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.)

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

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39], and even then interfacial contributions to many observable features will be of importance . Thus a first-order transition with a small two-phase coexi stence re29 gime often looks like a second-order transition, when one uses the extensive variable as an independent variable. 48). 3. 6 Linear Response, Susceptibilities and Transport Coefficients One often encounters the situation that one wishes to know correlation functions of some local quantity p(r) such as -

Chern. Phys. 53 S. Rornano, K. Singer: Mo1ecular Phys. J. Adams: Molecular Phys. G. Powles: Molecu1ar Phys. E. J . Thorn : Nucl. Metall. W. Wood: In Physi cs of Simpl e Liquids , ed. V. S. S . L. P. M. Torrie: In St at i s t i ca l Mechanics, Part A, ed. J. 59 For a short review, see O. J. P. Hansen : In M~nte Carlo Methods i n Statis t icaZ Physics , ed. by K. F. Abraham : Phys . Repts. H. ßennett : J . Camp . Phys. 22, 245 (1976); J. A. M . Pound : J. Chem . Phys. 62 B. II, ed . by C. S. 63 K.

63]. 5 Methuds of L oc atin g Firs t-Order Phase Chang es In a Monte Carlo simulation the signature of a first -order transition often is the observation of hysteresis effects. One must be careful, however, since simi lar behavior is often seen because of critical slowins down: one runs into a regime where the observation times are far tao short (which may not be obvious beforehand). 1,30,66]. If the hysteresis is pronounced and the transiti on clearly i s f irs t order, the problem arises to locate at which parameter value the transition occur s i n thermal equilibrium.

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