Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-12-23
Found.Phys.40:814-828,2010
Physics
Condensed Matter
Statistical Mechanics
14 pages, 2 figures
Scientific paper
10.1007/s10701-009-9363-0
Based on the q-deformed oscillator algebra, we study the behavior of the mean occupation number and its analogies with intermediate statistics and we obtain an expression in terms of an infinite continued fraction, thus clarifying successive approximations. In this framework, we study the thermostatistics of q-deformed bosons and fermions and show that thermodynamics can be built on the formalism of q-calculus. The entire structure of thermodynamics is preserved if ordinary derivatives are replaced by the use of an appropriate Jackson derivative and q-integral. Moreover, we derive the most important thermodynamic functions and we study the q-boson and q-fermion ideal gas in the thermodynamic limit.
Lavagno Andrea
Swamy Narayana P.
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