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Thermodynamic of a Bose-Einstein Condensation Using a Global Variable Approximation
February 12, 201912:00 pm – 1:00 pm (CDT)

Thermodynamic of a Bose-Einstein Condensation Using a Global Variable Approximation


Vanderlei S. Bagnato (University of Sao Paulo, Brazil Hagler Institute for Advanced Study and Texas A&M University)


Vlad Yakovlev



Mitchell Physics Building

College Station, Texas 77843-4242

Event Details

The field of quantum gases has evolved very rapidly in recent years, exceeding the expectation of many researchers. Experiments are mostly done with trapped samples, where atoms present an inhomogeneous density distribution. In such situation quantities like pressure and volume, normally easy interpreted inhomogeneous systems, find difficulties to be applied. The determination of those thermodynamic variables are achieved using the local density approximation (LDA). Alternatively, one can consider the Global behavior of the system, defining a new approximation called Global Variables (GV). In this approximation, a single pressure and a single volume are assigned to the system, and their relations constitute an overall equation of state. While the local density approximation has been proposed by, the global variable has been explored in a few published papers. In this presentation we consider the BEC transition observed from the Global Variable approach. We start presenting the fundaments of the methods and applications to the determination of compressibility, State Equation, Thermal expansion coefficient, Heat capacity. Finally, a treatment to analyze the critical exponent is performed.

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