可解振子玻璃模型中的火山相变
Volcano transition in a solvable model of oscillator glass
摘要:
1992年,在随机耦合极限环振荡器的模拟中发现了一个令人困惑的跃迁。从那以后,这种所谓的火山转变一直拒绝分析。它最初是为了纪念振荡器玻璃的出现而制作的,但在这里我们展示了它不需要。我们引入并解决了一个更简单的模型与定性相同的火山过渡,并发现,出乎意料的是,它的超临界状态不是玻璃态。我们讨论了原始模型的影响,并建议实验系统中,火山过渡和振荡器玻璃可能会出现。
英文摘要:
In 1992 a puzzling transition was discovered in simulations of randomly coupled limit-cycle oscillators. This so-called volcano transition has resisted analysis ever since. It was originally conjectured to mark the emergence of an oscillator glass, but here we show it need not. We introduce and solve a simpler model with a qualitatively identical volcano transition and find, unexpectedly, that its supercritical state is not glassy. We discuss the implications for the original model and suggest experimental systems in which a volcano transition and oscillator glass may appear.
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