On the dynamics of a continuum spin system
M Lakshmanan, TW Ruijgrok, CJ Thompson - Physica A: Statistical …, 1976 - Elsevier
For a one-dimensional system of classical spins with nearest neighbour Heisenberg
interaction we derive the equation of motion for each three-dimensional spin vector. In the …
interaction we derive the equation of motion for each three-dimensional spin vector. In the …
Inversion of the Partition Function: The First‐Order Steepest‐Descent Method
MR Hoare, TW Ruijgrok - The Journal of Chemical Physics, 1970 - pubs.aip.org
This paper explains and advocates the use of a Laplace-transform steepest-descent method
for the computation of energy-level densities geE) by inversion of the partition function. The …
for the computation of energy-level densities geE) by inversion of the partition function. The …
On the energy per particle in three-and two-dimensional Wigner lattices
BRA Nijboer, TW Ruijgrok - Journal of statistical physics, 1988 - Springer
We come back to the 1979 controversy about the value of the energy per particleФ, in an
infinite Wigner lattice of electrons in a uniform compensating background. For simplicity we …
infinite Wigner lattice of electrons in a uniform compensating background. For simplicity we …
Deterministic lattice gas models
TW Ruijgrok, EGD Cohen - Physics Letters A, 1988 - Elsevier
DETERMINISTIC LATFICE GAS MODELS Th. W. RUIJGROK and EGD COHEN’ Two lattice
versions ofthe continuouswind-tree whereas for Page 1 Volume 133, number 7,8 PHYSICS …
versions ofthe continuouswind-tree whereas for Page 1 Volume 133, number 7,8 PHYSICS …
Image evolution in Hopfield networks
ACC Coolen, TW Ruijgrok - Physical Review A, 1988 - APS
We consider neural networks of the Hopfield type with couplings J ij which need not be
symmetric. From the master equation for microscopic states we derive an evolution equation for …
symmetric. From the master equation for microscopic states we derive an evolution equation for …
A completely solvable model of the nonlinear Boltzmann equation
TW Ruijgrok, TT Wu - Physica A: Statistical Mechanics and its Applications, 1982 - Elsevier
In one space and one time dimension, a model of the nonlinear Boltzmann equation is
presented that is exactly solvable for all initial conditions. Furthermore, this model has the …
presented that is exactly solvable for all initial conditions. Furthermore, this model has the …
Absence of magnetic ordering in one and two dimensions in a many-band model for interacting electrons in a metal
MB Walker, TW Ruijgrok - Physical Review, 1968 - APS
The Bogoliubov inequality is used to prove the absence of spontaneous magnetic ordering
in one and two dimensions for a many-band model for electrons in a metal interacting via the …
in one and two dimensions for a many-band model for electrons in a metal interacting via the …
Elastic constants for liquid crystals of disc-like molecules
K Sokalski, TW Ruijgrok - Physica A: Statistical Mechanics and its …, 1982 - Elsevier
Using a previously developed theory of nematic liquid crystals we present a calculation of
the order parameters and elastic constants for those liquid crystals which consist of disc-like …
the order parameters and elastic constants for those liquid crystals which consist of disc-like …
Classical relativistic equations for particles with spin moving in external fields
H Van Dam, TW Ruijgrok - Physica A: Statistical Mechanics and its …, 1980 - Elsevier
We derive equations of motion for a point particle with spin in an external electromagnetic
and in an external scalar field. The derivation is based on the ten conservation laws of linear …
and in an external scalar field. The derivation is based on the ten conservation laws of linear …
Critical slowing down and nonlinear response in an exactly solvable stochastic model
TW Ruijgrok, JA Tjon - Physica, 1973 - Elsevier
The master equation for a stochastic Ising model with long-range interaction is studied and
the spectrum of the transition matrix is solved exactly in the limit of an infinite system. The …
the spectrum of the transition matrix is solved exactly in the limit of an infinite system. The …