Asymptotics of Brownian integrals and pressure: Bose-Einstein statistics |
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Authors: | Sandro Frigio Suren K Poghosyan |
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Institution: | (1) University of Camerino, Italy;(2) Institute of Mathematics, Armenian Academy of Sciences, Italy |
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Abstract: | The paper studies the asymptotics of the Brownian integrals with paths restricted to a bounded domain of ? v , when the domain is dilated to infinity. The framework is that of the Bose-Einstein statistics with paths observed within random time intervals which are integer multiplies of some fixed β > 0. The three first terms of the asymptotics are found explicitly via the functional integrals. In the case of a gas of interacting Brownian loops an expression for the volume term of the asymptotics of the log-partition function is found and the correction term is proved to by order be the boundary area of the domain. |
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Keywords: | Brownian integrals Bose gas Pressure |
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