Complex Temperature Plane Zeros: Scaling Theory and Multicritical Mean Field Models

Glasser, M.L.; Privman, V.; Schulman, L.S.

doi:10.1103/PhysRevB.35.1841

Complex Temperature Plane Zeros: Scaling Theory and Multicritical Mean Field Models

M.L. Glasser
(
- Clarkson U.
)
,
V. Privman
(
- Clarkson U.
)
,
L.S. Schulman
(
- Clarkson U. and
- Technion
)

Jun, 1986

22 pages

Published in:

Phys.Rev.B 35 (1987) 1841-1845

DOI:

10.1103/PhysRevB.35.1841

Report number:

Print-86-0924 (CLARKSON)

View in:

AMS MathSciNet

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Abstract: (APS)

We formulate a finite-size scaling theory for the partition function. This leads to a scaling description of the complex-temperature-plane zeros. The asymptotic form of the scaling function for large complex arguments is conjectured and used to calculate explicitly the location of an unbounded number of zeros. Scaling predictions are checked against the exactly solvable generalized infinite-range models which exhibit multicritical mean-field behavior. New mathematical results are reported for the asymptotic behavior of integrals representing finite-size scaling functions of infinite-range models.

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References(12)

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Complex Temperature Plane Zeros: Scaling Theory and Multicritical Mean Field Models

Citations per year

Statistical theory of equations of state and phase transitions. 1. Theory of condensation

Statistical theory of equations of state and phase transitions. 2. Lattice gas and Ising model

CONVERGENCE OF FINITE SIZE SCALING RENORMALIZATION TECHNIQUES

Spin Rotation Parameter QQQ for 800-{MeV} Proton Elastic Scattering From 16^{16}16O, 40^{40}40Ca, and 208^{208}208Pb

The renormalization group in the theory of critical behavior

Spin Rotation Parameter $Q$ for 800-{MeV} Proton Elastic Scattering From $^{16}$ O, $^{40}$ Ca, and $^{208}$ Pb