How heater filaments burn out: A new type of phase transitions

A simple model combining the most typical features of the physical phenomena involved in Ohmic heating of conductors is proposed. The instability associated with the one-dimensional Helmholtz equation used in the model sets in when boundary conditions are imposed at the ends of a section whose lengt...

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Bibliographic Details
Published in:Annals of physics 2008-11, Vol.323 (11), p.2633-2638
Main Author: Meshcherov, B.R.
Format: Article
Language:English
Subjects:
BOUNDARY CONDITIONS
CATHODES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
EQUATIONS
FILAMENTS
Heated cathode
HEATERS
HEATING
Helmholtz equation
INSTABILITY
Mathematics
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
Phase transitions
Physics
Spatial structures
Thermodynamics
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Summary:A simple model combining the most typical features of the physical phenomena involved in Ohmic heating of conductors is proposed. The instability associated with the one-dimensional Helmholtz equation used in the model sets in when boundary conditions are imposed at the ends of a section whose length coincides with the characteristic scale governing the change in the transport properties of the system. It has been found that this mechanism gives rise to formation of spatial structures as a result of a “dimensional” phase transition.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2008.06.007