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The random field Ising model with an asymmetric and anisotropic bimodal probability distribution

Hadjiagapiou, Ioannis A. - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 20, pp. 3204-3215

The Ising model in the presence of a random field is investigated within the mean field approximation based on Landau expansion. The random field is drawn from the asymmetric and anisotropic bimodal probability distribution P(hi)=pδ(hi−h0)+qδ(hi+λ∗h0), where the site probabilities p,q...

Persistent link: https://www.econbiz.de/10011063539

Position space renormalization group study of the spin-1 random semi-infinite Blume–Capel model

El Bouziani, Mohammed; Gaye, Abou; Jellal, Ahmed - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 4, pp. 689-701

We study the spin-1 Blume–Capel model under a random crystal field in the tridimensional semi-infinite case. This has been done by using the real-space renormalization group approximation and specifically the Migdal–Kadanoff technique. Interesting results are obtained, which tell us that the...

Persistent link: https://www.econbiz.de/10010873632

Interval-parameter Two-stage Stochastic Semi-infinite Programming: Application to Water Resources Management under Uncertainty

Guo, P.; Huang, G.; He, L.; Zhu, H. - In: Water Resources Management 23 (2009) 5, pp. 1001-1023

In this study, an interval-parameter two-stage stochastic semi-infinite programming (ITSSP) method was developed for water resources management under uncertainty. As a new extension of mathematical programming methods, the developed ITSSP approach has advantages in uncertainty reflection and...

Persistent link: https://www.econbiz.de/10010794850

Duality and multicritical point of two-dimensional spin glasses

Nishimori, Hidetoshi; Nemoto, Koji - In: Physica A: Statistical Mechanics and its Applications 321 (2003) 1, pp. 108-113

We present a conjecture on the exact location of the multicritical point of models of spin glasses on the two-dimensional square lattice using duality transformation. The results not only agree very well with numerical estimates but also conform excellently to the existing knowledge on annealed...

Persistent link: https://www.econbiz.de/10010589432

Exploration of crossover criticality in an aqueous electrolyte solution

Jacob, J.; Bagchi, D.; Kumar, A.; Oswal, S.L. - In: Physica A: Statistical Mechanics and its Applications 318 (2003) 1, pp. 101-112

The light scattering measurements that yield the osmotic susceptibility (χT) in a ternary liquid mixture of 3-methylpyridine+water+sodiumbromide are presented. The measurements have been performed in the one-phase region near the lower consolute points TL's of samples with different...

Persistent link: https://www.econbiz.de/10011061572

A Monte Carlo study of the anisotropic N=3 Ashkin–Teller model

Drugowich de Felı́cio, J.R.; Chahine, J.; Caticha, N. - In: Physica A: Statistical Mechanics and its Applications 321 (2003) 3, pp. 529-542

The phase diagram of an asymmetric N=3 Ashkin–Teller model is obtained by a numerical analysis which combines Monte Carlo renormalization group and reweighting techniques. Present results reveal several differences with those obtained by mean-field calculations and a Hamiltonian approach. In...

Persistent link: https://www.econbiz.de/10011061652

Ferromagnetism in multi-band Hubbard models

Tanaka, Akinori; Idogaki, Toshihiro - In: Physica A: Statistical Mechanics and its Applications 297 (2001) 3, pp. 441-484

A constructive approach is presented to study the ferromagnetism in multi-band Hubbard models whose Hamiltonians … in generating the ferromagnetism. We also introduce another type of multi-band Hubbard model which has two orbital states … two electrons on the same state, and show that the ground states of the model also exhibit the ferromagnetism. We stress …

Persistent link: https://www.econbiz.de/10010871645

Transverse susceptibilities of ferromagnetic spin wave interacting with phonon reservoir, II: Temperature dependence of line shapes

Saeki, Mizuhiko - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 11, pp. 1884-1903

A form of the transverse magnetic susceptibility of a ferromagnetic spin system with a uniaxial anisotropy energy and an anisotropic exchange interaction, interacting with a phonon reservoir, is derived in the spin-wave approximation using the TCLE method, where the phonon reservoir interacts...

Persistent link: https://www.econbiz.de/10010591336

An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism

Baňas, Ľubomír - In: Mathematics and Computers in Simulation (MATCOM) 80 (2010) 8, pp. 1657-1663

We consider a system of Maxwell’s and Landau-Lifshitz-Gilbert equations describing magnetization dynamics in micromagnetism. The problem is discretized by a convergent, unconditionally stable finite element method. A multigrid preconditioned Uzawa type method for the solution of the algebraic...

Persistent link: https://www.econbiz.de/10011050530

Critical behavior and phase diagrams of a spin-1 Blume–Capel model with random crystal field interactions: An effective field theory analysis

Yüksel, Yusuf; Akıncı, Ümit; Polat, Hamza - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 9, pp. 2819-2832

A spin-1 Blume–Capel model with dilute and random crystal fields is examined for honeycomb and square lattices by introducing an effective-field approximation that takes into account the correlations between different spins that emerge when expanding the identities. For dilute crystal fields,...

Persistent link: https://www.econbiz.de/10011058384