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自催化三分子模型内噪声随机共振
龚玉兵,侯中怀,辛厚文*
作者单位E-mail
龚玉兵 中国科学技术大学化学物理系,合肥,230026;烟台师范学院物理系,烟台,264025  
侯中怀 中国科学技术大学化学物理系,合肥,230026  
辛厚文* 中国科学技术大学化学物理系,合肥,230026 nclxin@mail.ustc.edu.cn 
摘要:
运用化学Langevin方程,数值研究了内噪声对单个和单向耦合自催化三分子模型动力学行为的影响.研究发现,对于单个振子体系,内噪声可以诱导持续振荡,而且随着系统尺度的增大,信噪比经过一个极大值,从而证明了内噪声随机共振和最佳尺度效应的存在;对于单向耦合系统,信噪比还随耦合强度的变化而经过极大值.此外,边界条件对耦合体系的内噪声随机共振行为有很大影响,非零流条件下,耦合可以增强内噪声随机共振,而零流条件下,耦合会抑制随机共振;当耦合强度适宜时,每个振子发生随机共振时的尺度几乎相同,表明最佳体系尺度和耦合强度有助于体系达到最佳的化学反应状态.
关键词:  自催化三分子模型  内噪声  化学Langevin方程  随机共振
DOI:10.1088/1674-0068/17/6/665-669
分类号:
基金项目:
Internal Noise Stochastic Resonance in a Cubic Autocatalator
Gong Yubing, Hou Zhonghuai,Xin Houwen*
Abstract:
The stochastic resonance in chemical reaction systems has recently attracted growing attentions. Using chemical Langevin equation,the effect of internal noise has been studied on the dynamical behavior of a single and a one-way coupled cubic autocatalator. For the single system,it is found that the internal noise can induce sustained oscillations,and the signal-to-noise ratio(SNR)undergoes a maximum with the variation of the system size. For the coupled system,the SNR passes through a maximum with changing coupling strengths as well as with changing system sizes,which demonstrates the occurrence of the internal noise stochastic resonance(INSR)and optimal size effect. In the presence or absence of influx into the system,the coupling enhanced or suppressed INSR is found in the coupled system. All cells of the coupled system appear to exhibit INSR at an approximately equal size at a suitable coupling strength,implying that the optimal system size and coupling strength can make the system reach an optimal chemical reaction state.
Key words:  Cubic autocatalator,Internal noise,Chemical Langevin equation,Stochastic resonance