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Simulations with Random Processes
Appendix 10A Error estimates for numerical integration
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approximation average behavior calculate CALL cell cellular automata Chapter Choose cluster labels consider critical exponents determine discussed disks END IF END END SUB SUB ENDIF ensemble entropy equation equilibrium error estimate exact result example finite fractal dimension given ground state energy Hence initial configuration INPUT prompt number integral interval Ising model magnetization mean energy measure Metropolis algorithm microcanonical ensemble microstates Modify Program Monte Carlo methods Monte Carlo simulation Monte Carlo steps nearest neighbor NEXTi nmcs nper number of particles number of trials obtain occupied sites one-dimensional parameters percolation cluster perimeter sites periodic boundary conditions phase transition Phys physical quantities plot potential PRINT PROBLEM procedure qualitative random number random walk relation renormalization group RETURN END SUBROUTINE scaling Schrödinger equation site percolation spanning cluster square lattice steps per spin SUBROUTINE temperature total energy total number velocity walker wave function wave packet WRITE(6 xmax