Projected spin wave theory. I. Diagrammatic evaluation of the kinematical interaction
Journal of Physics C: Solid State Physics, 1985The evaluation at T=0 of the kinematical effects in the spin wave theory for S=1/2 Heisenberg ferro- and antiferromagnets has been achieved, projecting out the nonphysical magnonic contribution following Herbert's method. Moreover, the projected average value has been generalised to any operator and extended to any number of projection operators by ...
L M Floria, R Navarro
openaire +1 more source
Kinematic wave theory of bottlenecks of varying capacity
Mathematical Proceedings of the Cambridge Philosophical Society, 1956ABSTRACTThis paper discusses a problem in traffic flow by the method of kinematic waves developed by Lighthill and Whitham(1,2). The theory of kinematic waves introduced by Lighthill and Whitham has been extended here to include the case when the flow q varies with the time, and it is seen that the expression for the wave velocity is of the same form ...
openaire +2 more sources
Application of the theory of kinematic waves to the centrifugation of suspensions
Ingenieur-Archiv, 1983The settling of solid particles in a liquid due to centrifugal force is described by using the equations of one-dimensional unsteady two-phase flow. By neglecting the acceleration terms the momentum equation can be reduced to a functional relationship between the dependant variables of the problem (volumetric concentration α of the solid particles and ...
G. Anestis, W. Schneider
openaire +1 more source
Kinematical theory of spiral waves in excitable media: Comparison with numerical simulations
Physica D: Nonlinear Phenomena, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mikhajlov, A. S., Zykov, V. S.
openaire +2 more sources
On kinematic waves II. A theory of traffic flow on long crowded roads
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1955This paper uses the method of kinematic waves, developed in part I, but may be read independently. A functional relationship between flow and concentration for traffic on crowded arterial roads has been postulated for some time, and has experimental backing (§2). From this a theory of the propagation of changes in traffic distribution along these roads
Lighthill, M. J., Whitham, G. B.
openaire +2 more sources
A kinematic wave theory of multi-commodity network traffic flow
Transportation Research Part B: Methodological, 2012Abstract A systematic understanding of traffic dynamics on road networks is crucial for many transportation studies and can help to develop more efficient ramp metering, evacuation, signal control, and other management and control strategies. In this study, we present a theory of multi-commodity network traffic flow based on the Lighthill–Whitham ...
openaire +1 more source
A simplified theory of kinematic waves in highway traffic, part I: General theory
Transportation Research Part B: Methodological, 1993Abstract In the theory of “kinematic waves,” as described originally by Lighthill and Whitham in 1955, the evaluation of the shock path is typically rather tedious. Instead of using this theory to evaluate flows or densities, one can use it to evaluate the cumulative flow A ( x , t ) past any point x by time t .
openaire +1 more source
Macroscopic Modeling Framework Unifying Kinematic Wave Modeling and Three-Phase Traffic Theory
Transportation Research Record: Journal of the Transportation Research Board, 2008Modeling breakdown probabilities or phase-transition probabilities is an important issue when assessing and predicting the reliability of traffic flow operations. Looking at empirical spatiotemporal patterns, these probabilities clearly are a function not only of the local prevailing traffic conditions (density, speed) but also of time and space.
Serge P. Hoogendoorn +2 more
openaire +1 more source
The application of kinematic wave theory to wave trains and packets with small dissipation
The Physics of Fluids, 1982The validity of kinematic wave theory for linear waves with small dissipation propagating through a homogeneous medium is examined with the aid of the higher-order theory of Chin. It is shown that both for nondissipative and weakly-dissipative waves the kinematic theory holds with errors of order ε2 for times of order ε−1 times the wave period, where ε
openaire +1 more source
A variational formulation of kinematic waves: basic theory and complex boundary conditions
Transportation Research Part B: Methodological, 2005Abstract This paper proves that the solution of every well-posed kinematic wave (KW) traffic problem with a concave flow-density relation is a set of least-cost (shortest) paths in space-time with a special metric. The equi-cost contours are the vehicle trajectories. If the flow-density relation is strictly concave the set of shortest paths is unique
openaire +1 more source

