منابع مشابه
Gonihedric 3D Ising actions
We investigate a generalized Ising action containing nearest neighbour, next to nearest neighbour and plaquette terms that has been suggested as a potential string worldsheet discretization on cubic lattices by Savvidy and Wegner. We use both mean field techniques and Monte-Carlo simulations to sketch out the phase diagram. The Gonihedric (Savvidy-Wegner) model has a symmetry that allows any pl...
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For the 3D gonihedric Ising models defined by Savvidy and Wegner the bare string tension is zero and the energy of a spin interface depends only on the number of bends and self-intersections, in antithesis to the standard nearest-neighbour 3D Ising action. When the parameter κ weighting the self-intersections is small the model has a first order transition and when it is larger the transition i...
متن کاملGonihedric Ising Actions
where the sum is over the edges of some triangulated surface, θ(αij) = |π − αij | ζ , ζ is some exponent, and αij is the dihedral angle between neighbouring triangles with common link < ij >. This definition of the action was inspired by the geometrical notion the linear size of a surface, originally defined by Steiner. In equ.(1) it is the surface itself that is discretized, rather than the sp...
متن کاملLow temperature expansion of the gonihedric Ising model
We investigate a model of closed (d − 1)-dimensional soft-self-avoiding random surfaces on a d-dimensional cubic lattice. The energy of a surface configuration is given by E = J(n2 + 4k n4), where n2 is the number of edges, where two plaquettes meet at a right angle and n4 is the number of edges, where 4 plaquettes meet. This model can be represented as a Z2-spin system with ferromagnetic neare...
متن کاملFinite size analysis of the 3 - d Gonihedric Ising model with κ = 0
We perform a high statistics analysis of the phase transition for the 3D Gonihedric Ising model with κ = 0. This corresponds to an enhanced symmetry point in a class of models defined by Savvidy and Wegner which were originally intended as discrete versions of string theories on cubic lattices. In a previous paper it was shown that the model appeared to display a distinct first order phase tran...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2011
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/44/29/295004