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- W1995969249 abstract "The higher-order nonlinear response of random two-phase composites is investigated within the spectral representation theory. Both components are assumed to be weakly nonlinear with a displacement (D)—electric field (E) relation of the form D=ϵiE+χi|E|2E, where ϵi is the linear dielectric constant and χi is the third-order nonlinear response of the ith component (i=1,2). The effective field-dependent dielectric response of the composites is defined as ϵ̃e=ϵe+χe|E0|2+ηe|E0|4, where ϵe, χe and ηe are the effective linear dielectric constant, the effective third-order and fifth-order nonlinear susceptibilities, respectively. By taking into account the correction to the nonlinear local fields, general expressions are derived for χe and ηe to the second order of χi. We perform numerical calculations on Au/SiO2 composites with three typical microstructures, described by the Maxwell–Garnett approximation, Bruggeman effective medium approximation and differential effective medium one. Our formulae are then generalized to systems of arbitrary nonlinearity. In the dilute limit, the formulae reduce to those in previous works, as expected. For large volume fractions, our theoretical results are in good agreement with simulation data in nonlinear random resistor networks." @default.
- W1995969249 created "2016-06-24" @default.
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- W1995969249 date "2004-03-01" @default.
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- W1995969249 title "Spectral representation theory for higher-order nonlinear response in random composites" @default.
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- W1995969249 doi "https://doi.org/10.1016/j.physleta.2004.01.019" @default.
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