Nonlinear susceptibility in glassy systems: A probe for cooperative dynamical length scales Export

@article{citeulike:5029983, abstract = {We argue that for generic systems close to a critical point; an extended fluctuation-dissipation relation connects the low frequency nonlinear (cubic) susceptibility to the four-point correlation function. In glassy systems; the latter contains interesting information on the heterogeneity and cooperativity of the dynamics. Our result suggests that if the abrupt slowing down of glassy materials is indeed accompanied by the growth of a cooperative length ℓ ; then the nonlinear; 3ω response to an oscillating field (at frequency ω ) should substantially increase and give direct information on the temperature (or density) dependence of ℓ . The analysis of the nonlinear compressibility or the dielectric susceptibility in supercooled liquids; or the nonlinear magnetic susceptibility in spin-glasses; should give access to a cooperative length scale; that grows as the temperature is decreased or as the age of the system increases. Our theoretical analysis holds exactly within the mode-coupling theory of glasses.}, author = {Bouchaud, Jean P. and Biroli, Giulio}, citeulike-article-id = {5029983}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevB.72.064204}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRB/v72/i6/e064204}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRB/v72/i6/e064204}, doi = {10.1103/PhysRevB.72.064204}, journal = {Physical Review B}, keywords = {chi4, glass, mct, spin}, month = {Aug}, number = {6}, pages = {064204+}, posted-at = {2009-07-01 06:27:18}, priority = {2}, publisher = {American Physical Society}, title = {Nonlinear susceptibility in glassy systems: A probe for cooperative dynamical length scales}, url = {http://dx.doi.org/10.1103/PhysRevB.72.064204}, volume = {72}, year = {2005} }

TY - JOUR ID - citeulike:5029983 L3 - citeulike-article-id:5029983 N2 - We argue that for generic systems close to a critical point; an extended fluctuation-dissipation relation connects the low frequency nonlinear (cubic) susceptibility to the four-point correlation function. In glassy systems; the latter contains interesting information on the heterogeneity and cooperativity of the dynamics. Our result suggests that if the abrupt slowing down of glassy materials is indeed accompanied by the growth of a cooperative length ℓ ; then the nonlinear; 3ω response to an oscillating field (at frequency ω ) should substantially increase and give direct information on the temperature (or density) dependence of ℓ . The analysis of the nonlinear compressibility or the dielectric susceptibility in supercooled liquids; or the nonlinear magnetic susceptibility in spin-glasses; should give access to a cooperative length scale; that grows as the temperature is decreased or as the age of the system increases. Our theoretical analysis holds exactly within the mode-coupling theory of glasses. IS - 6 JF - Physical Review B TI - Nonlinear susceptibility in glassy systems: A probe for cooperative dynamical length scales PB - American Physical Society VL - 72 SP - 064204 KW - chi4 KW - glass KW - mct KW - spin AU - Bouchaud, Jean AU - Biroli, Giulio PY - 2005/Aug// UR - http://dx.doi.org/10.1103/PhysRevB.72.064204 ER -