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Phase transition

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Summary

A change between macroscopic phases as control parameters vary. In equilibrium statistical mechanics an ideal sharp transition is represented by nonanalytic thermodynamic behavior in the thermodynamic limit; finite systems display rounded precursors.

Record metadata

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Chemical potentialPhase transition

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

Authored explanation

At equilibrium, chemical potentials of transferable components satisfy phase-coexistence conditions subject to mechanical and thermal constraints.

How to interpret this relation type

A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.

Relation sources

Electronic condensed-matter systemPhase transition

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

Authored explanation

Many-body interactions and entropy can collectively produce structural, magnetic, superconducting, and other phase transitions as external controls vary.

How to interpret this relation type

The target is a collective, organizational, or scale-dependent phenomenon of the source constituents and interactions; it is not a mere list or classical sum of constituents.

Relation sources

Thermodynamic limitPhase transition

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

Authored explanation

A sharp nonanalytic equilibrium phase transition requires an infinite-system limit under the usual regularity assumptions; finite systems can display rapid but analytic crossover and finite-size scaling.

How to interpret this relation type

The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Phase transitionCritical phenomena

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

Authored explanation

Critical phenomena are the scale-invariant fluctuation behavior associated with continuous phase transitions near a critical point.

How to interpret this relation type

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

Relation sources

Phase transitionOrder parameter

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

Authored explanation

For transitions admitting an order-parameter description, its equilibrium value distinguishes phases and often encodes spontaneous symmetry breaking; some topological and other transitions require different descriptors.

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