Two Ising models coupled to two-dimensional gravity

Mark Bowick; Marco Falcioni; Geoffrey Harris; Enzo Marinari

doi:10.1016/0550-3213(94)90350-6

Two Ising models coupled to two-dimensional gravity

Mark Bowick, Marco Falcioni, Geoffrey Harris, Enzo Marinari

Department of Physics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

To investigate the properties of c = 1 matter coupled to 2d-gravity we have performed large-scale simulations ot two copies of the Ising model on a dynamical lattice. We measure spin susceptibility and percolation critical exponents using finite-size scaling. We show explicity how algorithmic corrections are needed for a proper comparison with theoretical exponents. We also exhibit correlations, mediated by gravity, between the energy and magnetic properties of the two Ising species. The prospects for extending this work beyond c = 1 are dressed.

Original language	English (US)
Pages (from-to)	665-684
Number of pages	20
Journal	Nuclear Physics, Section B
Volume	419
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(94)90350-6
State	Published - May 23 1994

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(94)90350-6

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title = "Two Ising models coupled to two-dimensional gravity",

abstract = "To investigate the properties of c = 1 matter coupled to 2d-gravity we have performed large-scale simulations ot two copies of the Ising model on a dynamical lattice. We measure spin susceptibility and percolation critical exponents using finite-size scaling. We show explicity how algorithmic corrections are needed for a proper comparison with theoretical exponents. We also exhibit correlations, mediated by gravity, between the energy and magnetic properties of the two Ising species. The prospects for extending this work beyond c = 1 are dressed.",

author = "Mark Bowick and Marco Falcioni and Geoffrey Harris and Enzo Marinari",

note = "Funding Information: This work has been done with NPAC (Northeast Parallel Architectures Center) computing facilities. We would like to thank John Apostolakis, Simon Catterall and Paul Coddington for helpful correspondence and conversations. The research of MB was supported by the Department of Energy Outstanding Junior Investigator Grant DOE DE-FGO2-85ER40231, that of MF by funds from NPAC and that of Gil by research funds from Syracuse University.",

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AU - Falcioni, Marco

AU - Harris, Geoffrey

AU - Marinari, Enzo

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Y1 - 1994/5/23

N2 - To investigate the properties of c = 1 matter coupled to 2d-gravity we have performed large-scale simulations ot two copies of the Ising model on a dynamical lattice. We measure spin susceptibility and percolation critical exponents using finite-size scaling. We show explicity how algorithmic corrections are needed for a proper comparison with theoretical exponents. We also exhibit correlations, mediated by gravity, between the energy and magnetic properties of the two Ising species. The prospects for extending this work beyond c = 1 are dressed.

AB - To investigate the properties of c = 1 matter coupled to 2d-gravity we have performed large-scale simulations ot two copies of the Ising model on a dynamical lattice. We measure spin susceptibility and percolation critical exponents using finite-size scaling. We show explicity how algorithmic corrections are needed for a proper comparison with theoretical exponents. We also exhibit correlations, mediated by gravity, between the energy and magnetic properties of the two Ising species. The prospects for extending this work beyond c = 1 are dressed.

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Two Ising models coupled to two-dimensional gravity

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