Unformatted text preview: Jc, x = ; 0 .
Show that in the overdamped regime, the saddle point equation S= = 0 can be
satis ed by a Lorentz function ansatz
(t) = 0 + t2 + 2
Find A and and evaluate the action. Compare with the result found above for = 0.
c) Consider the decay of an overdamped Josephson junction at a nite temperature.
Estimate the temperature above which the T = 0 solution found in part b) is substantially
modi ed. Describe the crossover from the tunneling to the Arrhenius regime in terms of
the dependence ln W vs. .
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This note was uploaded on 02/12/2014 for the course PHYS 8.514 taught by Professor Leonidlevitov during the Fall '04 term at MIT.
- Fall '04