174 citations · 458 across the 10 of their papers we have counts for
10 papers
Topology, Vorticity and Limit Cycle in a Stabilized Kuramoto-Sivashinsky Equation
Yong-Cong Chen, Chunxiao Shi, J. M. Kosterlitz +2
A noisy stabilized Kuramoto-Sivashinsky equation is analyzed by stochastic decomposition. For values of control parameter for which periodic stationary patterns exist, the dynamics…
Wavenumber Selection in Pattern Forming Systems
S. Saxena, J. M. Kosterlitz
Wavenumber selection in pattern forming systems remains a long standing puzzle in physics. Previous studies have shown that external noise is a possible mechanism for wavenumber se…
Consistent Hydrodynamics for Phase Field Crystals
V. Heinonen, C. V. Achim, J. M. Kosterlitz +3
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…
State selection in the noisy stabilized Kuramoto-Sivashinsky equation
D. Obeid, J. M. Kosterlitz, B. Sandstede
In this work, we study the 1D stabilized Kuramoto Sivashinsky equation with additive uncorrelated stochastic noise. The Eckhaus stable band of the deterministic equation collapses…
Sharp interface limits of phase-field models
K. R. Elder, Martin Grant, Nikolas Provatas +1
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…
A Simple Model for Anisotropic Step Growth
J. Heinonen, I. Bukharev, T. Ala-Nissila +1
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 ed…
Phase diagram of the restricted solid-on-solid model coupled to the Ising model
Sooyeul Lee, Koo-Chul Lee, J. M. Kosterlitz
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 tr…
Conformal Anomaly and Critical Exponents of the XY-Ising Model
M. P. Nightingale, E. Granato, J. M. Kosterlitz
We use extensive Monte Carlo transfer matrix calculations on infinite strips of widths up to 30 lattice spacing and a finite-size scaling analysis to obtain critical exponents…
Numerical Studies of the Two Dimensional XY Model with Symmetry Breaking Fields
T. Ala-Nissila, E. Granato, K. Kankaala +2
We present results of numerical studies of the two dimensional XY model with four and eight fold symmetry breaking fields. This model has recently been shown to describe hydrogen i…
Scaling Exponents for Kinetic Roughening in Higher Dimensions
T. Ala-Nissila, T. Hjelt, J. M. Kosterlitz +1
We discuss the results of extensive numerical simulations in order to estimate the scaling exponents associated with kinetic roughening in higher dimensions, up to d=7+1. To this e…