The blackbody radiation in a box L-3 with periodic boundary conditions in thermal equilibrium at a temperature T is affected by finite-size effects. These bring about modifications of the thermodynamic functions which can be expressed in a closed form in terms of the dimensionless parameter LT. For instance, when LT similar to 4-corresponding to the value where the most reliable SU(N) gauge lattice simulations have been performed above the deconfining temperature T-c-the deviation of the free energy density from its thermodynamic limit is about 5%. This may account for almost half of the pressure deficit observed in lattice simulations at T similar to 4T(c).
The Stefan-Boltzmann law in a small box and the pressure deficit in hot SU(N) lattice gauge theory
GLIOZZI, Ferdinando
2007-01-01
Abstract
The blackbody radiation in a box L-3 with periodic boundary conditions in thermal equilibrium at a temperature T is affected by finite-size effects. These bring about modifications of the thermodynamic functions which can be expressed in a closed form in terms of the dimensionless parameter LT. For instance, when LT similar to 4-corresponding to the value where the most reliable SU(N) gauge lattice simulations have been performed above the deconfining temperature T-c-the deviation of the free energy density from its thermodynamic limit is about 5%. This may account for almost half of the pressure deficit observed in lattice simulations at T similar to 4T(c).
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