ISSN:
1572-9613
Keywords:
Electrothermal instability
;
nonuniform stationary states
;
exact solutions
;
bifurcation point
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract An exactly solvable model of the ballast resistor is considered. Analytic expressions are obtained for the nonuniform stationary temperature distributions and the correspondingI–V characteristics. A bifurcation point for Neumann boundary conditions is found and its analytic properties are discussed. It is found that the infinite wire limit plays a role analogous to the thermodynamic limit in statistical mechanics for equilibrium phase transitions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01007645
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