Information Flow in a Kinetic Ising Model Peaks in the Disordered Phase
Information Flow in a Kinetic Ising Model Peaks in the Disordered Phase
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DOI：
10.1103/physrevlett.111.177203
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发表时间：
2013-10-24
影响因子：
8.6
通讯作者：
Bossomaier, Terry
中科院分区：
文献类型：
--
作者：
Barnett, Lionel;Lizier, Joseph T.;Bossomaier, Terry
越来越多的证据表明，对于一系列具有相互作用元素的大集合之间的复杂相互作用的动力学系统，互信息在有序-无序相变时达到峰值。我们推测，相比之下，在这样的系统中的信息流通常会严格的相变的无序一侧的峰值。这一猜想验证了一个铁磁的2D晶格伊辛模型与Glauber动力学和基于转移熵的测量系统范围内的信息流。的猜想的影响被认为是，特别是，对于一个复杂的动力系统的过程中，从无序到有序的动态（一种机制牵连，例如，在金融市场崩溃和发作的某些类型的癫痫发作）;信息动力学可能能够预测即将到来的过渡。
There is growing evidence that for a range of dynamical systems featuring complex interactions between large ensembles of interacting elements, mutual information peaks at order-disorder phase transitions. We conjecture that, by contrast, information flow in such systems will generally peak strictly on the disordered side of a phase transition. This conjecture is verified for a ferromagnetic 2D lattice Ising model with Glauber dynamics and a transfer entropy-based measure of systemwide information flow. Implications of the conjecture are considered, in particular, that for a complex dynamical system in the process of transitioning from disordered to ordered dynamics (a mechanism implicated, for example, in financial market crashes and the onset of some types of epileptic seizures); information dynamics may be able to predict an imminent transition.