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具有相互作用吸附质的过阻尼随机反应扩散系统中的纳米尺度图案形成

Nanosize pattern formation in overdamped stochastic reaction-diffusion systems with interacting adsorbate.

作者信息

Kharchenko Vasyl O, Kharchenko Dmitrii O

机构信息

Institute of Applied Physics, National Academy of Sciences of Ukraine, 58 Petropavlivska St., 40000 Sumy, Ukraine.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Oct;86(4 Pt 1):041143. doi: 10.1103/PhysRevE.86.041143. Epub 2012 Oct 24.

DOI:10.1103/PhysRevE.86.041143
PMID:23214565
Abstract

We study overdamped stochastic model describing adsorption or desorption processes with nonequilibrium chemical reactions on the surface. It is shown that internal noise satisfying the fluctuation-dissipation relation at small intensities governs transitions between ordered thermodynamical dense and diluted phases. These phase transitions are characterized by an increase of fluctuations of the coverage filed and correlation radius of spatial modulation. At large noise intensity a transition towards disordered phase with chaotic spatial configuration is realized. We have shown that organized stationary patterns are of nanometer range. We define that both period of stationary structures and corresponding correlation radius depend on the noise intensity.

摘要

我们研究了描述表面非平衡化学反应吸附或解吸过程的过阻尼随机模型。结果表明,在小强度下满足涨落耗散关系的内部噪声控制着有序热力学致密相和稀释相之间的转变。这些相变的特征是覆盖场涨落和空间调制相关半径的增加。在大噪声强度下,实现了向具有混沌空间构型的无序相的转变。我们已经表明,有组织的静止模式在纳米范围内。我们定义静止结构的周期和相应的相关半径都取决于噪声强度。

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