M. Prester, DYNAMICAL EXPONENTS FOR THE CURRENT-INDUCED PERCOLATION TRANSITION INHIGH-T-C SUPERCONDUCTORS, Physical review. B, Condensed matter, 54(1), 1996, pp. 606-618
A detailed study of dissipation in weak link networks of high-T-c supe
rconductors has been performed. The model for dissipation has been ela
borated assuming a general correspondence with the problems of inhomog
enous charge transport. The model treats the basic experimental ingred
ients, current-voltage (I-V) and current-differential resistance (I-dV
/dI) characteristics, as a current-induced critical phenomenon. The va
lidity of a simple relationship between non-Ohmic weak link network an
d Ohmic classical percolation networks has been proved; allowing a qua
ntitative interpretation of I-V characteristics. These characteristics
are primary determined by dynamical features of transport on percolat
ion networks. The model focuses on both aspects of of the scaling-rela
ted power law, its dynamical exponent and its prefactor, and gives spe
cific predictions for magnetic field and temperature dependencies, The
experimental results are in full agreement with both predictions. In
particular, the experimental values of dynamical scaling exponents (t
= 2, s = 0.7) coincide with generally accepted literature values for t
hree-dimensional systems.