Non-local models of pion-nucleon, pion-hyperon interactions

1957 ◽  
Vol 5 (3) ◽  
pp. 666-683 ◽  
Author(s):  
P. Budini ◽  
L. Fonda
Keyword(s):  
Local Models ◽  
Pion Nucleon ◽  
Non Local

Consistent tangent operators for implicit non-local models of integral type

2014 ◽  
Vol 141 ◽  
pp. 59-73 ◽  
Author(s):  
F.X.C. Andrade ◽  
F.M. Andrade Pires ◽  
J.M.A. Cesar de Sa
Keyword(s):  
Local Models ◽  
Integral Type ◽  
Non Local

A model of non-local pion nucleon interaction

1964 ◽  
Vol 58 ◽  
pp. 432-438 ◽  
Author(s):  
Guru Vachan Dass ◽  
Tulsi Dass
Keyword(s):  
Nucleon Interaction ◽  
Pion Nucleon ◽  
Non Local

scholarly journals A space-jump derivation for non-local models of cell-cell adhesion and non-local chemotaxis

2016 ◽  
Author(s):  
Andreas Buttenschön ◽  
Thomas Hillen ◽  
Alf Gerisch ◽  
Kevin J. Painter
Keyword(s):  
Random Walk ◽  
Mean Field ◽  
Polarization Vector ◽  
Jump Process ◽  
Biological Properties ◽  
Cellular Adhesion ◽  
Cell Polarization ◽  
Local Models ◽  
A Cell ◽  
Non Local

AbstractCellular adhesion provides one of the fundamental forms of biological interaction between cells and their surroundings, yet the continuum modelling of cellular adhesion has remained mathematically challenging. In 2006, Armstrong et al. proposed a mathematical model in the form of an integro-partial differential equation. Although successful in applications, a derivation from an underlying stochastic random walk has remained elusive. In this work we develop a framework by which non-local models can be derived from a space-jump process. We show how the notions of motility and a cell polarization vector can be naturally included. With this derivation we are able to include microscopic biological properties into the model. We show that particular choices yield the original Armstrong model, while others lead to more general models, including a doubly non-local adhesion model and non-local chemotaxis models. Finally, we use random walk simulations to confirm that the corresponding continuum model represents the mean field behaviour of the stochastic random walk.

Modern or post-modern? Local or non-local? A response to Leick

Homeopathy ◽  
2008 ◽  
Vol 97 (02) ◽  
pp. 100-102 ◽  
Author(s):  
Harald Walach
Keyword(s):  
Local Models ◽  
World Views ◽  
Cultural Shift ◽  
Non Local

Most debates in science and the humanities that cannot be settled are not about truth, nor about data, but about beliefs and world views. Philippe Leick's comment on entanglement models of homeopathy are a good example. Because of this, no argument, however, convincing to some, will settle that debate. The only thing that can resolve it is a large cultural shift. My own ideas about non-local models, for a whole category of possibly similar events of which homeopathy is but one example.

Long-range wall perturbations in dense granular flows

2014 ◽  
Vol 764 ◽  
pp. 171-192 ◽  
Author(s):  
Pierre G. Rognon ◽  
Thomas Miller ◽  
Bloen Metzger ◽  
Itai Einav
Keyword(s):  
Shear Rate ◽  
Power Law ◽  
Eddy Viscosity ◽  
Granular Flows ◽  
Length Scale ◽  
Local Models ◽  
Plane Shear ◽  
Eddy Viscosity Model ◽  
Non Local ◽  
Dense Granular Flows

AbstractWe explore how the rheology of dense granular flows is affected by the presence of sidewalls. The study is based on discrete element method simulations of plane-shear flows between two rough walls, prescribing both the normal stress and the shear rate. Results confirm previous observations for different systems: large layers near the walls develop where the local viscosity is not constant, but decreases when approaching the walls. The size of these layers can reach several dozen grain diameters, and is found to increase when the flow decelerates, as a power law of the inertial number. Two non-local models are found to adequately explain such features, namely the kinetic elasto-plastic fluidity (KEP) model and the eddy viscosity model (EV). The analysis of the internal kinematics further shows that the vorticity and its associated length scale may be a key component of these non-local behaviours.

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