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- W2023996239 abstract "The effect of random impurities (quenched disorder) on the growth of correlations is studied for model A and model B after a sudden quench to ${mathit{T}}_{mathit{c}}$ from the high-temperature phase (i.e., random initial conditions). Exponents and scaling functions of the nonequilibrium dynamic response function ${mathit{G}}_{mathit{k}}$(t)=[〈ensuremath{partial}${mathrm{ensuremath{varphi}}}_{mathbf{k}}$(t)/ensuremath{partial}${mathrm{ensuremath{varphi}}}_{mathrm{ensuremath{-}}mathbf{k}}$(0)〉] and the structure factor ${mathit{S}}_{mathit{k}}$(t)=[〈${mathrm{ensuremath{varphi}}}_{mathbf{k}}$(t)${mathrm{ensuremath{varphi}}}_{mathrm{ensuremath{-}}mathbf{k}}$(t)〉] are calculated to first order in ensuremath{epsilon} (ensuremath{epsilon}=4-d) for the O(n) model. For a nonconserved order parameter, the scaling form ${mathit{G}}_{mathit{k}}$(t)=${mathit{t}}^{ensuremath{lambda}/mathit{z}}$f(${mathit{k}}^{mathit{z}}$t) is obtained, with f(0)=const and ensuremath{lambda}=ensuremath{epsilon}/4+O(${mathrm{ensuremath{epsilon}}}^{2}$), for 1n4. For n>4, random impurities are irrelevant, and ensuremath{lambda}=[(n+2)/2(n+8)]ensuremath{epsilon}+O(${mathrm{ensuremath{epsilon}}}^{2}$), in agreement with calculations on the pure system. For a conserved order parameter ensuremath{lambda}=0, but the scaling function f(x) is nontrivial. For both conserved and nonconserved order parameter, disorder gives rise to algebraically decaying scaling functions." @default.
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- W2023996239 date "1992-08-01" @default.
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- W2023996239 title "Nonequilibrium critical relaxation in the presence of random impurities" @default.
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- W2023996239 doi "https://doi.org/10.1103/physrevb.46.2676" @default.
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