Optimal and efficient generation of sine-Gordon breathers,Physical Review E

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Optimal and efficient generation of sine-Gordon breathers
Physical Review E ( IF 2.2 ) Pub Date : 2021-07-14 , DOI: 10.1103/physreve.104.014209
Xinyun Liu ₁ , Mei Wen ₁ , Xiezhi Mao ₁ , Xinlong Wang ₁

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We investigate analytically and numerically whether an optimally designed defect structure can significantly reduce the threshold for breather train generation by almost two orders of magnitude in a sine-Gordon chain. By optimizing the parameters of defects based on a variational approach, we show that the decoupling of in-phase and antiphase branches allows us to independently minimize the driving threshold and reach the goal of emission of high-amplitude and well-formed breathers by an ultraweak driving. These results not only provide an optimal way for highly controllable and efficient emission of breathers, but also provide some insights into the mechanism of breather excitations in such processes as the DNA-protein interaction during transcription.

中文翻译：

正弦戈登呼吸器的最佳和高效生成

我们通过分析和数值研究了优化设计的缺陷结构是否可以将正弦-戈登链中呼吸列车生成的阈值显着降低近两个数量级。通过基于变分方法优化缺陷参数，我们表明同相和反相分支的解耦使我们能够独立地最小化驱动阈值，并通过超弱实现高振幅和结构良好的呼吸器发射的目标。驾驶。这些结果不仅为呼吸器的高度可控和高效发射提供了一种最佳方式，而且还为在转录过程中的 DNA-蛋白质相互作用等过程中对呼吸器激发的机制提供了一些见解。

更新日期：2021-07-14

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