Non-local effects in the fermion dynamical mean-field framework; application to the two-dimensional Falicov-Kimball model

2000 ◽  
Vol 12 (10) ◽  
pp. 2209-2216 ◽  
Author(s):  
Mukul S Laad ◽  
Mathias van den Bossche
Keyword(s):  
Mean Field ◽  
Two Dimensional ◽  
Local Effects ◽  
Non Local

scholarly journals Non-local effects in the mean-field disc dynamo: II – numerical and asymptotic solutions

2004 ◽  
Vol 98 (4) ◽  
pp. 345-363 ◽  
Author(s):  
Ashley P. Willis ◽  
Anvar Shukurov ◽  
Andrew M. Soward ◽  
Dmitry Sokoloff
Keyword(s):  
Mean Field ◽  
Asymptotic Solutions ◽  
Local Effects ◽  
Non Local ◽  
The Mean

Uniaxial tension of a two-dimensional plate, taking into account non-local effects

2020 ◽  
Author(s):  
A. V. Cherednichenko ◽  
I. Yu. Savelyeva ◽  
A. P. Shukhtin
Keyword(s):  
Uniaxial Tension ◽  
Two Dimensional ◽  
Local Effects ◽  
Non Local

scholarly journals Mean-field models for segregation dynamics

2020 ◽  
pp. 1-22
Author(s):  
MARTIN BURGER ◽  
JAN-FREDERIK PIETSCHMANN ◽  
HELENE RANETBAUER ◽  
CHRISTIAN SCHMEISER ◽  
MARIE-THERESE WOLFRAM
Keyword(s):  
Random Walk ◽  
Mean Field ◽  
Single Species ◽  
Random Motion ◽  
Local Effects ◽  
Mean Field Models ◽  
Existence And Stability ◽  
Non Local ◽  
The Rich ◽  
Multiple Species

In this paper, we derive and analyse mean-field models for the dynamics of groups of individuals undergoing a random walk. The random motion of individuals is only influenced by the perceived densities of the different groups present as well as the available space. All individuals have the tendency to stay within their own group and avoid the others. These interactions lead to the formation of aggregates in case of a single species and to segregation in the case of multiple species. We derive two different mean-field models, which are based on these interactions and weigh local and non-local effects differently. We discuss existence and stability properties of solutions for both models and illustrate the rich dynamics with numerical simulations.

scholarly journals Non-local effects in the mean-field disc dynamo I. An asymptotic expansion

2000 ◽  
Vol 93 (1-2) ◽  
pp. 97-114 ◽  
Author(s):  
Vladimir Priklonsky ◽  
Anvar Shukurov ◽  
Dmitry Sokoloff ◽  
Andrew Soward
Keyword(s):  
Asymptotic Expansion ◽  
Mean Field ◽  
Local Effects ◽  
Non Local ◽  
The Mean

scholarly journals Plane wave scattering from a plasmonic nanowire-film system with the inclusion of non-local effects

2015 ◽  
Vol 23 (20) ◽  
pp. 26064 ◽  
Author(s):  
Rahul Trivedi ◽  
Yashna Sharma ◽  
Anuj Dhawan
Keyword(s):  
Plane Wave ◽  
Wave Scattering ◽  
Film System ◽  
Local Effects ◽  
Non Local ◽  
Plane Wave Scattering
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