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A new number field construction of the lattice E8
(2013-10-01)
Known number theoretical constructions of the lattice E8 use the cyclotomic fields Q(ζ15), Q(ζ20), and Q(ζ24). In this work, an infinite family of Abelian number fields yielding rotated versions of the lattice E 8 is ...
Thermodynamic analysis of a non linear lattice
(Sociedade Brasileira de Física, 2008-09-01)
We investigate an extension of the Perard and Bishop (PB) model. In the studied model we get a harmonic one dimensional lattice chain with an additional Morse potential on site. The rotation and vibration motion of each ...
Langevin simulation of scalar fields: Additive and multiplicative noises and lattice renormalization
(Elsevier B.V., 2012-08-15)
We consider the Langevin lattice dynamics for a spontaneously broken 44 scalar field theory where both additive and multiplicative noise terms are incorporated. The lattice renormalization for the corresponding stochastic ...
On the Optimality of Finite Constellations from Algebraic Lattices
(2001-04-01)
A construction technique of finite point constellations in n-dimensional spaces from ideals in rings of algebraic integers is described. An algorithm is presented to find constellations with minimum average energy from a ...
Change of the vortex lattice symmetry in the vicinity of the macro-to-mesoscopic threshold
(Elsevier B.V., 2012-09-01)
In the present work we study the influence of the surface on the vortex structure as a function of the sample size for different temperatures. It is shown that a crossover between a hexagonal lattice, which is characteristic ...
Langevin simulation of scalar fields: Additive and multiplicative noises and lattice renormalization
(Elsevier B.V., 2012-08-15)
We consider the Langevin lattice dynamics for a spontaneously broken 44 scalar field theory where both additive and multiplicative noise terms are incorporated. The lattice renormalization for the corresponding stochastic ...
On the Optimality of Finite Constellations from Algebraic Lattices
(2001-04-01)
A construction technique of finite point constellations in n-dimensional spaces from ideals in rings of algebraic integers is described. An algorithm is presented to find constellations with minimum average energy from a ...
A new number field construction of the lattice E8
(2013-10-01)
Known number theoretical constructions of the lattice E8 use the cyclotomic fields Q(ζ15), Q(ζ20), and Q(ζ24). In this work, an infinite family of Abelian number fields yielding rotated versions of the lattice E 8 is ...
Stability of BEC Systems in Nonlinear Optical Lattices
(Springer, 2011-01-01)
The dynamics and stability of a Bose-Einstein Condensate, described by a two-dimensional nonlinear Schrodinger equation in a one-dimensional conservative plus dissipative nonlinear optical lattice, are investigated. In the ...
New p-dimensional lattices from cyclic extensions
(World Scientific Publ Co Pte Ltd, 2017-10-01)
In this work, p-dimensional point-lattices are constructed from a number field L, where L/Q is a cyclic extension of degree p, an odd unramified prime in L/Q. Families of lattices whose packing densities asymptotically ...