9-13 July 2012
Critical exponents and the extensive nature of statistical entropy
Presented by Dr. Trisha SALAGARAM on 12 Jul 2012 from 08:00 to 08:20
Type: Oral Presentation
Track: Track G - Theoretical and Computational Physics
In numerical studies of a system of <i>N</i> independent, distinguishable, non-interacting particles in the microcanonical ensemble, we explicitly show for the first time that the entropy per particle, s<sub><i>N</i></sub> , converges to a constant real number, s<sub>∞</sub>, 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 ( s<sub><i>N</i></sub> − s<sub>∞</sub> ) ∼ <i>N</i> <sup>−α</sup>, where α is the critical exponent. We derive thermodynamic quantities, such as temperature and chemical potential, etc. for finite systems of size <i>N</i>.