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Simulations with Random Processes
Appendix 10A Error estimates for numerical integration
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average behavior calculate CALL cell cellular automata Chapter Choose cluster labels compute consider critical exponents demon determine diffusion discussed disks END IF END END SUB SUB ENDIF entropy equation equilibrium error estimate exact enumeration example finite fractal dimension Gaussian given Hence INPUT prompt number integral interval Ising model linear dimension magnetic measurements microstates Modify Program Monte Carlo methods Monte Carlo simulation Monte Carlo steps nearest neighbor NEXTi nmcs nper number of particles number of steps number of trials obtain occupied sites one-dimensional parameters percolation cluster percolation configuration percolation threshold perimeter sites phase transition Phys plot Pn(x possible PRINT probability distribution PROBLEM procedure qualitative random number random walk ratio relation renormalization group RETURN END SUBROUTINE sample shown in Fig Simpson's rule site percolation spanning cluster square lattice standard deviation steps per spin SUBROUTINE temperature total number two-dimensional velocity walker WRITE(6 xmax