Time parameters, Metropolis Monte Carlo

To model the fluidity of the membrane, tethers can be flipped between the two possible diagonals of two adjacent triangles. A number xjfNh of bond-flip attempts is performed with the Metropolis Monte Carlo method [173] at time intervals AtBF. where Nh = 3 Nmh - 2) is the number of bonds in the network, and 0 < yr < 1 is a parameter of the model. Simulation results show that the vertices of a dynamically triangulated membrane show diffusion, i.e., the squared distance of two initially neighboring vertices increases linearly in time. 

We sample from this distribution using the Metropolis Monte Carlo method, starting initially at a very high temperature so that the system is able to move efficiently around parameter space. We then slowly decrease the temperature to zero, to allow the system sufficient time to escape from higher-lying local minima and find the global minimum (which is easier... 

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