Course-grained lattice simulations

This behavior has been confirmed for weakly adsorbing nonionic surfactants on hydrophilic surfaces in fact, despite the simple nature of the course-grained lattice model, the simulation can predict certain features that are also found experimentally. Even without a quantitative comparison, cac was found to be smaller than cmc, and, above the cac, a relatively large increase was observed in... 

Katsoulakis, M.A., Majda, A.J. and Vlachos, D.G. (2003) Course-grained Stochastic Processes and Monte Carlo Simulations in Lattice Systems. 

What is the relationship between the molecular dynamics simulations of a continuous model and an isothermal Monte Carlo trajectory of an otherwise similar discretized (or lattice) model When only local (and small distance) moves are applied in a properly controlled random (or rather pseudorandom) scheme, the discrete models mimic the coarse-grained Brownian dynamics of the chain. The Monte Carlo trajectory could be then interpreted as the numerical solution to a stochastic equation of motion. Of course, the short-time dynamics... 

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