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Finite size effects in canonical Fermi systems

Dragoş-Victor Anghel

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I investigate the thermodynamic equivalence between finite systems of constant density of states below the Bose–Einstein condensation temperature. I show that in order to preserve the equivalence, a phenomenon called Fermi condensation has to be taken into account. This phenomenon leads to a correction of the intensive parameters of the Fermi gas and of the Fermi distribution in canonical Fermi systems at low temperatures.


PACS

05.30.Fk Fermion systems and electron gas

02.50.-r Probability theory, stochastic processes, and statistics

05.70.-a Thermodynamics

MSC

82B30 Statistical thermodynamics (See also 80-XX)

82B10 Quantum equilibrium statistical mechanics (general)

60Exx Distribution theory (See also 62Exx, 62Hxx)

Subjects

Quantum gases, liquids and solids

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 18 (5 May 2006)

Received 25 January 2006

Published 19 April 2006



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