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Exclusion Statistics Transformation and Ensemble Equivalence Tested From a Different Perspective | | Dragos-Victor Anghel
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16 Oct 2003 | | Subject: | Statistical Mechanics; Mesoscopic Systems and Quantum Hall Effect | cond-mat.stat-mech cond-mat.mes-hall | | Abstract: | The basic idea and main results of the ``exclusion statistics transformation’’ (EST) are introduced. Using EST, an ideal Fermi gas of general density of states is transformed into a Bose gas by preserving only the excitations in the system. The Bose gas is not ideal, and at low temperatures exhibits Bose-Einstein condensation, which is related to the Fermi condensation [D. V. Anghel, submitted to J. Phys. A: Math. Gen, cond-mat/0310248]. By emphasizing the excitations in the system and the collective behavior of the condensate, the bosonic description of the Fermi system may be better suited to describe Fermi systems at low temperatures. In the low temperature limit, the EST resembles the bosonisation technique. The existence of the condensate challenges the Fermi canonical-grandcanonical ensemble equivalence from a new point of view. | | Source: | arXiv, cond-mat/0310377 | | Services: | Forum | Review | PDF | Favorites | |
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