Uniform upper bounds (and thermodynamic limit) for the correlation functions of symmetric Coulomb-type systems

doi:https://doi.org/10.1007/BF01054426

Title: Uniform upper bounds (and thermodynamic limit) for the correlation functions of symmetric Coulomb-type systems

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Abstract

Uniform upper bounds are proven for the correlation functions in the strictly charge-neutral canonical and grand canonical ensembles for charge-symmetric two-component systems. For the grand canonical ensemble the increase of the correlation functions along the thermodynamic-limit sequence is shown as well, implying the existence of the states. The particles have bounded pair interactions of positive type. Both classical and quantum systems with Boltzmann statistics are considered. Coulomb systems with regularized interactions are included as a special case.

Authors:

Kiessling, M K.H. ^[1]

New York Univ., New York (United States)

Publication Date:: 1992-03-01

OSTI Identifier:: 6912825

DOE Contract Number:: FG02-86ER53223

Resource Type:: Journal Article

Journal Name:: Journal of Statistical Physics; (United States)

Additional Journal Information:: Journal Volume: 66:5-6; Journal ID: ISSN 0022-4715

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COULOMB FIELD; CORRELATION FUNCTIONS; BOLTZMANN STATISTICS; BOSON-FERMION SYMMETRY; CLASSICAL MECHANICS; QUANTUM MECHANICS; THERMODYNAMICS; ELECTRIC FIELDS; FUNCTIONS; MECHANICS; SYMMETRY; 661300* - Other Aspects of Physical Science- (1992-); 662100 - General Theory of Particles & Fields- (1992-)

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                    Kiessling, M K.H. Uniform upper bounds (and thermodynamic limit) for the correlation functions of symmetric Coulomb-type systems.  United States: N. p., 1992. 
        Web.  doi:10.1007/BF01054426.

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                    Kiessling, M K.H. Uniform upper bounds (and thermodynamic limit) for the correlation functions of symmetric Coulomb-type systems.  United States.  https://doi.org/10.1007/BF01054426

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                    Kiessling, M K.H. Sun .  
        "Uniform upper bounds (and thermodynamic limit) for the correlation functions of symmetric Coulomb-type systems".  United States.  https://doi.org/10.1007/BF01054426.

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@article{osti_6912825,

  title        = {Uniform upper bounds (and thermodynamic limit) for the correlation functions of symmetric Coulomb-type systems},

  author       = {Kiessling, M K.H.},

  abstractNote = {Uniform upper bounds are proven for the correlation functions in the strictly charge-neutral canonical and grand canonical ensembles for charge-symmetric two-component systems. For the grand canonical ensemble the increase of the correlation functions along the thermodynamic-limit sequence is shown as well, implying the existence of the states. The particles have bounded pair interactions of positive type. Both classical and quantum systems with Boltzmann statistics are considered. Coulomb systems with regularized interactions are included as a special case.},

  doi          = {10.1007/BF01054426},

  url          = {https://www.osti.gov/biblio/6912825},
  journal      = {Journal of Statistical Physics; (United States)},

  issn         = {0022-4715},

  number       = ,

  volume       = 66:5-6,

  place        = {United States},

  year         = {1992},

  month        = {3}

}

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https://doi.org/10.1007/BF01054426

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