snippet view article find links to article

Groenveld; J. de Boer (1959). "New method for the calculation of the pair correlation function I". Physica. 25 (7–12): 792. Bibcode:1959Phy....25..792V. doi:10

Andrea Liu (824 words) [view diff] no match in snippet view article find links to article

repulsive supercooled liquids: The dynamics is encoded in the pair correlation function. Physical Review E 101, 010602 (2020). DOI:10.1103/PhysRevE.101.010602

Tsung-Dao Lee (2,165 words) [view diff] no match in snippet view article find links to article

field.[citation needed] Besides particle physics, Lee was active in statistical mechanics, astrophysics, hydrodynamics, many body system, solid state, and

Quantum vacuum state (2,659 words) [view diff] no match in snippet view article find links to article

Guggenheim, Edward A. (1965). Statistical Thermodynamics. A Version of Statistical Mechanics for Students of Physics and Chemistry, reprinted with corrections

Viacheslav Belyi (1,009 words) [view diff] no match in snippet view article find links to article

1103/PhysRevLett.88.255001 V.V. Belyi, Yu.A. Kukharenko, J. Wallenborn, Pair correlation function and non-linear kinetic equation for a spatially uniform polarizable

Structure of liquids and glasses (3,286 words) [view diff] no match in snippet view article find links to article

are most commonly used. The pair distribution function (or pair correlation function) of a material describes the probability of finding an atom at a

Worm-like chain (2,689 words) [view diff] no match in snippet view article find links to article

configuration of the undisturbed polymer. The polymer's orientation correlation function can then be solved for, and it follows an exponential decay with

Spontaneous symmetry breaking (3,845 words) [view diff] no match in snippet view article find links to article

Topological charge Tools Anomaly Background field method BRST quantization Correlation function Crossing Effective action Effective field theory Expectation value

Lieb–Robinson bounds (4,664 words) [view diff] no match in snippet view article find links to article

observable A {\displaystyle A} in a state Ω {\displaystyle \Omega } . The correlation function between two observables A {\displaystyle A} and B {\displaystyle

Reverse Monte Carlo (2,520 words) [view diff] no match in snippet view article find links to article

RMC modeling. Since the RMC method follows the normal rules of statistical mechanics, its final solution will be the one with the highest degree of disorder

High-entropy alloy (12,696 words) [view diff] no match in snippet view article find links to article

theory for multicomponent alloys, which evaluates the two-point correlation function, an atomic short-range order parameter, ab initio. The S ( 2 ) {\displaystyle

Colors of noise (3,597 words) [view diff] no match in snippet view article find links to article

Instead of using the lag(1) autocorrelation function the lag(m) correlation function is computed instead: R m = 1 N ∑ t = 1 N − m ( z t − z ¯ ) ∗ ( z

Casimir effect (8,105 words) [view diff] no match in snippet view article find links to article

Topological charge Tools Anomaly Background field method BRST quantization Correlation function Crossing Effective action Effective field theory Expectation value

Stationary process (3,206 words) [view diff] no match in snippet view article find links to article

linear, time-invariant (LTI) filters, it is helpful to think of the correlation function as a linear operator. Since it is a circulant operator (depends only

Catalog of articles in probability theory (3,026 words) [view diff] no match in snippet view article find links to article

moment / (1:R) Coefficient of variation / (1:R) Correlation / (2:R) Correlation function / (U:R) Covariance / (2F:R) (1:G) Covariance function / (U:R) Covariance

Path integrals in polymer science (7,086 words) [view diff] no match in snippet view article find links to article

solutions, and modeling their effect requires using principles from statistical mechanics and dynamics. The path integral approach falls in line with this

Lennard-Jones potential (10,677 words) [view diff] no match in snippet view article find links to article

theory for a supercooled binary Lennard-Jones mixture I: The van Hove correlation function". Physical Review E. 51 (5): 4626–4641. arXiv:cond-mat/9501102. Bibcode:1995PhRvE

Continuous spontaneous localization model (4,978 words) [view diff] no match in snippet view article find links to article

is considered, which is characterized by a non-trivial temporal correlation function f ( t ) {\displaystyle f(t)} . The effect can be quantified by a

Relativistic wave equations (3,478 words) [view diff] no match in snippet view article find links to article

Quantum chaos EPR paradox Density matrix Scattering theory Quantum statistical mechanics Quantum machine learning Scientists Aharonov Bell Bethe Blackett

Perturbation theory (quantum mechanics) (15,991 words) [view diff] no match in snippet view article

k-th order correction to the energy En to the k-point connected correlation function of the perturbation V in the state | n ( 0 ) ⟩ {\displaystyle |n^{(0)}\rangle

Renormalization (7,777 words) [view diff] no match in snippet view article find links to article

renormalization methods to the calculation of critical exponents in statistical mechanics, following Wilson's ideas (Kenneth Wilson was Nobel laureate 1982)

Symmetry in quantum mechanics (7,898 words) [view diff] no match in snippet view article find links to article

Topological charge Tools Anomaly Background field method BRST quantization Correlation function Crossing Effective action Effective field theory Expectation value

Zero-point energy (26,562 words) [view diff] no match in snippet view article find links to article

Topological charge Tools Anomaly Background field method BRST quantization Correlation function Crossing Effective action Effective field theory Expectation value