Adler, J., 1983, "Critical temperatures of the d=3 s= Ising model: the effect of confluent corrections to scaling", J. Phys. A, 16, 3585-3599.

Aeppli, G., Guggenheim, H., and Uemura, Y.J., 1984, "Spin dynamics near the magnetic percolation threshold", Phys. Rev. Lett., 52, 942-945.

Aeppli, G., Guggenheim, H., and Uemura, Y.J., 1985, "Spin dynamics on percolating networks", in Pynn, R., and Skjeltorp, A., 1985, Scaling Phenomena in Disordered Systems, New York: Plenum Press, 461-464.

Arcangelis, L. de, and Jan, N., 1986, "The dynamic critical exponent of the q=3 and 4 state Potts model", J. Phys. A, 19, L1179-L1183.

Barber, M. N., "Finite-size Scaling", in Domb, C., and Lebowitz, J. L., 1983, Phase Transitions and Critical Phenomena, Vol. 8, Academic Press, 146-268.

Binder, K., 1997, "Applications of Monte Carlo methods to statistical physics", Rep. Prog. Phys., 60, 487-559.

Binder, K., and Heerman, D.W., 1988, Monte Carlo Simulation in Statistical Physics, Springer Verlag.

Biswal, B., and Chowdhury, D., 1991, "Dimensionality dependence in the singular dynamic scaling in the dilute Ising model", Phys. Rev. A, 43(8), 4179-4181.

Blöte, H.W.J., Luijten, E., and Heringa, J.R., 1995, "Ising universality in three dimensions: a Monte Carlo study", J. Phys. A, 28, 6289-6313.

Blöte, H.W.J. and Kamieniarz, G., 1994, "Simulations of the 3d Ising Model at Criticality", Acta Phys. Pol. A, 85, 395-398.

Chowdhury, D., and Stauffer, D., 1986, "Dilution dependence of the relaxation time in the dilute Ising model", J. Phys. A, L19-L21.

Dasgupta, C., 1977, Phys. Rev. B, 15, 3460.

Domb, C., 1974, "Ising Model", in Domb, C., and Green, M.S., 1974, Phase Transitions and Critical Phenomena, Vol. 3, 357-484.

Enting, I.G., 1975, J. Phys. A, 8, L35.

Ferrell, R.A., Menyhard, N., et al., 1967, Phys. Rev. Lett., 18, 891.

Fisher, M.E., 1967, "The theory of equilibrium critical phenomena", Rep. Prog. Phys., 30, 615-730.

Fisher, M.E., and Burford, R.J., 1967, Phys. Rev., 156, 583.

Gaunt, D.S., Sykes, M.F., and McKenzie, S., 1979, "Susceptibility and fourth-field derivative of the spin- Ising model for T > Tc and d=4", J. Phys. A, 12, 871-877.

Halperin, B.I., and Hohenberg, P.C., 1967, "Generalization of Scaling Laws to Dynamical Properties of a System near its Critical Point", Phys. Rev. Lett., 19 (12), 700-703.

Halperin, B.I., and Hohenberg, P.C., 1969, "Scaling Laws for Dynamic Critical Phenomena", Phys. Rev., 177 (2), 952-971.

Hammersley, J.M., and Handscomb, D.C., 1964, Monte Carlo Methods, London: Methuen.

Harris, C.K. and Stinchcombe, R.B., 1986, "Critical dynamics of diluted Ising systems", Phys. Rev. Lett., 56, 869-872.

Heermann, D.W., and Stauffer, D., 1980, "Influence of Boundary Conditions on Square Bond Percolation near pc", Z. Phys. B, 40, 133-136.

Henley, C.L., 1985, "Critical Ising spin dynamics on percolation clusters", Phys. Rev. Lett., 54, 2030-2033.

Heuer, H.-O., 1993, "Critical crossover phenomena in disordered Ising systems", J. Phys. A, 26, L333-L339.

Hohenberg, P.C., and Halperin, B.I., 1977, "Theory of dynamic critical phenomena", Rev. Mod. Phys., 49 (3), 435-479.

Hu, B., 1980, J. Phys. A, 13, L321.

Jain, S., 1986, "Breakdown of dynamic scaling at the percolation threshold", J. Phys. A, 19, L57-L61.

Jain, S., 1987, "Critical dynamics of the four-state Potts model", J. Phys. A, 20, L607-L613.

Jain, S., and Lage, E.J.S, 1993, "Critical dynamics below the percolation threshold", J. Phys. A, 26, L1211-L1216.

Janssen, H.K., Schaub, B., and Schmittmann, B., 1989, "New universal short-time scaling behaviour of critical relaxation processes", Z. Phys. B, 73, 539-549.

Jaster, A., Mainville, J., Schülke, L., and Zheng, B., 1999, "Short-time critical dynamics of the 3-dimensional Ising model", J. Phys. A, 32 , 1395-1406.

Knuth, D.E, 1997, The Art of Computer Programming, 3rd edition, Vol. 2, Addison Wesley Longman, Inc.

Kramers, H.A., and Wannier, G.H., 1941, "Statistics of the two-dimensional ferromagnet, I and II", Phys. Rev., 60, 252-276.

Livet, F., 1991, "The Cluster Updating Monte-Carlo Algorithm Applied to the 3d Ising Problem", Europhys. Lett., 16, 139-142.

Metropolis, N., Rosenbluth, A. W., et al., 1953, "Equation of State Calculations by Fast Computing Machines", J. Chem. Phys., 21, 1087-1092.

Okano, K., Schülke, L., Yamagishi, K., and Zheng, B., 1997, "Universality and scaling in short-time critical dynamics", Nucl. Phys. B, 485, 727-746.

Onsager, L., 1944, "Crystal physics, I. A two-dimensional model with an order-disorder transition", Phys. Rev., 65, 117-149.

Press, W.H., et al., 1992, Numerical Recipes in C, Cambridge: Cambridge University Press.

Salman, Z., and Adler, J., 1991, "High and Low Temperature Series Estimates for the Critical Temperature of the 3d Ising Model".

Schülke, L., and Zheng, B., 1995, "The short-time dynamics of the critical Potts model", Phys. Lett. A, 204, 295-298.

Shenker, S.J., Kadanoff, L.P., and Pruisken, A.M.M., 1979, J. Phys. A, 12, 91.

Stanley, H.E., 1971, Introduction to Phase Transitions and Critical Phenomena, Oxford: Clarendon Press

Stauffer, D., and Aharony, A., 1991, Introduction to Percolation Theory, 2nd edition, London: Taylor & Francis.

Stinchcombe, R., 1983, "Dilute Magnetism", in Domb, C., and Lebowitz, J. L., Phase Transitions and Critical Phenomena, Volume 7, Academic Press, 151-280.

Swendsen, R. H., and Wang, J.-S., 1987, "Nonuniversal Critical Dynamics in Monte Carlo Simulations", Phys. Rev. Lett., 58, 86-88.

Sykes, M.F., and Essam, J.L., 1963, Phys. Rev. Lett, 10, 3-4.

Sykes, M.F., and Essam, J.L., 1964, J. Math. Phys., 5, 1117-1127.

Talapov, A.L., and Blöte, H.W.J., 1996, "The magnetization of the 3D Ising model", J. Phys. A, 29, 5727-5733.

Uhlenbeck, G.E., and Goudsmit, S., 1925, Nature, 117, 264.

Wang, J.-S., and Swendsen, R. H., 1990, "Cluster Monte Carlo Algorithms", Physica A, 167, 565-679.

Wang, J.-S. et al., 1991, Physica A, 166, 173.

Wildi, T., 1991, Units and Conversion Charts, New York: IEEE Press

Wolf, U., 1989, "Collective Monte Carlo Updating for Spin Systems", Phys. Rev. Lett., 62, 361-364.

Wu, F. Y, 1982, "The Potts Model", Rev. Mod. Phys., 54, 235-268.

Yang, C.N., 1952, Phys. Rev., 85, 808.

Yeomans, J. M., 1992, Statistical Mechanics of Phase Transitions, Oxford: Clarendon Press.

Zheng, B., 1998, "Monte Carlo simulations of short-time critical dynamics", Int. J. Mod. Phys., B 12, 1419-1484.

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