Computer Simulation Studies in Condensed-Matter Physics IV: by D. P. Landau, K. K. Mon, H.-B. Schüttler (auth.), Professor

By D. P. Landau, K. K. Mon, H.-B. Schüttler (auth.), Professor David P. Landau Ph. D, Professor K. K. Mon Ph. D, Professor Heinz-Bernd Schüttler Ph. D (eds.)

The contribution of machine simulation stories to our figuring out of right­ ties of quite a lot of condensed-matter platforms is now good confirmed. the guts for Simulational Physics has been internet hosting annual workshops with the in­ tent of bringing jointly a number of the skilled practitioners within the box, in addition to relative beginners within the box, to supply a discussion board for the alternate of principles and up to date effects. This year's workshop, the fourth within the sequence, used to be held on the collage of Georgia, February 18-22, 1991. those court cases are a checklist of the workshop and are released with the aim of well timed dissemination of the papers to a much broader viewers. The court cases are divided into 3 elements. the 1st half comprises invited papers which care for simulational reports of classical structures and contains an advent to a few new simulation suggestions and precise objective comput­ ers to boot. A separate part of the lawsuits is dedicated to invited papers on quantum platforms together with new effects for strongly correlated electron and quantum spin versions believed to be vital for the outline of high-T c superconductors. The contributed shows include the ultimate chapter.

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Additional resources for Computer Simulation Studies in Condensed-Matter Physics IV: Proceedings of the Fourth Workshop, Athens, GA, USA, February 18–22, 1991

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Fahnle: Phys. Rev. S. H. J. G. Wilson: Phys. Rev. M. Kosterlitz 1,*, J. Lee 2 , and E. , Brazil *Permanent address: Department of Physics, Brown University, Providence, RI 02912, USA Abstract. A powerful method of detecting first order transitions by numerical simulations of finite systems is presented. The method relies on simulations and the finite size scaling properties of free energy barriers between coexisting states. It is demonstrated that the first order transitions in d = 2, q = 5 and d q 3 Potts models are easily seen with modest computing time.

For the q-state Potts models in two dimensions, the field g(q) vanishing at q = 4 will determine the order of the transition. In this case, the quantity corresponding to the "free energy" of eq. 3 is F(E, g, L) which behaves in exactly the same way as F(M, f3, L). If one were able to simulate arbitrarily large systems, the free energy barrier ~F(L) would suffice as one would simply have to demonstrate that this grows as Ld- 1 on the transition line. However, in a weakly first order transition, one is limited to L < but the Ld-l behavior does not set in until L » Thus, it is necessary to understand the behavior of ~F(L) in the vicinity of a critical point where the free energy is dominated by its singular part.

Kosteditz, Phys. Rev. B43, 1268 (1991). 12. J. M. Kosterlitz, Phys. Rev. LeU. 65 137 (1990). 13. N. Barber, in "Phase Transitions and Critical Phenomena,"eds. C. L. Lebowitz (Academic, New York, 1983), Vol. 8, p. 145. 14. For recent reviews see "Finite Size Scaling and Numerical Simulations of Statistical Systems, ed. V. Privman (World Scientific, Singapore, 1990). 15. E. Eisenriegler and R. Tomaschitz, Phys. Rev. B35, 4876 (1987). 16. M. H. Swendsen, Phys .. Rev. Lett. 61,2635 (1988) 17. H. Swendsen and J-S Wang, Phys.

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