Pure thermodynamical phases as extremal KMS states

GG Emch, HJF Knops - Journal of mathematical physics, 1970 - pubs.aip.org
We compare the dynamical characterization of pure thermodynamical phases as extremal
KMS states and their characterization as extremal time‐ or space‐invariant states. We find that…

On Kadanoff's approximate renormalization group transformation

HJF Knops - Physica A: Statistical Mechanics and its Applications, 1977 - Elsevier
The fixed point structure resulting from the approximate renormalization group equations
obtained by shifting bonds on the square Ising lattice is considered as a function of a free …

19-vertex version of the fully frustrated XY model

YMM Knops, B Nienhuis, HJF Knops, HWJ Blöte - Physical Review B, 1994 - APS
We investigate a 19-vertex version of the two-dimensional fully frustrated XY (FFXY) model.
We construct Yang-Baxter equations for this model and show that there is no solution. …

Exact Relation between the Solid-on-Solid Model and the Model

HJF Knops - Physical Review Letters, 1977 - APS
An exact relation is established between the solid-on-solid model describing the growth of
crystals and the classical XY model. Application of this relation to a special case leads to an …

Dynamic scaling in polycrystalline growth

JM Thijssen, HJF Knops, AJ Dammers - Physical Review B, 1992 - APS
The dynamic scaling properties of a polycrystalline growth model proposed by Van der Drift
are discussed. We present an analytic derivation of the dynamic exponent, describing the …

Analysis of a new set of renormalization equations for the Kosterlitz-Thouless transition

JM Thijssen, HJF Knops - Physical Review B, 1988 - APS
A new and more direct derivation is given of an extended set of renormalization equations
for the two-dimensional Coulomb gas. Our equations are equivalent to those proposed by …

Onset of sliding friction in incommensurate systems

L Consoli, HJF Knops, A Fasolino - Physical review letters, 2000 - APS
We study the dynamics of an incommensurate chain sliding on a periodic lattice, modeled by
the Frenkel-Kontorova Hamiltonian with initial kinetic energy, without damping and driving …

Renormalization-group results for the Blume-Capel model in two and three dimensions

TW Burkhardt, HJF Knops - Physical Review B, 1977 - APS
A Kadanoff lower-bound renormalization transformation with three variational parameters
has been applied to the Blume-Capel model by Burkhardt. We report some additional results …

Nonequilibrium free energy and kinetic roughening of steps on the Kossel (001) surface

HM Cuppen, H Meekes, WJP Van Enckevort, E Vlieg… - Physical Review B, 2004 - APS
This paper studies the nonequilibrium energetics of growth steps. It discusses the energy
and free energy of a [100] step on a Kossel (001) crystal surface as a function of the driving …

Determination of the Ising critical temperature of F slices with an application to garnet

JJM Rijpkema, HJF Knops, P Bennema… - Journal of Crystal …, 1983 - Elsevier
In this paper a general and simple method to calculate exactly the critical temperature for
Ising nets on periodic structures is introduced. The method can be used to predict the …