On the representations of the canonical partition function and the helmotz free energy

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Abstract

In statistical mechanics, the grand canonical partition function (GCPF) applies to a grand canonical ensemble, in which the system can exchange both heat and particles with the environment at fixed temperature. In this paper we prove a graphical representation of the GCPF. The Helmotz free energy will be given as well.

Original languageEnglish
Pages (from-to)8567-8570
Number of pages4
JournalJournal of Computational and Theoretical Nanoscience
Volume13
Issue number11
DOIs
StatePublished - 2016

Bibliographical note

Publisher Copyright:
© 2016 American Scientific Publishers All rights reserved.

Keywords

  • Canonical partition function
  • Helmotz free energy
  • Stochastic differential equations
  • Trees

ASJC Scopus subject areas

  • General Chemistry
  • General Materials Science
  • Condensed Matter Physics
  • Computational Mathematics
  • Electrical and Electronic Engineering

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