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We introduce fast lattice Monte Carlo (FLMC) simulations, where multiple oc- cupancy of lattice sites is allowed with a proper Boltzmann weight and thus the evaluation of nearest-neighbor interactions can also be avoided. FLMC simulations (with multiple occupancy of lattice sites and Kronecker --function interactions) are much more e-cient, in the study of equilibrium properties of soft matter such as polymers, than both conventional lattice MC simulations (with self- and mutual- avoiding walks and nearest-neighbor interactions) and fast ofi-lattice MC simulations (with pair-potential calculations). When compared with the corresponding lattice fleld theories based on the same Hamiltonian, FLMC simulations further provide a powerful means for unambiguously and quantitatively revealing the efiects of long- wavelength correlations/∞uctuations. Using conflned homopolymers as an example, we report for the flrst time FLMC simulation data ranging from the single-chain case all the way to the lattice self-consistent fleld limit.

Studying soft matter with “soft” potentials: fast lattice Monte Carlo simulations and corresponding lattice self-consistent field calculations