Münster 1999 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 52: Phasenumwandlungen und kritische Phänomene
DY 52.2: Vortrag
Freitag, 26. März 1999, 11:30–11:45, R4
Exact Partition Functions for the Primitive Droplet Nucleation Model in 2 and 3 Dimensions — •Hans Kastrup — Institut für Theoretische Physik, RWTH Aachen, 52056 Aachen
The grand canonical partition functions for primitive droplet nucleation models with an excess energy єn = − µn+σ n1−η, η = 1/d, for droplets of n constitutents (e.g. Ising spins) in d dimensions are calculated exactly in closed form (integral representations) for d=2 and d=3 for all complex µ by exploiting the fact that the partition functions obey simple linear partial differential equations.
For d=2 the grand
canonical partition function of the droplet nucleation
model coincides with the quantum canonical partition function
for Schwarzschild black holes in 4 space-time dimensions. The
latter partition function implies the Hawking temperature and
the Bekenstein-Hawking entropy.
Ref.: Phys. Rev. Lett. 81(1998)2280