Ensemble (mathematical physics)

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Representations

Probability distribution Von Neumann Complete set of commuting observables Phase space Operationally

19 related topics

Ensembles in statistics

Gibbs measure Principle of maximum entropy Linguistics Robotics Principle of locality

12 related topics

Ensemble average

Mean Ensemble Thermodynamic limit Thermal equilibrium Thermodynamic beta

10 related topics

Physical considerations

Quantum statistical mechanics Microscopic state Macroscopic Partition function Sampled

9 related topics

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Map overview Semantic statistics

Nodes76

Edges75

Triples10

Avg. degree1.97

Density0.026316

Components1

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Important terminology

ensemble system statistical space phase mechanics physical ensembles displaystyle number particles systems canonical quantum state function probability density equilibrium example

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
particle numbers N1	instance of	then it is a probability distribution over an extended phase space that includes further variables	0.80	text
entropy	instance of	the value of h influences the offsets of quantities	0.80	text
chemical potential	instance of	the value of h influences the offsets of quantities	0.80	text
and so it is important to be consistent with the value of h when comparing different systems.Correcting overcounting in phase spaceTypically	instance of	the value of h influences the offsets of quantities	0.80	text
the phase space contains duplicates of the same physical state in multiple distinct locations	instance of	the value of h influences the offsets of quantities	0.80	text
numbers of particles	instance of	C does vary strongly with discrete variables	0.80	text
and so it must be applied before summing over particle numbers.As mentioned above	instance of	C does vary strongly with discrete variables	0.80	text
the classic example of this overcounting is for a fluid system containing various kinds of particles	instance of	C does vary strongly with discrete variables	0.80	text
where any two particles of the same kind are indistinguishable	instance of	C does vary strongly with discrete variables	0.80	text
exchangeable	instance of	C does vary strongly with discrete variables	0.80	text

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Representations

Ensembles in statistics

Ensemble average

Physical considerations

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Overview

Physical considerations

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Representations

Ensembles in statistics

Ensemble average

Operational interpretation

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