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.)
Computer simulation reports in condensed topic physics shape a quickly constructing box making sigificant contributions to special actual difficulties. The papers during this quantity current new actual effects and document new simulation options and new methods of analyzing simulational facts, which hide simulation of either classical and quantum platforms. issues taken care of contain - Multigrid and nonlocal updating tools in Monte Carlo simulations - Simulations of magnetic excitations and section transitions - Simulations of mixture formation - Molecular dynamics and Monte Carlo stories of polymers, polymer combinations, and fluid circulation - Quantum course necessary and molecular dynamics reports of clusters and adsorbed layers on surfaces - New tools for simulating interacting boson and fermion platforms - Simulational experiences of digital structure.
Read Online or Download Computer Simulation Studies in Condensed Matter Physics: Recent Developments Proceeding of the Workshop, Athens, GA, USA, February 15–26, 1988 PDF
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Extra info for Computer Simulation Studies in Condensed Matter Physics: Recent Developments Proceeding of the Workshop, Athens, GA, USA, February 15–26, 1988
Proof. 34 Rewrite (3) as Qa(E t )= _00 j +00 p(E) 2 exp(-a(E-E t ) 1 dE ( 10) Using (4) we can write ( 11) Consider the integral, ( 12) which becomes, by (10), 1=_00 j +OO p(E)dE_ oo = (n/a+b) j+oo dE t ' exp[-(b(Et-E t ') j+oo 1/2 _00 p(E) exp( -~ a+b 2 2 + a(E-E t ') 11 2 (E-E t ) 1 dE ( 13) Defining a'=~, the integral is simply Qa,(E t ) so that (12) and (13) may be combined into a +b j 2 112 +00 2 Q ,(E t ) = (a In(a-a'» exp(~(Et-Et') 1 Qa(E t ') dE t ' a _00 (a-a') Q (E t ') can be numerically evaluated through (11) and thus (14) ~, (~ ) can be p~ed1cted through (14) and (4).
B=O and ~ then represent trivial fixed pointsltsince peE) approaches a 5-function at these extremes (G 3+O). Here we take B as alternate choice for the transition temperature even at first-order transitions where it is an alternative to the equal-area construction. Equations t9) al~o allow a form of scaling. From vs. 1 one. Of course, in view of the approximations made in obtaining these equations, we expect the results to be good only for large values a (small fluctuations). This is confirmed by the simulation results.
4. Conclusions In multigrid methods, one coarsens the degrees of freedom to reduce the computational complexity of the problem and to enable local processing at coarse levels to effect large-scale changes on the fine lattice. In multigrid Monte Carlo, random processes are used both to represent coarsened interactions stochastically, but exactly, and also to update the coarsened degrees of freedom with local Monte Carlo moves. In the longer range, the application of multigrid Monte Carlo to frustrated systems would be interesting.
Computer Simulation Studies in Condensed Matter Physics: Recent Developments Proceeding of the Workshop, Athens, GA, USA, February 15–26, 1988 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.)