TY - JOUR

T1 - On the critical behavior of the surface tension in a random surface model

AU - Harn, Myunghark

AU - Aizenman, Michael

N1 - Funding Information:
t J.S. Guggenheim Foundation Fellow. On leave from Rutgers University, Departments of Mathematics and Physics. Research supported in part by NSF grant PHY83-01493A01.

PY - 1985

Y1 - 1985

N2 - We examine the continuity of the surface tension α(p), at the critical point Pc, for the surfaces formed in the random plaquette model on Z3 - of independent plaquettes with density p. It is shown that α(p)≤|Inp|P∞2(1-p), and α(p)≤|Inp|P∞, 1 2(1-p), where P∞(q) is the percolation probability in the dual bond percolation model - of independently occupied bonds with qandP∞, 1 2(q) is the percolation probability in the semi-infinite system. Under natural assumptions on the bond-percolation transition, these results strongly indicate that the surface tension vanishes continuously as p↑pc.

AB - We examine the continuity of the surface tension α(p), at the critical point Pc, for the surfaces formed in the random plaquette model on Z3 - of independent plaquettes with density p. It is shown that α(p)≤|Inp|P∞2(1-p), and α(p)≤|Inp|P∞, 1 2(1-p), where P∞(q) is the percolation probability in the dual bond percolation model - of independently occupied bonds with qandP∞, 1 2(q) is the percolation probability in the semi-infinite system. Under natural assumptions on the bond-percolation transition, these results strongly indicate that the surface tension vanishes continuously as p↑pc.

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U2 - 10.1016/0550-3213(85)90378-5

DO - 10.1016/0550-3213(85)90378-5

M3 - Article

AN - SCOPUS:46549099695

VL - 257

SP - 859

EP - 866

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - C

ER -