Speaker
Description
Statistical models are widely used for investigation of complex system’s
behaviour. Most of the models considered in the literature are formulated on regular
lattices with nearest neighbour interactions. The models with non-local interaction
kernels have been less studied. In this article we investigate an example of such a
model – non-local q-color Potts model on a random d = 2 lattice. Only the same
color spins at unit distance (within some small margin δ) interact. We study the
vacuum states of this model and present the results of numerical simulations and
discuss qualitative features of the corresponding patterns. Conjectured relation with
the chromatic number of a plane problem is discussed.
Details
Aleksei Tanashkin, post-graduate student, junior researcher at Pacific Quantum Center, Far Eastern Federal University, Russian Federation
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| Is this abstract from experiment? | No |
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| Name of experiment and experimental site | N/A |
| Is the speaker for that presentation defined? | Yes |
| Internet talk | Maybe |
