scholarly journals CALCULATION OF THE THERMODYNAMICAL POTENTIAL FOR THE ELECTRON-IONIC MODEL OF METAL WITH NONLOCAL INTERACTIONS

1997 ◽  
pp. 179 ◽  
Author(s):  
Yakibchuk
Keyword(s):  
Ionic Model ◽  
Thermodynamical Potential ◽  
Nonlocal Interactions

scholarly journals An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems

2020 ◽  
Vol 54 (4) ◽  
pp. 1373-1413 ◽  
Author(s):  
Huaiqian You ◽  
XinYang Lu ◽  
Nathaniel Task ◽  
Yue Yu
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Nonlocal Boundary ◽  
Nonlocal Diffusion ◽  
Order Convergence ◽  
Flux Boundary Condition ◽  
Nonlocal Interactions ◽  
Local Case ◽  
Neumann Type ◽  
Type Boundary

In this paper we consider 2D nonlocal diffusion models with a finite nonlocal horizon parameter δ characterizing the range of nonlocal interactions, and consider the treatment of Neumann-like boundary conditions that have proven challenging for discretizations of nonlocal models. We propose a new generalization of classical local Neumann conditions by converting the local flux to a correction term in the nonlocal model, which provides an estimate for the nonlocal interactions of each point with points outside the domain. While existing 2D nonlocal flux boundary conditions have been shown to exhibit at most first order convergence to the local counter part as δ → 0, the proposed Neumann-type boundary formulation recovers the local case as O(δ2) in the L∞ (Ω) norm, which is optimal considering the O(δ2) convergence of the nonlocal equation to its local limit away from the boundary. We analyze the application of this new boundary treatment to the nonlocal diffusion problem, and present conditions under which the solution of the nonlocal boundary value problem converges to the solution of the corresponding local Neumann problem as the horizon is reduced. To demonstrate the applicability of this nonlocal flux boundary condition to more complicated scenarios, we extend the approach to less regular domains, numerically verifying that we preserve second-order convergence for non-convex domains with corners. Based on the new formulation for nonlocal boundary condition, we develop an asymptotically compatible meshfree discretization, obtaining a solution to the nonlocal diffusion equation with mixed boundary conditions that converges with O(δ2) convergence.

scholarly journals Quench Dynamics of a Fermi Gas with Strong Nonlocal Interactions

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Elmer Guardado-Sanchez ◽  
Benjamin M. Spar ◽  
Peter Schauss ◽  
Ron Belyansky ◽  
Jeremy T. Young ◽  
...  
Keyword(s):  
Fermi Gas ◽  
Nonlocal Interactions ◽  
Quench Dynamics

Evidence for an ionic model of3dimpurities in metals

1976 ◽  
Vol 14 (4) ◽  
pp. 1395-1400 ◽  
Author(s):  
John A. Gardner
Keyword(s):  
Ionic Model

scholarly journals Nonlocal interactions of nucleons and anomalous off-shell behavior of two-nucleon amplitudes

2002 ◽  
Vol 65 (8) ◽  
pp. 1421-1430 ◽  
Author(s):  
R. Kh. Gainutdinov ◽  
A. A. Mutygullina
Keyword(s):  
Nonlocal Interactions

A Collective Ionic Model for Na β-Alumina—Evidence From Conductivity Measurements Between 107–1013 Hz

1976 ◽  
pp. 372-372
Author(s):  
U. Strom ◽  
P. C. Taylor ◽  
S. G. Bishop ◽  
T. L. Reinecke ◽  
K. L. Ngai
Keyword(s):  
Conductivity Measurements ◽  
Ionic Model

scholarly journals Mathematical analysis of cardiac electromechanics with physiological ionic model

2017 ◽  
Vol 22 (11) ◽  
pp. 1-35
Author(s):  
Mostafa Bendahmane ◽  
◽  
Fatima Mroue ◽  
Mazen Saad ◽  
Raafat Talhouk ◽  
...  
Keyword(s):  
Mathematical Analysis ◽  
Ionic Model ◽  
Cardiac Electromechanics

scholarly journals A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions.

2020 ◽  
Author(s):  
Marta D'Elia ◽  
Pavel Bochev ◽  
Max Gunzburger ◽  
Giacomo Capodaglio ◽  
Manuel Klar ◽  
...  
Keyword(s):  
Domain Decomposition ◽  
General Framework ◽  
Decomposition Methods ◽  
Domain Decomposition Methods ◽  
Nonlocal Interactions
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