Hasil untuk "cond-mat.soft"

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S2 Open Access 2011
Optimized high-order splitting methods for some classes of parabolic equations

S. Blanes, F. Casas, P. Chartier et al.

We are concerned with the numerical solution obtained by splitting methodsof certain parabolic partial differential equations. Splitting schemes of order higher than two with real coefficients necessarily involve negative coefficients. It has been demonstrated that this se cond-order barrier can be overcome by using splitting methods with complex-valued coefficients (with positive real parts). In this way, method s of orders 3 to 14 by using the Suzuki‐Yoshida triple (and quadruple) jump composition procedure have been explicitly built. Here we reconsider this technique an d show that it is inherently bounded to order 14 and clearly sub-optimal with respect to error constants. As an alternative, we solve directly the algebraic equations arising from the order conditions and construct methods of orders 6 and 8 that are the most accurate ones available at present time, even when low accuracies are desired. We also show that, in the general case, 14 is not an order barrier for splitting method s with complex coefficients with positive real part by building explicitly a method of order 16 as a composition of methods of order 8.

75 sitasi en Mathematics, Computer Science
S2 Open Access 2009
The Effects of a 7-Week Heavy Elastic Band and Weight Chain Program on Upper-Body Strength and Upper-Body Power in a Sample of Division 1-AA Football Players

J. Ghigiarelli, E. Nagle, Fredric L Gross et al.

Ghigiarelli, JJ, Nagle, EF, Gross, FL, Robertson, RJ, Irrgang, JJ, and Myslinski, T. The effects of a 7-wk heavy elastic band and weight chain program on upper body strength and upper body power in a sample of Division 1-AA football players. J Strength Cond Res 23(3): 756-764, 2009-The purpose of this study was to explore the effects of a 7-week heavy elastic band and weighted-chain program on maximum muscular strength and maximum power in the bench press exercise. Thirty-six (n = 36) healthy men aged 18-30 years old, from the Robert Morris University football team, volunteered to participate in this study. During the first week, predicted 1 repetition maximum (1RM) bench press and a 5RM speed bench press tests were conducted. Subjects were randomly divided into 3 groups (n = 12): elastic band (EB), weighted chain (WC), and traditional bench (C). During weeks 2-8 of the study, subjects were required to follow the prescribed resistance training program. Mean and SD of the predicted 1RM bench press and 5RM speed bench press were computed. A two-factor (method X time) analysis was applied to identify significant differences between the training groups. Significance was set at α = 0.05. Results indicated a significant time (p < 0.05) but no group effect for both predicted 1RM (kg) and 5RM peak power tests (watts). Although not significant, results did show greater nonsignificant improvements in the EB (848-883 W) and WC groups (856-878 W) vs. control (918-928 W) when the 2 highest and greatest values were selected regarding peak power. The use of EB and WC in conjunction with a general offseason strength and conditioning program can increase overall maximum upper-body strength in a sample of Division 1-AA football players. These types of training modalities add a unique training style and more flexibility with respect to exercise prescription for athletes and strength practitioners.

88 sitasi en Psychology, Medicine
S2 Open Access 1998
Completeness of boundary conditions for the critical three-state Potts model

J. Fuchs, C. Schweigert

Abstract We show that the conformally invariant boundary conditions for the three-state Potts model are exhausted by the eight known solutions. Their structure is seen to be similar to the one in a free field theory that leads to the existence of D-branes in string theory. Specifically, the fixed and mixed boundary conditions correspond to Neumann conditions, while the free boundary condition and the new one recently found by Affleck et al. [Boundary critical phenomena in the three-state Potts model, preprint cond-mat/9804117] have a natural interpretation as Dirichlet conditions for a higher-spin current. The latter two conditions are governed by the Lee–Yang fusion rules. These results can be generalized to an infinite series of non-diagonal minimal models, and beyond.

35 sitasi en Physics
S2 Open Access 2003
Kondo effect and spin filtering in triangular artificial atoms

G. Zaránd, A. Brataas, D. Goldhaber-Gordon

Abstract We studied, strongly correlated states in triangular artificial atoms. Symmetry-driven orbital degeneracy of the single particle states can give rise to an SU (4) Kondo state with entangled orbital and spin degrees of freedom, and a characteristic phase shift δ =π/4. Upon application of a Zeeman field, a purely orbital Kondo state is formed with somewhat smaller Kondo temperature and a fully polarized current through the device. The Kondo temperatures are in the measurable range. The triangular atom also provides a tool to systematically study the singlet–triplet transitions observed in recent experiments [Phys. Rev. Lett., 88 (2002) 126803, cond-mat/0208268 (2002)].

32 sitasi en Physics

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