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Topology of feedback in the theory of molecular field

✍ Scribed by Fedor Šrobár

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
341 KB
Volume
372
Category
Article
ISSN
0921-4526

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✦ Synopsis

Diagrammatic technique is used to represent causal structure of the Weiss theory of inner molecular field in ferromagnetism. The diagram, consisting of vertices H (applied magnetic field), H loc (local field), H i (interaction field) and M (magnetization) contains a closed path-feedback loop-that is shown to control the hysteresis phenomena. In particular, a sigmoidal M-H characteristic occurs if and only if the so-called transmission function of this loop crosses the critical level of unity at two distinct states. The formalism of transmission functions yields a differential equation of the M-H characteristics and a routine for evaluating implicit dependences. Results of numerical study are presented to demonstrate the approach.

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Topological evaluation of feedback matrices in multiple-loop feedback amplifiers
✍ Wai-kai Chen 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 713 KB

Topological formulas for the evaluation of the elements of the return difference and the null return difference matrices of a multiple-loop feedback amplifier are presented. They are expressed in terms of the directed-tree and directed-two-tree admittance products in the associated digraph. In the s