Quasipotential and the stability of phase lock in nonhysteretic Josephson junctions

The principle of minimum available noise energy is used to calculate the quasipotential over the state space of a nonhysteretic Josephson junction driven by a rf bias. This potential surface provides an intuitive picture of the dynamics of phase lock and defines a stability parameter, the activation energy for thermally induced phase slippage, which determines the optimum operating conditions for a proposed programmable voltage standard.

[1]  M. Freidlin,et al.  Random Perturbations of Dynamical Systems , 1984 .

[2]  Carl D. Reintsema,et al.  Effect of thermal noise on Shapiro steps in high‐Tc Josephson weak links , 1992 .

[3]  V. Kose,et al.  Pull‐In Phenomena of Josephson Oscillators , 1971 .

[4]  Graham,et al.  Weak-noise limit of Fokker-Planck models and nondifferentiable potentials for dissipative dynamical systems. , 1985, Physical review. A, General physics.

[5]  Richard L. Kautz,et al.  Activation energy for thermally induced escape from a basin of attraction , 1987 .

[6]  Peter Grassberger,et al.  Noise-induced escape from attractors , 1989 .

[7]  J. Clarke,et al.  Theory of the current-voltage characteristics of SNS junctions and other superconducting weak links , 1970, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[8]  S. Shapiro,et al.  Effect of microwaves on Josephson currents in superconducting tunneling , 1964 .

[9]  Richard L. Kautz,et al.  The ac Josephson effect in hysteretic junctions: Range and stability of phase lock , 1981 .

[10]  P. Russer.  Influence of Microwave Radiation on Current‐Voltage Characteristic of Superconducting Weak Links , 1972 .

[11]  D. Polder,et al.  Some analytical results for the resistively shunted Josephson junction , 1974 .

[12]  R. Kautz.  Global stability of phase lock near a chaotic crisis in the rf‐biased Josephson junction , 1987 .

[13]  M. J. Stephen.  Noise in a driven Josephson oscillator , 1969 .