• Aug 14 2012

    WITS Node Seminar: Prof FG Scholtz (NITheP Stellenbosch Node)

    Good morning All,

    The National Institute for Theoretical Physics, and the Centre for Theoretical Physics, School of Physics, would like to invite to its coming talk in the theory seminar series, entitled:

    "The entropy of dense non-commutative fermion gases"

    to be presented by Prof F G Scholtz (National Institute for Theoretical Physics)

    Abstract: We investigate the properties of two- and three-dimensional non-commutative fermion gases with fixed total z-component of angular momentum, $J_z$, and at high density for the simplest form of non-commutativity involving constant spatial commutators. Analytic expressions for the entropy and pressure are found. The entropy exhibits non-extensive behaviour while the pressure reveals the presence of incompressibility in two, but not in three dimensions. Remarkably, for two dimensional systems close to the incompressible density, the entropy is proportional to the square root of the system size, i.e., for such systems the number of microscopic degrees of freedom is determined by the circumference, rather than the area (size) of the system. From a commutative perspective these results can also be interpreted in terms of an effective excluded volume. Possible generalizations to three dimensions, which restore rotational symmetry, are briefly discussed.

    Date: Tuesday, 14th August 2012
    Venue: Frank Nabarro Lecture Theatre P216
    Time: 13.20 - 14.10

    I hope you shall all be able to attend,

    Yours sincerely,

    Alan S. Cornell

    School of Physics
    University of the Witwatersrand
    Private Bag 3
    Wits 2050
    South Africa


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