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KH2PO4晶体铁电相变附近环面倍周期通向混沌的实验观测

Experimental observation of a torus-doubling transition to chaos near the ferroelectric phase transition of a KH2PO4 crystal.

作者信息

Shin J C

机构信息

Research Institute for Basic Sciences, Seoul National University, Seoul 151-742, Korea.

出版信息

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Nov;60(5 Pt A):5394-401. doi: 10.1103/physreve.60.5394.

DOI:10.1103/physreve.60.5394
PMID:11970409
Abstract

A ferroelectric KH2PO4 crystal is implemented in a simple series connection of an RLC circuit and the transition to chaos near the phase-transition temperature is investigated. The torus-doubling scenario to chaos, the theory of which was expounded by Kaneko for high-dimensional dynamical systems, has been found in the crystal. These experimental results suggest that observation of the nonlinear dynamical behavior in condensed matter can give much information about the correlation between the generation of nonlinearity and the order-parameter dynamics of the crystal near the phase-transition temperature.

摘要

在一个简单的RLC电路串联中实现了铁电KH2PO4晶体,并研究了在相变温度附近向混沌的转变。在该晶体中发现了通往混沌的倍周期环面情景,其理论由金泽针对高维动力系统阐述。这些实验结果表明,观察凝聚态物质中的非线性动力学行为可以提供许多关于相变温度附近晶体非线性产生与序参量动力学之间相关性的信息。

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