1994/11/10 by Koo-Chul Lee, Lee, Koo-Chul
Engineering · Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Phase Equilibria and Thermodynamics #Theoretical and Computational Physics #cond-mat #hep-lat
paper · pdf · doi:10.48550/arxiv.cond-mat/9411040
12 pages, RevTex, 1 figure in PostScript file upon request
arxiv created 1994/11/10 · arxiv updated 2009/11/30
We extend the circle theorem on the zeros of the partition function to a continuum system. We also calculate the exact zeros of the partition function for a finite system where the probability distribution for the order parameter is given by two asymmetric Gaussian peaks. For the temperature driven first order transition in the thermodynamic limit, the locus and the angular density of zeros are given by r = e(Δc/2l)θ2 and 2πg(θ)=l(1+(3)/(2)(Δc/l)2θ2) respectively in the complex z(≡ reiθ)-plane where l is the reduced latent heat, Δc is the discontinuity in the reduced specific heat and z= exp(1-Tc/T).