Journal
PHYSICAL REVIEW LETTERS
Volume 86, Issue 9, Pages 1785-1788Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevLett.86.1785
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We study the field theories for pinned elastic systems at equilibrium and at depinning. Their beta functions differ to two loops by novel anomalous'' terms. At equilibrium we find a roughness zeta = 0.208 298 04 epsilon + 0.006 858 epsilon (2) (random bond), zeta = epsilon /3 (random field). At depinning we prove two-loop renomalizability and that random field attracts shorter range disorder. We find zeta = epsilon /3(1 + 0.143 31 epsilon), epsilon = 4 - d, in violation of the conjecture zeta = E/3, solving the discrepancy with simulations. For long range elasticity zeta = epsilon /3(1 + 0.397 35 epsilon), epsilon = 2 - d, much closer to the experimental value (approximate to0.5 both for liquid helium contact line depinning and slow crack fronts) than the standard prediction 1/3.
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