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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| Veröffentlicht in: | Annals of physics 2008-11, Vol.323 (11), p.2633-2638 |
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| container_issue | 11 |
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| container_title | Annals of physics |
| container_volume | 323 |
| creator | Meshcherov, B.R. |
| description | 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. |
| doi_str_mv | 10.1016/j.aop.2008.06.007 |
| format | Article |
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| ispartof | Annals of physics, 2008-11, Vol.323 (11), p.2633-2638 |
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| source | Elsevier ScienceDirect Journals Complete |
| 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 |
| title | How heater filaments burn out: A new type of phase transitions |
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