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- W2003374876 abstract "We investigate the thermodynamics of non-relativistic and relativistic ideal gases on the spacetime with noncommutative fuzzy geometry. We first find that the heat capacities of the non-relativistic ideal boson and fermion on the fuzzy two-sphere have different values, contrast to that on the commutative geometry. We calculate the ``statistical interparticle potential'' therein and interprete this property as a result that the non-commutativity of the fuzzy sphere has an inclination to enhance the statistical ``attraction (repulsion) interparticle potential'' between boson (fermion). We also see that at high temperature the heat capacity approaches to zero. We next evaluate the heat capacities of the non-relativistic ideal boson and fermion on the product of the 1+D (with D=2,3) Minkowski spacetime by a fuzzy two-sphere and see that the fermion capacity could be a decreasing function of temperature in high-temperature limit, contrast to that always being an increasing function on the commutative geometry. Also, the boson and fermion heat capacities both approach to that on the 1+D Minkowski spacetime in high-temperature limit. We discuss these results and mention that the properties may be traced to the mechanism of ``thermal reduction of the fuzzy space''. We also investigate the same problems in the relativistic system with free Klein-Gordon field and Dirac field and find the similar properties." @default.
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- W2003374876 date "2009-08-27" @default.
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- W2003374876 title "Thermodynamics on fuzzy spacetime" @default.
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