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DefinitionDefinition: AI-adaptedProof: Not applicablePipeline-generatedverified 2026-10-15 (gpt-6-luna, gpt-6.1-sol, and delegated Codex review/repair agents; see completed run evidence)
How statement and proof provenance work

The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.

  • Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
  • AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
  • AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.

These labels describe origin, not correctness: citations and verification chips remain separate evidence.

Thermodynamic systems and permitted exchanges

Physical scope

Boundary and exchange classifications for the nonrelativistic macroscopic thermodynamic framework; no energy-balance law is asserted here.

Definition

A thermodynamic system s is a model-selected body or collection of bodies together with a specified outer boundary ∂s. The boundary separates the system from its environment for the purpose of classifying transfers; it need not be a material wall. A compound system has named subsystems inside one outer boundary. Transfers between its subsystems are internal to the compound; only transfers across ∂s are external.

The model specifies which transfers across ∂s are permitted. A system is closed when no matter crosses its outer boundary; energy may cross. A system is open when only the named matter species and other named transfer channels may cross its boundary. A system or compound is isolated when no matter or energy crosses its outer boundary. These terms classify the declared model boundary, not the accuracy with which a real apparatus approximates it.

This boundary classification alone asserts neither an energy-balance law nor equilibration.

Dependency tree · 0 levels

Nothing. This result depends on no other item in the library.

Sources