| Mass distribution in n—polymer stochastic aggregation and large—mass behaviour |
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| 引用本文： | 薛郁,陈光旨. Mass distribution in n—polymer stochastic aggregation and large—mass behaviour[J]. 中国物理, 2002, 11(7): 684-689. DOI: 10.1088/1009-1963/11/7/307 |
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| 作者姓名： | 薛郁 陈光旨 |
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| 作者单位： | Department of Physics, Guangxi University, Nanning 530004, China |
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| 基金项目： | Project supported by the Special Fund for Theoretic Physics of the National Natural Science Foundation of China (Grant No 10147201) (Cooperation Project of East and West). |
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| 摘 要： | The exact solutions of the rate equations of the n-polymer stochastic aggregation involving two types of clusters, active and passive for the kernel dprnk=1s(ik)(s(ik)=ik) and dsumnk=1s(ik)(s(ik)=ik), are obtained. The large-mass behaviours of the final mass distribution of the active and passive clusters have scaling-like forms, although the models exhibit different properties. Respectively, they have different decay exponents γ=dfrac{2n+1}{2(n-1)} and γ=q+dfrac{2n+1}{2(n-1)} for dprnk=1}s(ik)(s(ik)=ik) and γ=dfrac 3{2(n-1)} and γ=q+dfrac 3{2(n-1)} for dsumnk=1}s(ik)(s(ik)=ik), which include exponents of two-polymer stochastic aggregation. We also find that gelation is suppressed for kernel dprnk=1s(ik)(s(ik)=ik) which is different from the deterministic aggregation.
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| 关 键 词： | 聚合物 质量分布 随机聚合 |
| 收稿时间： | 2001-10-28 |
Mass distribution in n-polymer stochastic aggregation and large-mass behaviour |
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| Xue Yu and Chen Guang-Zhi. Mass distribution in n-polymer stochastic aggregation and large-mass behaviour[J]. Chinese Physics, 2002, 11(7): 684-689. DOI: 10.1088/1009-1963/11/7/307 |
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| Authors: | Xue Yu and Chen Guang-Zhi |
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| Affiliation: | Department of Physics, Guangxi University, Nanning 530004, China |
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| Abstract: | The exact solutions of the rate equations of the n-polymer stochastic aggregation involving two types of clusters, active and passive for the kernel dprnk=1s(ik)(s(ik)=ik) and dsumnk=1s(ik)(s(ik)=ik), are obtained. The large-mass behaviours of the final mass distribution of the active and passive clusters have scaling-like forms, although the models exhibit different properties. Respectively, they have different decay exponents γ=dfrac{2n+1}{2(n-1)} and γ=q+dfrac{2n+1}{2(n-1)} for dprnk=1}s(ik)(s(ik)=ik) and γ=dfrac 3{2(n-1)} and γ=q+dfrac 3{2(n-1)} for dsumnk=1}s(ik)(s(ik)=ik), which include exponents of two-polymer stochastic aggregation. We also find that gelation is suppressed for kernel dprnk=1s(ik)(s(ik)=ik) which is different from the deterministic aggregation. |
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| Keywords: | stochastic aggregation rate kernel gelation mass distribution |
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