LINEAR PROPERTY OF lnZ(μ,V,T): AN ANALYSIS FROM THE BASIC PRINCIPLES OF STATISTICAL MECHANICS

The basic postulates of statistical mechanics and the ensemble theory, especially, the grand canonical properties are reviewed in a concise way. Division of a grand canonical system into a finite number of sub-systems of equal volume shows that the natural logarithm of the grand canonical partition function is linear in , the volume of the grand canonical system under consideration. We do this from the basic knowledge of statistical mechanics and then conclude with statistical interpretation.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-15
DOI
https://doi.org/10.5281/zenodo.17332769
Primary Topic
Statistical Mechanics and Entropy
Type
article
Field-Weighted Citation Impact
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article

LINEAR PROPERTY OF lnZ(μ,V,T): AN ANALYSIS FROM THE BASIC PRINCIPLES OF STATISTICAL MECHANICS

Zenodo (CERN European Organization for Nuclear Research)
Statistical Mechanics and Entropy
article

LINEAR PROPERTY OF lnZ(μ,V,T): AN ANALYSIS FROM THE BASIC PRINCIPLES OF STATISTICAL MECHANICS

article en

Abstract

The basic postulates of statistical mechanics and the ensemble theory, especially, the grand canonical properties are reviewed in a concise way. Division of a grand canonical system into a finite number of sub-systems of equal volume shows that the natural logarithm of the grand canonical partition function is linear in , the volume of the grand canonical system under consideration. We do this from the basic knowledge of statistical mechanics and then conclude with statistical interpretation.

Zenodo (CERN European Organization for Nuclear Research)
National Institute of Technology Raipur (IN)
Openalex Percentile: Top 49%
Statistical Mechanics and Entropy
DOIOpen Access PDFOpenAlex
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LINEAR PROPERTY OF lnZ(μ,V,T): AN ANALYSIS FROM THE BASIC PRINCIPLES OF STATISTICAL MECHANICS · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS