2,642 research outputs found
A Java implementation of Coordination Rules as ECA Rules
This paper gives an insight in to the design and implementation of the coordination rules as ECA rules. The language specifications of the ECA rules were designed and the corresponding implementation of the same using JAVA as been partially done. The paper also hints about the future work in this area which deals with embedding this code in JXTA, thus enabling to form a P2P layer with JXTA as the back bone
Neel order, quantum spin liquids and quantum criticality in two dimensions
This paper is concerned with the possibility of a direct second order
transition out of a collinear Neel phase to a paramagnetic spin liquid in two
dimensional quantum antiferromagnets. Contrary to conventional wisdom, we show
that such second order quantum transitions can potentially occur to certain
spin liquid states popular in theories of the cuprates. We provide a theory of
this transition and study its universal properties in an expansion.
The existence of such a transition has a number of interesting implications for
spin liquid based approaches to the underdoped cuprates. In particular it
considerably clarifies existing ideas for incorporating antiferromagnetic long
range order into such a spin liquid based approach.Comment: 18 pages, 17 figure
Lie symmetries, Kac-Moody-Virasoro algebras and integrability of certain (2+1)-dimensional nonlinear evolution equations
In this paper we study Lie symmetries, Kac-Moody-Virasoro algebras,
similarity reductions and particular solutions of two different recently
introduced (2+1)-dimensional nonlinear evolution equations, namely (i)
(2+1)-dimensional breaking soliton equation and (ii) (2+1)-dimensional
nonlinear Schr\"odinger type equation introduced by Zakharov and studied later
by Strachan. Interestingly our studies show that not all integrable higher
dimensional systems admit Kac-Moody-Virasoro type sub-algebras. Particularly
the two integrable systems mentioned above do not admit Virasoro type
subalgebras, eventhough the other integrable higher dimensional systems do
admit such algebras which we have also reviewed in the Appendix. Further, we
bring out physically interesting solutions for special choices of the symmetry
parameters in both the systems
Liouville numbers, Liouville sets and Liouville fields
Following earlier work by E.Maillet 100 years ago, we introduce the
definition of a Liouville set, which extends the definition of a Liouville
number. We also define a Liouville field, which is a field generated by a
Liouville set. Any Liouville number belongs to a Liouville set S having the
power of continuum and such that the union of S with the rational number field
is a Liouville field.Comment: Proceedings of the American Mathematical Society, to appea
Liouville Numbers and Schanuel's Conjecture
In this paper, using an argument of P. Erdos, K. Alniacik and E. Saias, we
extend earlier results on Liouville numbers, due to P. Erdos, G.J. Rieger, W.
Schwarz, K. Alniacik, E. Saias, E.B. Burger. We also produce new results of
algebraic independence related with Liouville numbers and Schanuel's
Conjecture, in the framework of G delta-subsets.Comment: Archiv der Math., to appea
Nonintegrability of (2+1)-dimensional continuum isotropic Heisenberg spin system: Painlev\'e analysis
While many integrable spin systems are known to exist in (1+1) and (2+1)
dimensions, the integrability property of the physically important (2+1)
dimensional isotropic Heisenberg ferromagnetic spin system in the continuum
limit has not been investigated in the literature. In this paper, we show
through a careful singularity structure analysis of the underlying nonlinear
evolution equation that the system admits logarithmic type singular manifolds
and so is of non-Painlev\'e type and is expected to be nonintegrable.Comment: 11 pages. to be published in Phys. Lett. A (2006
Long-range sediment transport in the world’s oceans by stably stratified turbidity currents
Peer reviewedPublisher PD
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