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- W2069877599 abstract "We study the field theories for pinned elastic systems at equilibrium and at depinning. Their $ensuremath{beta}$ functions differ to two loops by novel ``anomalous'' terms. At equilibrium we find a roughness $ensuremath{zeta}phantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}0.20829804ensuremath{epsilon}+0.006858{ensuremath{epsilon}}^{2}$ (random bond), $ensuremath{zeta}phantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}ensuremath{epsilon}/3$ (random field). At depinning we prove two-loop renormalizability and that random field attracts shorter range disorder. We find $ensuremath{zeta}phantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}frac{ensuremath{epsilon}}{3}(1+0.14331ensuremath{epsilon})$, $ensuremath{epsilon}phantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}4ensuremath{-}d$, in violation of the conjecture $ensuremath{zeta}phantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}ensuremath{epsilon}/3$, solving the discrepancy with simulations. For long range elasticity $ensuremath{zeta}phantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}frac{ensuremath{epsilon}}{3}(1+0.39735ensuremath{epsilon})$, $ensuremath{epsilon}phantom{rule{0ex}{0ex}}=phantom{rule{0ex}{0ex}}2ensuremath{-}d$, much closer to the experimental value ( $ensuremath{approx}0.5$ both for liquid helium contact line depinning and slow crack fronts) than the standard prediction $1/3$." @default.
- W2069877599 created "2016-06-24" @default.
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- W2069877599 date "2001-02-26" @default.
- W2069877599 modified "2023-10-02" @default.
- W2069877599 title "Renormalization of Pinned Elastic Systems: How Does It Work Beyond One Loop?" @default.
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- W2069877599 doi "https://doi.org/10.1103/physrevlett.86.1785" @default.
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