منابع مشابه
Statistical models on spherical geometries.
We use a one-dimensional random walk on D-dimensional hyper-spheres to determine the critical behavior of statistical systems in hyper-spherical geometries. First, we demonstrate the properties of such a walk by studying the phase diagram of a percolation problem. We find a line of second and first order phase transitions separated by a tricritical point. Then, we analyze the adsorption-desorpt...
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چکیده ندارد.
15 صفحه اولEfficient Spectral-Galerkin Methods IV. Spherical Geometries
Fast spectral-Galerkin algorithms are developed for elliptic equations on the sphere. The algorithms are based on a double Fourier expansion and have quasi-optimal (optimal up to a logarithmic term) computational complexity. Numerical experiments indicate that they are significantly more efficient and/or accurate when compared with the algorithms based on spherical harmonics and on finite diffe...
متن کاملSpiral Waves in Circular and Spherical Geometries
In this thesis we prove the existence of m-armed spiral wave solutions for the complex Ginzburg-Landau equation in the circular and spherical geometries. Instead of applying the shooting method in the literature, we establish a functional approach and generalize the known results of existence for rigidly-rotating spiral waves. Moreover, we prove the existence of two new patterns: frozen spirals...
متن کاملFully packed loop models on finite geometries
A fully packed loop (FPL) model on the square lattice is the statistical ensemble of all loop configurations, where loops are drawn on the bonds of the lattice, and each loop visits every site once [4,18]. On finite geometries, loops either connect external terminals on the boundary, or form closed circuits, see for example Figure 1. In this chapter we shall be mainly concerned with FPL models ...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1995
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.74.2410