Download e-book for iPad: Applications of the Monte Carlo Method in Statistical by K. Binder, D. Stauffer (auth.), Professor Dr. Kurt Binder

By K. Binder, D. Stauffer (auth.), Professor Dr. Kurt Binder (eds.)

Bargains with the pc simulation of complicated actual sys- tems encounteredin condensed-matter physics and statistical mechanics in addition to in similar fields similar to metallurgy, polymer research,lattice gauge idea and quantummechanics.

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G. Baumgaertel, D. Stauffer: Z. Physik B44 , 333 ( 1981) ; N. M. Mose ley, D. Stauffer: J . Statist . Phys. W . Lykl ema : Phys. Rev. Lett . 49, 88 (1982) M. Suzuki , S. Miyashita, A. Kuroda: Progr. Theor. Phys. 58 , 701 (1977); S. Miyashita, H. Nishimori, A. Kuroda, M. Suzu ki : Progr . Theor . Phys. 60, 1669 ( 1978) K. H. Kalos: In Monte Carlo Method s in Statis t ical Physics , ed. by K. 7 (Springer, Berlin, Heide lberg, New York 1979) K. Binder : Thin Solid Fi lms 20, 367 (1974) K. P . Landau: Phys .

Finally we emphasize that finite-size sca1ing i s very useful [1. 35,36] for sys tems with an "ordered" phase without order parameter, where (i n the thermodynamical l imit) the order-parameter corre1ation function decays with distance in a power-1aw form: the corre1ation 1ength for all temperatures T < Tc stays infinite, and hence the boundary conditions disturb th~ corre1ation function signi ficant1y irrespective of the size of the system. 7. The correlation length of fluctuations of an order parameter associated with some phase transition is not the only characteristic length which may become 1arge.

P. Landau, K. Binder: Phys . Rev. 67 R. Liebmann: Z. Phys . 6 8 M. Creutz, L. Jacobs, C. Rebbi: Phys. Rev. G. J. Knak-Jensen, P. Bak: Phys. Rev. Lett . J . G . Mou ritsen, E. Kjaersgaard Hansen, P. Bak : Phys . Rev. G . J . Knak-Jensen, B. Frank: Phys. Rev . 71 K. Binder: J. Stat. Phys. 72 F. Fucito : Phys. Lett . M. Mütter, K. Schilling: Nucl. Phys . 74 G. Parisi : Nucl. Phys . P. G. Whittington : In Statistical Mechanies , Par t A , ed. J . 76 R. Kretschmer, K. Binder: Z. Phys . P. Hansen, O.

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