articleTop 1% cited
A relation between the temperature exponents of the eight-vertex and q-state Potts model
Journal of Physics A Mathematical and General · 1979 · Vol. 12(10) · pp. 1857–1868
Abstract
The mapping of the critical points in the q-state model for q<or=4 onto the Baxter line in the eight-vertex model makes it possible, by a comparison of the exactly known critical exponent yT8v with the approximately known values for yTP, to conjecture the relation (yT8v-2)(yTP-3)=3. This relation confirms weak universality.
Theoretical and Computational PhysicsAlgebraic structures and combinatorial modelsQuantum many-body systemsPotts modelExponentCritical exponentUniversality (dynamical systems)MathematicsConjectureVertex (graph theory)CombinatoricsMathematical physicsStatistical physics
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References
Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model
Physical review. B, Solid state · 1977 · 1,899 citations
Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
Physical Review · 1944 · 6,364 citations
Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1971 · 1,010 citations
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