Speaker
Dr
Trisha Salagaram
(University of Pretoria)
Abstract content <br> (Max 300 words)
In numerical studies of a system of N independent, distinguishable, non-interacting particles in the microcanonical ensemble, we explicitly show for the first time that the entropy per particle, sN , converges to a constant real number, s∞, in the thermodynamic limit, independent of the single-particle spectrum. We show in a direct manner the extensive nature of entropy, and we demonstrate universal scaling behaviour for ( sN − s∞ ) ∼ N −α, where α is the critical exponent. We derive thermodynamic quantities, such as temperature and chemical potential, etc. for finite systems of size N.
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Primary author
Dr
Trisha Salagaram
(University of Pretoria)
Co-author
Prof.
Nithaya Chetty
(University of Pretoria)