Nonlocal model for the formation of ripple topography induced by ion bombardment. Nonhomogeneous nanostructures (Q2821489)
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scientific article; zbMATH DE number 6629005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlocal model for the formation of ripple topography induced by ion bombardment. Nonhomogeneous nanostructures |
scientific article; zbMATH DE number 6629005 |
Statements
21 September 2016
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motion of charged particles
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ion traps
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nanostructures and nanoparticles
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linear functional-differential equations
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boundary value problems
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bifurcations and instability
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Nonlocal model for the formation of ripple topography induced by ion bombardment. Nonhomogeneous nanostructures (English)
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In the frame of deterministic approaches, a formulation of the non-local mathematical model of erosion processes on a surface of the planar plate under the action of an ions flow is realized. The base part of the model is composed of a nonlinear evolution equation with partial derivatives in relation to divergent spatial arguments. The equation presents a new class of functional-differential equations. A generalized periodic boundary problem on the base of the equation is stated and qualitative properties (stability, bifurcations, asymptotics) of nonostructures are investigated.
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