排斥体积相互作用下扩散介导的双生反应
Diffusion-mediated geminate reactions under excluded volume interactions
摘要：
本文从理论上研究了惰性粒子拥挤对双生反应动力学的影响。考虑到所有扩散粒子之间的相关性，从主方程导出了孪生粒子对的生存概率的时间演化方程。结果插入低和高浓度的惰性颗粒之间。惰性粒子的排斥体积相互作用阻碍了反应物的扩散运动。当惰性粒子的初始分布是均匀的，排除体积的相互作用减慢的成对的生存概率的衰减，相反，在反应物之间的排除体积的相互作用的存在下，发现的目标问题的衰变的加速。我们还获得了逃逸概率为一个不均匀的初始分布的惰性粒子，并表明，反应产率增加时，反应进行中存在的惰性粒子的正密度梯度，抑制逃逸的反应物。这种效应可以解释为笼子效应。
英文摘要：
In this paper, influence of crowding by inert particles on the geminate reaction kinetics is theoretically investigated. Time evolution equations for the survival probability of a geminate pair are derived from the master equation taking into account the correlation among all diffusing particles. The results interpolate between low and high concentrations of the inert particles. Excluded volume interactions by the inert particles hinder the diffusive motion of reactants. When the initial distribution of the inert particles is uniform, the excluded volume interactions slow the decay of the survival probability of a geminate pair in contrast to the acceleration of the decay found for the target problem under the presence of the excluded volume interactions among reactants. We also obtain the escape probability for a non-uniform initial distribution of the inert particles and show that reaction yield is increased when the reaction proceeds in the presence of a positive density gradient of the inert particles which inhibits the escape of reactants. The effect can be interpreted as a cage effect.
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