Algorithmes d'acceleration de la convergence: etude by Claude Brezinski

By Claude Brezinski

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J. K. Jervis: Phys. Rev. Lett. M. J. Kim, P. Minnhagen: Phys. Rev. P. Ying, B. Zheng, Y. Yu, S. Trimper: Phys. Rev. H. B. K. Jiao: Phys. Rev. B 64, 212403 (2001) B. Zheng, F. Ren, H. Ren: Phys. Rev. E 68, 046120 (2003) Y. Ozeki, K. Ogawa, N. Ito: Phys. Rev. E 67, 026702 (2003) K. Medvedyeva, P. Holme, P. J. Kim: Phys. Rev. E 66, 026130 (2002) 24. P. J. Luo, L. Sch¨ ulke, B. Zheng: Mod. Phys. Lett. B 12, 1237 (1998) 4 Numerical Simulations of Critical Dynamics 25. 26. 27. 28. 29. 30. 31. 32. 33.

The problem illustrated in Fig. 3 is typical of asymmetric binary mixtures of which the AO model is an example. The standard grand canonical MC algorithm does not deal well with such mixtures, essentially because it moves only one particle at a time. A MC move capable of removing entire clusters of polymers would be much more efficient. By using such a cluster move the formation of “holes” in the “sea” of polymers is enhanced. If the holes are large enough to contain a colloid, the acceptance rate of colloid insertions will increase.

Sch¨ ulke, B. Zheng: Phys. Rev. E 64, 36123 (2001) N. Ito, Y. Ozeki: Physica A 321, 262 (2003) B. Zheng, M. Schulz, S. Trimper: Phys. Rev. J. J. K. Jervis: Phys. Rev. Lett. M. J. Kim, P. Minnhagen: Phys. Rev. P. Ying, B. Zheng, Y. Yu, S. Trimper: Phys. Rev. H. B. K. Jiao: Phys. Rev. B 64, 212403 (2001) B. Zheng, F. Ren, H. Ren: Phys. Rev. E 68, 046120 (2003) Y. Ozeki, K. Ogawa, N. Ito: Phys. Rev. E 67, 026702 (2003) K. Medvedyeva, P. Holme, P. J. Kim: Phys. Rev. E 66, 026130 (2002) 24. P. J. Luo, L.

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