Probabilistic metric spaces and hysteresis systems

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Sep 1971 English Publisher:Springer Science and Business Media LLCJournal:Communications in Mathematical Physics, volume 20, pages 205-219 (issn: 0010-3616, eissn: 1432-0916,

Copyright policy )

Authors: Erber, T.; Schweizer, B.; Sklar, A.;

doi: 10.1007/bf01646555

Probabilistic metric spaces and hysteresis systems

- Summary
- Subjects
- Metrics

Abstract

A phenomenological theory of simple hysteresis is constructed with the aid of certain concepts from the theory of probabilistic metric spaces. The predicted forms of the dependence of average energy loss per hysteresis cycle on the maximum excursion of the hysteresis coordinate agree well with experimental results.

Related Organizations

University of Massachusetts System
United States
University of Massachusetts Amherst
United States
Illinois Institute of Technology
United States

Keywords

82.65, Interacting random processes; statistical mechanics type models; percolation theory

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	7
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average