53,068 research outputs found
Extension of a new method for locating critical temperatures
We investigate recently proposed method for locating critical temperatures
and introduce some modifications which allow to formulate exact criterion for
any self-dual model. We apply the modified method for the Ashkin-Teller model
and show that the exact result for a critical temperature is reproduced. We
test also a two-layer Ising model for the presence of eventual self-duality.Comment: 3 pages, Latex, espcrc2.sty, Talk given at Lattice'9
Orbit based procedure for doublets of scalar fields and the emergence of triple kinks and other defects
In this work we offer an approach to enlarge the number of exactly solvable
models with two real scalar fields in (1+1)D. We build some new two-field
models, and obtain their exact orbits and exact or numerical field
configurations. It is noteworthy that a model presenting triple-kinks and
double-flat-top lumps is among those new models
Derived Subgroups of Fixed Points in Profinite Groups
The main result of this paper is the following theorem. Let q be a prime, A
an elementary abelian group of order q^3. Suppose that A acts as a coprime
group of automorphisms on a profinite group G in such a manner that C_G(a)' is
periodic for each nontrivial element a in A. Then G' is locally finite.Comment: To appear in Glasgow Mathematical Journal (2011). 11 page
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