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A cell lists method based on doubly linked lists and with complexity O(N) isdeveloped for particle deletion and insertion in reaction ensemble Monte Carlosimulation. Because the random move in Metropolis algorithm can be reduced toparticle deletion at old position and particle insertion at new position, sothis method can be also used in Metropolis algorithm. In addition, nonlocalmove, common in Monte Carlo simulation of polymers, such as kink-jump, pivot,reptation move and the retrace and regrow of chains in configurational biasedMonte Carlo often cause the failure of Verlet lists method because the largedisplacement in these nonlocal moves will exceed Verlet cutoff radius. So wealso use cell lists method based on doubly linked lists to achieve nonlocalmove in this study.

Cell Lists Method Based on Doubly Linked Lists for Monte Carlo Simulation