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- J Michael Kosterlitz
- Journal of physics. Condensed matter : an…
- 2016

We study the phase transitions of a restricted solid-on-solid model coupled to an Ising model, which can be derived from the coupled XY-Ising model. There are two kinds of phase transition lines. One… (More)

- Ken R. Elder, Martin Grant, Nikolas Provatas, J Michael Kosterlitz
- Physical review. E, Statistical, nonlinear, and…
- 2001

The use of continuum phase-field models to describe the motion of well-defined interfaces is discussed for a class of phenomena that includes order-disorder transitions, spinodal decomposition and… (More)

- Fran cois Drolet, Ken R. Elder, Martin Grant, J Michael Kosterlitz
- Physical review. E, Statistical physics, plasmas…
- 2000

A phase-field model of eutectic growth is proposed in terms of a free energy F, which is a functional of a liquid-solid order parameter psi, and a conserved concentration field c. The model is shown… (More)

We construct a hamiltonian lattice gauge theory which possesses local SU(2) gauge invariance and yet is defined on a Hilbert space of 5-dimensional real vectors for every link. This construction does… (More)

- Johannes Heinonen, I. Bukharev, Tapio Ala-Nissila, J Michael Kosterlitz
- 1998

We consider a simple model for the growth of isolated steps on a vicinal crystal surface. It incorporates diffusion and drift of adatoms on the terrace, and strong step and kink edge barriers. Using… (More)

The XY model with quenched random disorder is studied numerically at T 1⁄4 0 by a defect scaling method as a model of a disordered superconductor. In 3D we find that, in the absence of screening, a… (More)

- J Michael Kosterlitz
- Reports on progress in physics. Physical Society
- 2016

This article reviews, from a very personal point of view, the origins and the early work on transitions driven by topological defects such as vortices in the two dimensional planar rotor model and in… (More)

- Vili Heinonen, Cristian Vasile Achim, J Michael Kosterlitz, S. C. Ying, John Lowengrub, Tapio Ala-Nissila
- Physical review letters
- 2016

We use the amplitude expansion in the phase field crystal framework to formulate an approach where the fields describing the microscopic structure of the material are coupled to a hydrodynamic… (More)

The three dimensional XY model with quenched random disorder is studied in the strong screening limit, λ→ 0, by defect energy scaling at zero temperature. In zero external field we find that there… (More)