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The basic idea of fast Monte Carlo (MC) simulations is to performparticle-based MC simulations with the excluded-volume interactions modeled by"soft" repulsive potentials that allow particle overlapping. This gives muchfaster system relaxation and better sampling of the configurational space thanconventional molecular simulations with "hard" repulsions that prevent particleoverlapping. Here we present fast lattice MC (FLMC) simulations for confinedhomopolymers, where multiple occupancy of lattice sites is allowed with aproper Boltzmann weight and thus the evaluation of nearest-neighborinteractions can also be avoided. When compared with the corresponding latticefield theories based on the \emph{same} Hamiltonian, FLMC simulations furtherprovide a powerful means for unambiguously and quantitatively revealing thecorrelation/fluctuation effects.

Studying Soft Matter with "Soft" Potentials: Fast Lattice Monte Carlo Simulations and Corresponding Lattice Self-Consistent Field Calculations