Variational principles for the linear dynamic theory of micropolar viscoelasticity

High energy approximation in dynamic theory of electron diffraction involves some intrinsic problems. First, the loss of theoretical strictness makes it difficult to comprehend the phenomena of electron diffraction. Secondly, it is difficult to believe that the approximation is reasonable especially in the following cases: 1) when accelerating voltage is not sufficiently high, 2) when the specimen is thick, 3) when the angle between the surface normal of the specimen and zone axis is large, and 4) when diffracted beam with large diffraction angle is included in the calculation. However, until now the method to calculate the many beam dynamic electron diffraction without the high energy approximation has not been proposed. For this reason, the authors propose a method to eliminate the high energy approximation in the calculation of many beam dynamic electron diffraction. In this method, a perfect crystal with flat surface was assumed. The method was applied to the calculation of [111] zone axis CBED patterns of Si.

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Variational Principles in Mathematical Physics, Geometry, and Economics

10.1017/cbo9780511760631 ◽

2009 ◽

Cited By ~ 53

Author(s):

Alexandru Kristaly ◽

Vicentiu D. Radulescu ◽

Csaba Varga

Keyword(s):

Variational Principles ◽

Mathematical Physics

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Invariant Variational Principles

10.1016/s0076-5392(08)x6105-3 ◽

1977 ◽

Keyword(s):

Variational Principles

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The Science in Hume's Science of Man

Journal of Scottish Philosophy ◽

10.3366/jsp.2020.0276 ◽

2020 ◽

Vol 18 (3) ◽

pp. 257-271

Author(s):

Tamás Demeter

Keyword(s):

Comparative Analysis ◽

Philosophy Of Science ◽

Dynamic Theory ◽

Newtonian Dynamic ◽

The Mind

This paper sketches a recently emerging divide between two interpretations of Hume's methodology and philosophy of science. On the first interpretation Hume relies on an inductive methodology and provides a (Newtonian) dynamic theory of the mind, and his philosophy of science reflects this methodology. On the second, Hume relies on inferences to the best explanation via comparative analysis of instances, and offers an anatomy of the mind relying on a chemical and organic imagery. The paper also aspires to lean the reader's sympathies toward the latter interpretation while outlining some of its potential consequences for the character of Hume's psychology, the limits of associationism, and his empiricism.

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