TY - JOUR
T1 - Statistics of static avalanches in a random pinning landscape
AU - Le Doussal, Pierre
AU - Middleton, A. Alan
AU - Wiese, Kay Jörg
PY - 2009/5/7
Y1 - 2009/5/7
N2 - We study the minimum-energy configuration of a d -dimensional elastic interface in a random potential tied to a harmonic spring. As a function of the spring position, the center of mass of the interface changes in discrete jumps, also called shocks or "static avalanches." We obtain analytically the distribution of avalanche sizes and its cumulants within an Iμ=4-d expansion from a tree and one-loop resummation using functional renormalization. This is compared with exact numerical minimizations of interface energies for random-field disorder in d=2,3. Connections to dynamic avalanches are mentioned.
AB - We study the minimum-energy configuration of a d -dimensional elastic interface in a random potential tied to a harmonic spring. As a function of the spring position, the center of mass of the interface changes in discrete jumps, also called shocks or "static avalanches." We obtain analytically the distribution of avalanche sizes and its cumulants within an Iμ=4-d expansion from a tree and one-loop resummation using functional renormalization. This is compared with exact numerical minimizations of interface energies for random-field disorder in d=2,3. Connections to dynamic avalanches are mentioned.
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U2 - 10.1103/PhysRevE.79.050101
DO - 10.1103/PhysRevE.79.050101
M3 - Article
AN - SCOPUS:67650127515
SN - 1063-651X
VL - 79
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 5
M1 - 050101
ER -