Grand-Canonical Simulation of Two-Dimensional Simplicial Gravity | Zendy

S. Oda | Zendy; N. Tsuda | Zendy; T. Yukawa | Zendy

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Grand-Canonical Simulation of Two-Dimensional Simplicial Gravity

Author(s) -

S. Oda,

N. Tsuda,

T. Yukawa

Publication year - 1998

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.99.875

Subject(s) - physics , torus , spins , string (physics) , ising model , surface (topology) , monte carlo method , statistical physics , detailed balance , canonical ensemble , classical mechanics , mathematical physics , geometry , condensed matter physics , mathematics , statistics

The string susceptibility exponents of dynamically triangulated 2-dimensionalsurfaces with various topologies, such as a sphere, torus and double-torus,were calculated by the grand-canonical Monte Carlo method. These simulationswere made for surfaces coupled to $d$-Ising spins ($d$=0,1,2,3,5). In eachsimulation the area of surface was constrained to within 1000 to 3000 oftriangles, while maintaining the detailed-balance condition. The numericalresults show excellent agreement with theoretical predictions as long as $d\leq 2$.Comment: 9 pages, Latex include 5 postscript figures, using psfig.sty and cite.st

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