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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.
source: Describes / governs; target: Described / governed by
Authored annotation
sets phase coexistence
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.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
condensed_electronic_matter_to_phase_transition
Relation type
Emergent / collective behavior emergence
Direction
source → target
Endpoint roles
source: Gives rise collectively to; target: Emerges from
Authored annotation
collective material phase change
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
Wikipedia — Phase transition — Phase transition · encyclopedic reference · source ID wp-physics-phase-transition
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
thermo_limit_to_phase_transition
Relation type
Theory component theory-component
Direction
source → target
Endpoint roles
source: Contributes to; target: Contains theory component
Authored annotation
sharp equilibrium singularity
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.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
thermo_phase_transition_to_order_parameter
Relation type
State / property description state-description
Direction
source → target
Endpoint roles
source: Has state / property description; target: State / property description of
Authored annotation
phase-distinguishing quantity
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
Wikipedia — Phase transition — Phase transition · encyclopedic reference · source ID wp-physics-phase-transition
David Tong — Statistical Physics — Statistical Physics · University of Cambridge lecture notes · source ID tong-statistical-physics