Finite-size scaling and the three-dimensional Ising model

Bhanot, Gyan; Duke, Dennis W.; Salvador, Román

doi:10.1103/physrevb.33.7841

Cited by 96 publications

(26 citation statements)

References 17 publications

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“…Extraction of this quantity is quite complicated on a finite lattice due to the mixing of levels through tunneling. It is, in principle, possible to extract mphy s of each phase by adding subdominant terms in (31). Attempts were made in refs.…”

Section: 2 Physical Mass Gapmentioning

confidence: 99%

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Finite-size scaling of the three-state Potts model on a simple cubic lattice

et al. 1990

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Finite-size scaling is studied for the three-state Ports model on a simple cubic lattice. We show that the specific heat and the magnetic susceptibility scale accurately as the volume. The correlation length exhibits behaviors expected for a genuine first-order transition; the one extracted from the unsubtracted correlation function shows a characteristic finite-size behavior, whereas the physical correlation length that characterizes the first excited state stays at a finite value and is discontinuous at the transition point.

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Section: 2 Physical Mass Gapmentioning

confidence: 99%

“…To extract mphy s for the symmetry-broken (ordered) phase, we used the form (32) while for the symmetric phase we assumed a function of the form (31).…”

Section: 2 Physical Mass Gapmentioning

confidence: 99%

Finite-size scaling of the three-state Potts model on a simple cubic lattice

et al. 1990

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“…In the three-dimensional Ising model, the critical exponents were calculated from theoretical models [4] as well as from Monte Carlo simulations [5][6][7] with the result fi--0.325, 7--1.24, u--0.63, a~0.11.…”

Section: Thermodynamic Quantities With Critical Behaviourmentioning

confidence: 99%

Finite size scaling analysis of SU(2) lattice gauge theory in (3 + 1) dimensions

1990

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“…We use a multi-spin coding technique [28,29] to simulate a large number of systems simultaneously. Since the FORTRAN compiler on the HITAC S-820/80 computer, we have used, treats 32-bit integers, we can update 32 systems independently.…”

Section: Monte Carlo Simulationsmentioning

confidence: 99%

Finite-size effects of dimensional crossover in the quasi-two-dimensional three-state Potts model

Yamagata¹

1995

Physica A: Statistical Mechanics and its Applications

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A nearest neighbour spin pair of the quasi-two-dimensional three-state Potts model interacts with the strength J(> 0) in the xy-plane and with λJ (0 ≤ λ ≪ 1) in the z-axis. The phase transition is of second-order when λ = 0 and is of first-order when λ > 0. The dimensional crossover occurs with a change of the order of the phase transition. We study the finite-size effects of the phenomenon by using a Monte Carlo method with a multi-spin coding technique. The prediction of the finite-size scaling theory is consistent with the Monte Carlo results.

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Finite-size scaling and the three-dimensional Ising model

Cited by 96 publications

References 17 publications

Finite-size scaling of the three-state Potts model on a simple cubic lattice

Finite-size scaling of the three-state Potts model on a simple cubic lattice

Finite size scaling analysis of SU(2) lattice gauge theory in (3 + 1) dimensions

Finite-size effects of dimensional crossover in the quasi-two-dimensional three-state Potts model

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