RELAXATION IN FILLED POLYMERS - A FRACTIONAL CALCULUS APPROACH

RELAXATION IN FILLED POLYMERS - A FRACTIONAL CALCULUS APPROACH
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DOI:
10.1063/1.470346
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发表时间:
1995-10-22
影响因子:
4.4
通讯作者:
NONNENMACHER, TF
NONNENMACHER, TF
中科院分区:
化学2区
文献类型:
--
作者:
METZLER, R;SCHICK, W;NONNENMACHER, TF

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近年来,分数阶微积分方法被证明是一种非常成功的工具,用于描述无序或复杂系统中的动态过程,例如聚合物中的弛豫或介电行为或生物膜中的光漂白恢复。在本文中,我们将分数松弛应用于填充聚合物网络,并研究决定性参数对填料含量的依赖性。因此,这种复杂系统的动力学可以通过我们的分数模型来很好地描述,其中参数与已知的现象学模型一致。 (C) 1995 年美国物理研究所。
In recent years the fractional calculus approach to describing dynamic processes in disordered or complex systems such as relaxation or dielectric behavior in polymers or photo bleaching recovery in biologic membranes has proved to be an extraordinarily successful tool. In this paper we apply fractional relaxation to filled polymer networks and investigate the dependence of the decisive occurring parameters on the filler content. As a result, the dynamics of such complex systems may be well-described by our fractional model whereby the parameters agree with known phenomenological models. (C) 1995 American Institute of Physics.