String tension in gonihedric three-dimensional Ising models
نویسندگان
چکیده
منابع مشابه
String tension in gonihedric 3D Ising models
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...
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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...
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We study dynamical aspects of three-dimensional gonihedric spins by using Monte-Carlo methods. These models have a purely geometrical motivation, deriving from string and random surface theory. Here, however, we shall analyze this family of models just from a statistical point of view. In particular, we shall be concerned with their ability to exhibit remarkably slow dynamics and seemingly glas...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1997
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/30/22/009