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Название: An Electrothermal Instability in a Conducting Wire: Homogeneous and Inhomogeneous Stationary States for an Exactly Solvable Model
Авторы: Mazur P., Bedeaux D.
Journal of Statistical Physics, Vol. 24, No. 1, 1981. p. 215-233.
An exactly solvable model of the ballast resistor is considered. Analytic expressions are obtained for the nonuniform stationary temperature distributions and the corresponding I-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.