Long range force on a dislocation loop due to grain boundary

1970 ◽  
Vol 20 (12) ◽  
pp. 1278-1284 ◽  
Author(s):  
I. Vagera
Keyword(s):  
Grain Boundary ◽  
Long Range ◽  
Dislocation Loop ◽  
Range Force

KINETIC EQUATION FOR A GAS WITH LONG-RANGE ATTRACTION

1967 ◽  
Vol 45 (11) ◽  
pp. 3555-3567 ◽  
Author(s):  
R. A. Elliott ◽  
Luis de Sobrino
Keyword(s):  
Kinetic Equation ◽  
Long Range ◽  
Short Range ◽  
Kinetic Equations ◽  
Perturbation Expansion ◽  
Interparticle Distance ◽  
Range Interaction ◽  
Short Range Repulsion ◽  
Self Consistent Field ◽  
Range Force

A classical gas whose particles interact through a weak long-range attraction and a strong short-range repulsion is studied. The Liouville equation is solved as an infinite-order perturbation expansion. The terms in this series are classified by Prigogine-type diagrams according to their order in the ratio of the range of the interaction to the average interparticle distance. It is shown that, provided the range of the short-range force is much less than the average interparticle distance which, in turn, is much less than the range of the long-range force, the terms can be grouped into two classes. The one class, represented by chain diagrams, constitutes the significant contributions of the short-range interaction; the other, represented by ring diagrams, makes up, apart from a self-consistent field term, the significant contributions from the long-range force. These contributions are summed to yield a kinetic equation. The orders of magnitude of the terms in this equation are compared for various ranges of the parameters of the system. Retaining only the dominant terms then produces a set of eight kinetic equations, each of which is valid for a definite range of the parameters of the system.

scholarly journals Fractional Dp-branes with transverse and tangential dynamics in the presence of background fluxes

2018 ◽  
Vol 33 (18n19) ◽  
pp. 1850107
Author(s):  
Shiva Heidarian ◽  
Davoud Kamani
Keyword(s):  
Long Range ◽  
Space Time ◽  
Gauge Potential ◽  
Boundary States ◽  
Range Force

We shall construct two boundary states which are corresponding to a dynamical fractional D[Formula: see text]-brane in the presence of the fluxes of the Kalb–Ramond field and a [Formula: see text] gauge potential in the partially orbifold space–time [Formula: see text]. These states accurately describe the D[Formula: see text]-brane in the twisted and untwisted sectors under the orbifold projection. We use them to compute the interaction of two parallel fractional D[Formula: see text]-branes with the transverse velocities, tangential rotations and tangential linear motions. Various properties of the interaction, such as its long-range force, will be discussed.

In situ TEM and multiscale study of dislocation loop formation in the vicinity of a grain boundary

2020 ◽  
Vol 528 ◽  
pp. 151872 ◽  
Author(s):  
Qingshan Dong ◽  
Peyman Saidi ◽  
Laurent K. Béland ◽  
Zhongwen Yao ◽  
Cong Dai ◽  
...  
Keyword(s):  
Grain Boundary ◽  
Dislocation Loop ◽  
In Situ Tem ◽  
Loop Formation

The Casimir effect leads to new restrictions on long-range force constants

1987 ◽  
Vol 125 (8) ◽  
pp. 405-408 ◽  
Author(s):  
V.M. Mostepanenko ◽  
I.Yu. Sokolov
Keyword(s):  
Long Range ◽  
Casimir Effect ◽  
Force Constants ◽  
Range Force

scholarly journals Three-BodypdScattering with a Possible Long-Range Force

2010 ◽  
Vol 3 ◽  
pp. 05023 ◽  
Author(s):  
S. Oryu ◽  
Y. Hiratsuka ◽  
T. Watanabe ◽  
T. Sawada ◽  
S. Gojuki
Keyword(s):  
Long Range ◽  
Range Force
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