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The interface tension of the three-dimensional Ising model in two-loop order

Peter Hoppe, Gernot Münster

arXiv:cond-mat/9708212Physics Letters AFeb 1, 199820 citations

Surface tension and universality in the three-dimensional Ising model

K. K. Mon, David Jasnow

Journal of Statistical PhysicsOct 1, 198526 citations

Renormalisation group calculation of the interfacial tension for the three-dimensional Ising model

Goranka Bilalbegović

The European Physical Journal BMar 1, 19872 citations

Surface tension, surface stiffness, and surface width of the 3-dimensional Ising model on a cubic lattice

M. Hasenbusch, K. Pinn

arXiv:hep-lat/9211010Nuclear Physics B - Proceedings SupplementsMar 1, 19933 citations

String tension in gonihedric three-dimensional Ising models

M. Baig, Domènec Espriu, Desmond A. Johnston +1 more

For the three-dimensional 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 three-dimensional Ising action. When the parameter , weighting the self-intersections, is small the model has a first-order transition and when it is larger the transition is continuous. In this paper we investigate the scaling of the renormalized string tension, which is entirely generated by fluctuations, using Monte Carlo simulations for , 0.1, 0.5 and 1.0. The scaling of the string tension allows us to obtain an estimate for the critical exponents and using both finite-size scaling and data collapse for the scaling function. The behaviour of the string tension when the self-avoidance parameter is small also clearly demonstrates the first-order nature of the transition in this case, in contrast to larger values. Direct estimates of are in good agreement with those obtained from the scaling of the string tension. We have also measured .For the three-dimensional 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 three-dimensional Ising action. When the parameter , weighting the self-intersections, is small the model has a first-order transition and when it is larger the transition is continuous. In this paper we investigate the scaling of the renormalized string tension, which is entirely generated by fluctuations, using Monte Carlo simulations for , 0.1, 0.5 and 1.0. The scaling of the string tension allows us to obtain an estimate for the critical exponents and using both finite-size scaling and data collapse for the scaling function. The behaviour of the string tension when the self-avoidance parameter is small also clearly demonstrates the first-order nature of the transition in this case, in contrast to larger values. Direct estimates of are in good agreement with those obtained from the scaling of the string tension. We have also measured .

arXiv:hep-lat/9703008Journal of Physics A Mathematical and GeneralNov 21, 199717 citations

Particles, string and interface in the three-dimensional Ising model

Gesualdo Delfino A, Walter Selke, Alessio Squarcini

We consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes of the underlying field theory. The product of the surface tension and the correlation length yields the particle density along the string whose propagation spans the interface. We also determine the order parameter and energy density profiles across the interface, and show that they are in complete agreement with Monte Carlo simulations that we perform.We consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes of the underlying field theory. The product of the surface tension and the correlation length yields the particle density along the string whose propagation spans the interface. We also determine the order parameter and energy density profiles across the interface, and show that they are in complete agreement with Monte Carlo simulations that we perform.

arXiv:1906.03176Nuclear Physics BAug 4, 202018 citations

The interface tension of the three-dimensional Ising model in the scaling region

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