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Canonical static concept record

Canonical ensemble

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Summary

The equilibrium ensemble for a system exchanging energy with a reservoir at fixed temperature while its volume, particle number, and other chosen controls remain fixed.

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Incoming relations (arrows to this concept)

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Statistical ensembleCanonical ensemble

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

The canonical ensemble is the equilibrium ensemble for energy exchange with a temperature reservoir at fixed remaining controls.

How to interpret this relation type

The target is a member or subtype of the broader source class.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Canonical ensembleBoltzmann distribution

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Canonical microstate probabilities carry the Boltzmann weight eβEie^{-\beta E_i} divided by the canonical partition function.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources

Canonical ensembleStatistical partition function

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

The canonical partition function is the trace, sum, or phase-space integral of Boltzmann weights and normalizes the canonical distribution.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources