We use a new updated algorithm scheme to investigate the critical behaviour of the two-dimensional ferromagnetic Ising model on a triangular lattice with the nearest neighbour interactions.The transition is examined by generating accurate data for lattices with L = 8,10,12,15,20,25,30,40 and 50.The updated spin algorithm we employ has the advantages of both a Metropolis algorithm and a single-update method.Our study indicates that the transition is continuous at T c = 3.6403(2).A convincing finite-size scaling analysis of the model yields ν = 0.9995(21),β/ν = 0.12400(17),γ/ν = 1.75223(22),γ /ν = 1.7555(22),α/ν = 0.00077(420)(scaling) and α/ν = 0.0010(42)(hyperscaling).The present scheme yields more accurate estimates for all the critical exponents than the Monte Carlo method,and our estimates are shown to be in excellent agreement with their predicted values.
