Fluctuations in the Bose Gas with Attractive Boundary Conditions

Details Fluctuations in the Bose Gas with Attractive Boundary Conditions Fluctuations in the Bose Gas with Attractive Boundary Conditions

2001-11-06

arxiv.org/abs/math-ph/0111009v2

J. Stat. Phys. 108 (2002) 123-168

Physics

Mathematical Physics

42 pages, 5 figures

Scientific paper

In this paper limiting distribution functions of field and density fluctuations are explicitly and rigorously computed for the different phases of the Bose gas. Several Gaussian and non-Gaussian distribution functions are obtained and the dependence on boundary conditions is explicitly derived. The model under consideration is the free Bose gas subjected to attractive boundary conditions, such boundary conditions yield a gap in the spectrum. The presence of a spectral gap and the method of the coupled thermodynamic limits are the new aspects of this work, leading to new scaling exponents and new fluctuation distribution functions.

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