摘要翻译:
我们考虑了一个简单的线性可逆异构化反应a<-->B,在用连续时间随机游动(CTRW)描述的子扩散下。反应物的转变在运动过程中独立发生,并用恒定速率来描述。我们表明,随后的介观反应-亚扩散系统的形式有些不寻常:给出一个反应物浓度的时间导数的方程,例如A(x,t),包含不仅依赖于拉普拉斯A而且依赖于拉普拉斯B的项,即还依赖于另一个反应物的输运算符。从物理上来说,这是由于在粒子跳跃之前,在一个位置上可能会发生几次从A到B和返回的跃迁。
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英文标题:
《Reaction-Subdiffusion Equations for the A <--> B Reaction》
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作者:
F. Sagues, V.P. Shkilev and I.M. Sokolov
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:Disordered Systems and Neural Networks 无序系统与神经网络
分类描述:Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜;随机、非周期和准周期系统的性质;无序介质中的传输;本地化;由缺陷和无序介导的现象;神经网络
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英文摘要:
We consider a simple linear reversible isomerization reaction A <--> B under subdiffusion described by continuous time random walks (CTRW). The reactants' transformations take place independently on the motion and are described by constant rates. We show that the form of the ensuing system of mesoscopic reaction-subdiffusion is somewhat unusual: the equation giving the time derivative of one reactant concentration, say A(x,t), contains the terms depending not only on Laplacian A, but also on Laplacian B, i.e. depends also on the transport operator of another reactant. Physically this is due to the fact that several transitions from A to B and back may take place at one site before the particle jumps.
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PDF链接:
https://arxiv.org/pdf/712.1436