Self-avoiding walk chemical potential

Fig. 16. Moves used to equilibrate coil configurations for the self-avoiding walk model of polymer chains on the simple cubic lattice (upper party end rotations, kinkjump motions and crankshaft rotations f 107]. From time to time these local moves alternate with a move (lower pan) where one attempts to replace an A-chain by a B-chain in an identical coil configuration, or vice versa. In the transition probability of this move, the chemical potential difference Ap as well as the energy change SjF enter. From Binder [2S8]...

Figure 4.17. Scaling plot for the excess chemical potential S/x plotted as function of the reduced concentration, 3.49 X (p/ip. Data were obtained in lattice Monte Carlo simulation for self-avoiding walks of = 25, 100, 200, and 300 on a cubic lattice. The dashed line is by...

If a polymer solution is modeled by an assembly of self-avoiding walks on a lattice, a basic physical quantity is the osmotic pressure II. Carrying out a simulation with a fixed number JT of chains of length at a lattice of volume V with one of the dynamic algorithms described in Section 1.2.2, the osmotic pressure is not straightforward to sample. If one had methods that yielded the excess chemical potential and the Helmholtz free energy Fjr, one would find II from the thermodynamic relation... 

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