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Equilibrium thermodynamics

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Summary

The macroscopic theory of equilibrium states, state functions, reversible comparison paths, and constraints on processes. It is largely insensitive to microscopic constitution but correspondingly omits microscopic fluctuations and detailed relaxation dynamics.

Record metadata

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

First law of thermodynamicsEquilibrium thermodynamics

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

Authored explanation

The first law supplies the energy-balance constraint relating internal-energy change to heat and work transfers under a stated sign convention.

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

Second law of thermodynamicsEquilibrium thermodynamics

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

Authored explanation

The second law constrains spontaneous processes and cyclic engines through entropy inequalities or equivalent Kelvin–Planck and Clausius statements.

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

Statistical mechanicsEquilibrium thermodynamics

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

Authored explanation

Equilibrium thermodynamics retains macroscopic variables while microscopic degrees of freedom are averaged, traced over, or encoded in equations of state and potentials. Thermodynamics also remains an autonomous phenomenological theory.

How to interpret this relation type

The target retains the degrees of freedom and interactions relevant below a stated scale or within a stated regime, while higher-energy or unresolved degrees of freedom from the source are integrated out, coarse-grained, or encoded in effective couplings.

Relation sources

Zeroth law of thermodynamicsEquilibrium thermodynamics

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

Authored explanation

The zeroth law supplies the equilibrium relation that makes empirical temperature comparison consistent.

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.

Equilibrium thermodynamicsChemical thermodynamics

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

Authored explanation

Chemical thermodynamics specializes equilibrium thermodynamics by treating component amounts, reactions, mixing, phases, chemical potentials, and standard states explicitly.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

Equilibrium thermodynamicsCondensed-matter physics

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

Authored explanation

Equilibrium thermodynamics supplies state variables, potentials, stability criteria, and phase coexistence conditions for macroscopic materials.

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

Equilibrium thermodynamicsHelmholtz free energy

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

Authored explanation

The Legendre transform F=UTSF=U-TS is the thermodynamic potential natural to fixed temperature, volume, and particle number.

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

Equilibrium thermodynamicsTemperature

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

Authored explanation

Temperature is an intensive coordinate on equilibrium states and equalizes across a diathermal contact at mutual equilibrium.

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

Equilibrium thermodynamicsThermodynamic entropy

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

Authored explanation

Equilibrium thermodynamics introduces entropy as a state function constrained by reversible heat relations and the second law.

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

Equilibrium thermodynamicsThermodynamic system

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

Authored explanation

Equilibrium thermodynamics describes admissible equilibrium states and process constraints for macroscopic systems without specifying their microscopic constitution.

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