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Title: Some puzzles about logarithmic relaxations and a few possible resolutions

Abstract

Three subjects are examined in connection with the relaxation of an electron glass. 1. In most cases the experimental decay time τ is found to relate to a history of the system rather than to the time it takes to reach equilibrium. The reason is that in a non-ergodic system equilibrium cannot be reached in any experiment but the knowledge of an equilibrium property is essential in evaluating the time to reach it. 2. An alternative theory is proposed for the interpretation of aging experiments. The proposed theory is deemed to better represent the physics and is more in keeping with the relaxation theory. 3. A current relaxation theory for the electron glass fails to take into account a certain renewal process during the evolution of the relaxation, namely the possibility of fast transitions following a slow transition. Ramifications of such a neglect are explored.

Authors:
 [1]
  1. Dept. of Physics, University of California, Riverside, CA (United States)
Publication Date:
OSTI Identifier:
22308264
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1610; Journal Issue: 1; Conference: TIDS15: 15. international conference on transport in interacting disordered systems, Sant Feliu de Guixols (Spain), 1-5 Sep 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AGING; CURRENTS; ELECTRONS; EQUILIBRIUM; RELAXATION; RESOLUTION

Citation Formats

Pollak, M. Some puzzles about logarithmic relaxations and a few possible resolutions. United States: N. p., 2014. Web. doi:10.1063/1.4893512.
Pollak, M. Some puzzles about logarithmic relaxations and a few possible resolutions. United States. doi:10.1063/1.4893512.
Pollak, M. Wed . "Some puzzles about logarithmic relaxations and a few possible resolutions". United States. doi:10.1063/1.4893512.
@article{osti_22308264,
title = {Some puzzles about logarithmic relaxations and a few possible resolutions},
author = {Pollak, M.},
abstractNote = {Three subjects are examined in connection with the relaxation of an electron glass. 1. In most cases the experimental decay time τ is found to relate to a history of the system rather than to the time it takes to reach equilibrium. The reason is that in a non-ergodic system equilibrium cannot be reached in any experiment but the knowledge of an equilibrium property is essential in evaluating the time to reach it. 2. An alternative theory is proposed for the interpretation of aging experiments. The proposed theory is deemed to better represent the physics and is more in keeping with the relaxation theory. 3. A current relaxation theory for the electron glass fails to take into account a certain renewal process during the evolution of the relaxation, namely the possibility of fast transitions following a slow transition. Ramifications of such a neglect are explored.},
doi = {10.1063/1.4893512},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1610,
place = {United States},
year = {Wed Aug 20 00:00:00 EDT 2014},
month = {Wed Aug 20 00:00:00 EDT 2014}
}
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