Critical behaviour of the two-dimensional Potts model with a continuous number of states; A finite size scaling analysis

H.W.j Blöte and M.p Nightingale

Physica A: Statistical Mechanics and its Applications, 1982, vol. 112, issue 3, 405-465

Abstract: We investigate the critical behaviour of the two-dimensional, q-state Potts model, using finite-size scaling and transfer matrix methods. For the continuous transition range (04). For completely finite systems, we recover the power law behaviour describe by discontinuity fixed point exponents; however, for systems that are infinite in one direction, exponential behaviour occurs. This is illustrated numerically by the exponential divergences of the susceptibility and specific heat with increasing system size for q⪢4.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:112:y:1982:i:3:p:405-465

DOI: 10.1016/0378-4371(82)90187-X

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