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Monte Carlo Simulation (MCS)

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What is Monte Carlo Simulation?

Monte Carlo simulations (MCS) have been widely used to obtain equilibrium configurations of Ising-type lattice models [1-2]. The lattice model is a straightforward energy model in which a Hamiltonian is defined at each configuration. The Monte Carlo method is used to compute the energy of the equilibrium configuration by using random numbers to allow for configurational changes that can both increase and decrease the energy. Because of the randomness inherent in the model, Monte Carlo methods are often applied to systems where evolution depends on diffusion, adsorption or aggregation.

 

Instability Deposit Patterns in an Evaporating Droplet

  Temporal evolution of the formation of a typical wave-like deposit structure with the total number of particles of 56000. Images from (a) to (f) are shown at the equal intervals of 400 Monte Carlo steps. The important sampling is used in this evolution.


REFERENCE

(1) Rabani, Eran, et al., 2003, “Drying-mediated self-assembly of nanoparticles,” Nature, Vol. 426, No. 6964, pp. 271-274.

(2) Chandler, David, 1987, “Introduction to modern statistical mechanics,” Oxford University Press, ISBN-10: 0195042778. ISBN-13: 9780195042771.