Journal ArticleDOI
Projection operator formulation for second order response
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In this article, a matrix resolvent operator in Liouville space is used to combine first and second order dynamic susceptibilities for a set of observables, and a well-defined triangular projector is introduced to rewrite second order susceptibilities in terms of frequencies and memory functions.Abstract:
Combined first and second order dynamic susceptibilities for a set of observables are expressed by a matrix resolvent operator in Liouville-space. A well-defined triangular projector is introduced to rewrite second order susceptibilities in terms of frequencies and memory functions. For these a Markovian type of approximation is established and connected with quantities of first order response.read more
Citations
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Journal ArticleDOI
Dense inhomogeneous fluids: Functional perturbation theory, the generalized Langevin equation, and kinetic theory
TL;DR: In this paper, a functional perturbation theory (FPT) is proposed to describe the dynamical behavior of dense, inhomogeneous fluid mixtures, and from this show rigorously that the generalized Langevin equations are a first order form of this FPT.
Journal ArticleDOI
Description of the non-linear dynamic piezoelectricity of poly (vinylidene fluoride) by second order response theory
TL;DR: The second order static piezoelectric constant of polyvinylidene fluoride (PVDF) is -7.7 × 10-20Cm2/N2 as mentioned in this paper.
Proceedings ArticleDOI
Application of a second order response theory to the nonlinear piezoelectricity of PVDF
TL;DR: In this article, a second-order response theory is applied to the piezoelectric response of poly(vinylidene fluoride) and the derived equations allow the determination of nonlinear coefficients from the linear part of the response after a static stress is applied.
References
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Journal ArticleDOI
The fluctuation-dissipation theorem
TL;DR: In this article, the linear response of a given system to an external perturbation is expressed in terms of fluctuation properties of the system in thermal equilibrium, which may be represented by a stochastic equation describing the fluctuation, which is a generalization of the familiar Langevin equation in the classical theory of Brownian motion.
Journal ArticleDOI
Approach to projection operator formalism for second-order response
G. Sauermann,K.-P. Karmann +1 more
TL;DR: In this paper, it was shown that first and second-order dynamic susceptibilities for one observable can be expressed by a matrix resolvent in Liouville space, and the simplest choice of a projector is discussed, leading to generalized memory functions for the secondorder susceptibility.
Journal ArticleDOI
Influence of energy absorption on second-order dynamic susceptibilities
E. Fick,G. Sauermann +1 more
TL;DR: In this paper, it was shown that second-order dynamic susceptibilities χ(ω1, ω2) for observables F may have a pole at ω 2 = 0 which is due to energy absorption.
Journal ArticleDOI
Markovian-type approximation for second-order response☆
TL;DR: A Markovian approximation for second-order response, based on a projector formalism, is proposed in this article, where the two-time memory functions are investigated for a model system.
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