Self-Averaging
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A self-averaging physical property of a disordered system is one that can be described by averaging over a sufficiently large sample. The concept was introduced by Ilya Mikhailovich Lifshitz.Frequently in physics one comes across situations where quenched randomness plays an important role. Any physical property X of such a system, would require an averaging over all disorder realisations. The system can be completely described by the average [X] where [cdots] denotes an averaging over realisations ( averaging over samples ) provided the relative variance RX = VX/[X]2 0 for large X, where VX = [X2] [X]2. In such a scenario a single large system is sufficient to represent the whole ensemble. Such quantities are called self-averaging. Away from criticality, when the larger lattice is built from smaller blocks, then due to the additivity property of an extensive quantity, the central limit theorem guarantees that RX N 1 thereby ensuring self-averaging. On the other hand, at the critical point, the question whether X is self-averaging or not becomes nontrivial, due to long range correlations.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786138567646
- Auflage Aufl.
- Editor Claus Matthias Benedict
- Sprache Englisch
- Größe H220mm x B220mm
- Jahr 2011
- EAN 9786138567646
- Format Kartonierter Einband (Kt)
- ISBN 978-613-8-56764-6
- Titel Self-Averaging
- Untertitel Ilya Lifshitz
- Herausgeber PHON
- Anzahl Seiten 76
- Genre Naturwissenschaften allgemein
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