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膨胀气球的分叉与相互作用的磁滞现象。

Bifurcations of inflating balloons and interacting hysterons.

作者信息

Muhaxheri Gentian, Santangelo Christian D

机构信息

Department of Physics, <a href="https://ror.org/025r5qe02">Syracuse University</a>, Syracuse, New York 13244, USA.

出版信息

Phys Rev E. 2024 Aug;110(2-1):024209. doi: 10.1103/PhysRevE.110.024209.

DOI:10.1103/PhysRevE.110.024209
PMID:39295065
Abstract

While many materials exhibit a complex, hysteretic response to external driving, there has been a surge of interest in how the complex dynamics of internal materials states can be understood and designed to process and store information. We consider a system of connected rubber balloons that can be described by a Preisach model of noninteracting hysterons under pressure control but for which the hysterons become coupled under volume control. We study this system by exploring the possible transition graphs, as well as by introducing a configuration space approach which tracks the volumes of each balloon. Changes in the transition graphs turn out to be related to changes in the topology of the configuration space of the balloons, providing a particularly geometric view of how transition graphs can be designed, as well as additional information on the existence of hidden metastable states. This class of systems is more general than just balloons.

摘要

虽然许多材料对外部驱动表现出复杂的滞后响应,但人们对如何理解和设计内部材料状态的复杂动力学以处理和存储信息的兴趣激增。我们考虑一个由相连的橡胶气球组成的系统,该系统在压力控制下可以用非相互作用磁滞元的Preisach模型来描述,但在体积控制下磁滞元会相互耦合。我们通过探索可能的转移图以及引入一种跟踪每个气球体积的构型空间方法来研究这个系统。结果表明,转移图的变化与气球构型空间拓扑结构的变化有关,这为如何设计转移图提供了一个特别的几何视角,同时也提供了关于隐藏亚稳态存在的额外信息。这类系统比仅仅是气球更具普遍性。

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