Grand canonical Monte Carlo simulations of elastic membranes with fluidity

Phase transition of compartmentalized surface models

“…Therefore, the procedure in [25] seems change effectively the coefficient α of the co-ordination dependent term −α i log q i , which comes from the integration measure i dX i q α i , where α is fixed to α = 0 in this paper and in [25]. We know that the phase structure depends on the co-ordination dependent term in the fluid surface model [26].…”

Monte Carlo simulations of a tethered membrane model on a disk with intrinsic curvature

“…Models on triangulated surfaces can be classified into two groups. One of them is the fluid model which is defined on dynamical connectivity surfaces [13,14,15,16,17,18,19,20], and the other is the tethered model on fixed connectivity surfaces [20,21,22,23,24,25,26,27,28,29,30]. There is another classification of surface models; a model is called real or phantom according to whether the surface is self-avoiding or not.…”

Grand canonical simulations of string tension in elastic surface model

“…The model on fixed connectivity surfaces has been considered to undergo a finite-b transition between the smooth phase and the crumpled phase. A lot of numerical studies including those on fluid surfaces so far support this fact [16,17,18,19,20,21,22,23,24,25,26,27,28]. However, there seems to be no established understanding of phase transitions in the fluid surface model.…”

“…Recent numerical simulations on the fluid surface model suggested that the phase transition is characterized by a divergence of the specific heat, although the parameter α, the coefficient of the co-ordination dependent term, was assumed to have arbitrary values [25,26]. Therefore, it is interesting to see whether the string tension vanishes or not at the critical point of the transition of the model with arbitrary α.…”