A strong interaction theory with internal coordinates

1976 ◽  
Vol 15 (11) ◽  
pp. 841-845
Author(s):  
F. C. Hoh
Keyword(s):  
Strong Interaction ◽  
Interaction Theory ◽  
Internal Coordinates

scholarly journals UNDERSTANDING CONFINEMENT IN QCD: ELEMENTS OF A BIG PICTURE

2010 ◽  
Vol 25 (21) ◽  
pp. 4015-4031 ◽  
Author(s):  
MIKHAIL SHIFMAN
Keyword(s):  
Strong Interaction ◽  
80Th Birthday ◽  
Interaction Theory ◽  
Big Picture

I give a brief review of advances in the strong interaction theory. This talk was delivered at the Conference in honor of Murray Gell-Mann's 80th birthday, 24–26 February 2010, Singapore.

Strong interaction theory

Physics Today ◽  
1966 ◽  
Vol 19 (5) ◽  
pp. 132-137
Author(s):  
San Fu Tuan
Keyword(s):  
Strong Interaction ◽  
Interaction Theory

STRONG INTERACTION THEORY

1973 ◽  
Vol 34 (C1) ◽  
pp. C1-129-C1-140
Author(s):  
Daniele AMATI
Keyword(s):  
Strong Interaction ◽  
Interaction Theory

A study of unsteady forces at low Reynolds number: a strong interaction theory for the coaxial settling of three or more spheres

1976 ◽  
Vol 282 (1311) ◽  
pp. 585-610 ◽  
Keyword(s):  
Reynolds Number ◽  
Strong Interaction ◽  
Reynolds Numbers ◽  
Fluid Particle ◽  
Particle Interactions ◽  
Interaction Theory ◽  
Virtual Mass ◽  
Basset Force ◽  
Three Sphere ◽  
Unsteady Force

Unsteady multiparticle creeping motions are complicated by the appearance of Basset, virtual mass and acceleration forces and by the difficulty of calculating fluid-particle interactions for three or more closely spaced particles. The present theoretical and experimental investigation explores the importance of each of these complicating features by examining in detail the gravitational-hydrodynamical interaction between three or more spheres falling along a common axis. The strong interaction theory developed to describe this motion accurately satisfies the viscous boundary conditions along the surface of each sphere and includes all the unsteady force terms in the equations of motion for the spheres. The experimental measurements for the three-sphere chain are in excellent agreement with theoretical predictions provided the Basset force is retained in the dynamic force balance. These results indicate, in general, that the Basset force is the most important unsteady force in gravitational flows at low Reynolds numbers in which the flow configuration is slowly changing due to fluid-particle interactions. The unsteady theory for small but finite Reynolds numbers shows that the departures in particle spacings, due to the integrated effect of the Basset force, from those predicted by quasi-steady zero Reynolds number theory grow as $ for large times and are of the order of the particle dimensions if the duration of the interaction is of 0(Re«1a/C/t). Here Rero is based on the terminal settling velocity U t and radius a of the sphere. This condition is satisfied in most sedimentation problems of interest. Virtual mass and particle acceleration forces on the other hand, are of negligible importance except during a short-lived initial transient period. An intriguing new feature of the three-sphere motion for large times was discovered. One finds that there is a critical initial spacing criterion which determines whether the two leading spheres in the chain will asymptotically approach a zero or a finite fluid gap as time goes to infinity. Numerical solutions for longer chains show that there is a tendency for the leading third of the chain to break up into doublets and triplets whereas the spheres in the latter third of the chain tend to space out separately.

Spikes and localised patterns for a novel Schnakenberg model in the semi-strong interaction regime

2021 ◽  
pp. 1-20
Author(s):  
FAHAD AL SAADI ◽  
ALAN CHAMPNEYS ◽  
CHUNYI GAI ◽  
THEODORE KOLOKOLNIKOV
Keyword(s):  
Hopf Bifurcation ◽  
Strong Interaction ◽  
Asymptotic Expression ◽  
Its Region ◽  
Interaction Theory ◽  
Schnakenberg Model ◽  
Interaction Regime ◽  
Non Local ◽  
Two Parameter ◽  
Asymptotic Scaling

An analysis is undertaken of the formation and stability of localised patterns in a 1D Schanckenberg model, with source terms in both the activator and inhibitor fields. The aim is to illustrate the connection between semi-strong asymptotic analysis and the theory of localised pattern formation within a pinning region created by a subcritical Turing bifurcation. A two-parameter bifurcation diagram of homogeneous, periodic and localised patterns is obtained numerically. A natural asymptotic scaling for semi-strong interaction theory is found where an activator source term \[a = O(\varepsilon )\] and the inhibitor source \[b = O({\varepsilon ^2})\] , with ε2 being the diffusion ratio. The theory predicts a fold of spike solutions leading to onset of localised patterns upon increase of b from zero. Non-local eigenvalue arguments show that both branches emanating from the fold are unstable, with the higher intensity branch becoming stable through a Hopf bifurcation as b increases beyond the \[O(\varepsilon )\] regime. All analytical results are found to agree with numerics. In particular, the asymptotic expression for the fold is found to be accurate beyond its region of validity, and its extension into the pinning region is found to form the low b boundary of the so-called homoclinic snaking region. Further numerical results point to both sub and supercritical Hopf bifurcation and novel spikeinsertion dynamics.

Sign in / Sign up

Export Citation Format

Share Document