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ROTOR-ROUTER AGGREGATION ON THE LAYERED SQUARE LATTICE
ROTOR-ROUTER AGGREGATION LAYERED SQUARE LATTICE
2015/8/14
In rotor-router aggregation on the square lattice Z2, particles starting at the origin perform deterministic analogues of random walks until reaching an unoccupied site. The limiting shape of the clus...
Coupled-wave model for square-lattice photonic-crystal lasers with TE polarization -- a general approach
Coupled-wave model square-lattice photonic-crystal lasers TE polarization
2011/8/3
Abstract: A general coupled-wave model is presented for square-lattice photonic crystal (PC) lasers with transverse-electric polarization. This model incorporates the high-order coupling effects that ...
Discrete breathers on symmetry-determined invariant manifolds for scalar models on the plane square lattice
Discrete breathers symmetry-determined invariant manifolds scalar models plane square lattice
2011/7/5
A group-theoretical approach for studying localized periodic and quasiperiodic vibrations in 2D
and 3D lattice dynamical models is developed. This approach is demonstrated for the scalar mod-
els on...
Enumeration of closed random walks in the square lattice according to their areas
Enumeration of closed random square lattice
2011/2/22
We study the area distribution of closed walks of length n, begin-ning and ending at the origin. The concept of area of a walk in the square lattice is generalized and the usefulness of the new concep...
Magnetic phase diagram of spatially anisotropic, frustrated spin-1/2 Heisenberg antiferromagnet on a stacked square lattice
Magnetic phase diagram of spatially anisotropic stacked square lattice
2010/11/17
Magnetic phase diagram of a spatially anisotropic, frustrated spin- 12 Heisenberg antiferromagnet on a stacked square lattice is investigated using second-order spin-wave expansion.
T=0 Partition Functions for Potts Antiferromagnets on Square Lattice Strips with (Twisted) Periodic Boundary Conditions
Functions Potts Antiferromagnets Periodic Boundary Conditions
2010/11/2
We present exact calculations of the zero-temperature partition function for the q-state Potts antiferromagnet (equivalently, the chromatic polynomial) for two families of arbitrarily long strip graph...
Magnetic Diffuse Scattering in the Frustrated Square Lattice
Magnetic Diffuse Scattering Frustrated Square Lattice
2010/4/19
Some of the first transition metal alloys show first order antiferromagnetic phase transition as a function of alloy concentration [1-5]. The antiferromagnetism of materials can be classified into thr...