TY - JOUR

T1 - Critical amplitude of the Potts model

T2 - Zeroes and divergences

AU - Kaufman, Miron

AU - Andelman, David

PY - 1984

Y1 - 1984

N2 - The critical amplitude of the q-state Potts-model free energy is studied as a function of q in two dimensions and on the diamond hierarchical lattice. The amplitude diverges at an infinite number of q values, qn, introducing logarithmic terms in the free energy. We expect that in each interval (qn,qn+1) there is a value q^n where the amplitude vanishes, affecting the singularity of the free energy as a function of temperature. Possible consequences for gelation and vulcanization of polymers are discussed.

AB - The critical amplitude of the q-state Potts-model free energy is studied as a function of q in two dimensions and on the diamond hierarchical lattice. The amplitude diverges at an infinite number of q values, qn, introducing logarithmic terms in the free energy. We expect that in each interval (qn,qn+1) there is a value q^n where the amplitude vanishes, affecting the singularity of the free energy as a function of temperature. Possible consequences for gelation and vulcanization of polymers are discussed.

UR - http://www.scopus.com/inward/record.url?scp=0012613635&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.29.4010

DO - 10.1103/PhysRevB.29.4010

M3 - מאמר

AN - SCOPUS:0012613635

VL - 29

SP - 4010

EP - 4016

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 7

ER -