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The limit in which particle number and volume grow without bound while intensive densities remain fixed. In conventional short-range equilibrium systems it suppresses relative bulk fluctuations and permits sharp nonanalytic phase transitions; ordinary finite canonical systems with regular Hamiltonians instead have analytic partition functions.
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This is an authored directed relation from the source endpoint to the target endpoint.
The thermodynamic limit is the large-system regime used to define bulk densities, suppress relative fluctuations, and support sharp equilibrium singularities.
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
wp-physics-thermodynamic-limitwp-physics-statistical-mechanicstong-statistical-physicsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
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.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
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