Classical fluids of negative heat capacity

Landsberg, P T; Woodard, R P

doi:10.2172/10177878

Title: Classical fluids of negative heat capacity

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Abstract

It is shown that new parameters X can be defined such that the heat capacity C{sub X} {equivalent_to} T({partial_derivative}S/{partial_derivative}T)X is negative, even when the canonical ensemble (i.e. at fixed T = ({partial_derivative}U/{partial_derivative}S) and Y {ne} X) is stable. As examples we treat black body radiation and general gas systems with nonsingular {kappa}{sub T}. For the case of a simple ideal gas we even exhibit an apparatus which enforces a constraint X(p,V) = const. that makes C{sub X} < 0. Since it is possible to invent constraints for which canonically stable systems have negative heat capacity we speculate that it may also be possible to infer the statistical mechanics of canonically unstable systems - for which even the traditional heat capacities are negative - by imposing constraints that stabilize the associated, inoncanonical ensembles.

Authors:

Landsberg, P T ^[1]; Woodard, R P ^[2]

Southampton Univ., (United Kingdom). Faculty of Mathematical Studies
Florida Univ., Gainesville, FL (United States). Dept. of Physics

Publication Date:: Mon Jun 01 00:00:00 EDT 1992

Research Org.:: Florida Univ., Gainesville, FL (United States). Dept. of Physics

Sponsoring Org.:: USDOE, Washington, DC (United States)

OSTI Identifier:: 10177878

Report Number(s):: DOE/ER/40272-166; UFIFT-HEP-92-18
ON: DE92040507

DOE Contract Number:: FG05-86ER40272

Resource Type:: Technical Report

Resource Relation:: Other Information: PBD: Jun 1992

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FLUIDS; SPECIFIC HEAT; STATISTICAL MECHANICS; PARTITION FUNCTIONS; BLACK HOLES; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE

Citation Formats


                    Landsberg, P T, and Woodard, R P. Classical fluids of negative heat capacity.  United States: N. p., 1992. 
        Web.  doi:10.2172/10177878.

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                    Landsberg, P T, & Woodard, R P. Classical fluids of negative heat capacity.  United States.  https://doi.org/10.2172/10177878

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                    Landsberg, P T, and Woodard, R P. 1992.  
        "Classical fluids of negative heat capacity".  United States.  https://doi.org/10.2172/10177878.  https://www.osti.gov/servlets/purl/10177878.

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@article{osti_10177878,

  title        = {Classical fluids of negative heat capacity},

  author       = {Landsberg, P T and Woodard, R P},

  abstractNote = {It is shown that new parameters X can be defined such that the heat capacity C{sub X} {equivalent_to} T({partial_derivative}S/{partial_derivative}T)X is negative, even when the canonical ensemble (i.e. at fixed T = ({partial_derivative}U/{partial_derivative}S) and Y {ne} X) is stable. As examples we treat black body radiation and general gas systems with nonsingular {kappa}{sub T}. For the case of a simple ideal gas we even exhibit an apparatus which enforces a constraint X(p,V) = const. that makes C{sub X} < 0. Since it is possible to invent constraints for which canonically stable systems have negative heat capacity we speculate that it may also be possible to infer the statistical mechanics of canonically unstable systems - for which even the traditional heat capacities are negative - by imposing constraints that stabilize the associated, inoncanonical ensembles.},

  doi          = {10.2172/10177878},

  url          = {https://www.osti.gov/biblio/10177878},
  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {Mon Jun 01 00:00:00 EDT 1992},

  month        = {Mon Jun 01 00:00:00 EDT 1992}

}

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