Nonuniversal self-similarity in a coagulation–annihilation model with constant kernels

Nonuniversal self-similarity in a coagulation–annihilation model with constant kernels
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具有恒定核的凝固-湮灭模型中的非普遍自相似性

DOI:
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发表时间:
2010
期刊:
影响因子:
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通讯作者:
H. V. Van Roessel
H. V. Van Roessel
中科院分区:
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文献类型:
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作者:
P. Laurençot;H. V. Van Roessel

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本文分析研究了具有恒定混凝和湮灭速率的两种混凝-湮灭系统在湮灭完成时的大时间动力学。我们观察到一种标度行为,它随参数耦合而变化,两种物质的湮灭,在某种意义上它是不普遍的,在某些情况下,它也随初始条件而变化。当耦合参数等于1时,或者两种粒子的初始粒子数相同时,实际上会发生后者。
The large time dynamics of a two-species coagulation–annihilation system with constant coagulation and annihilation rates is studied analytically when annihilation is complete. A scaling behaviour is observed which varies with the parameter coupling, the annihilation of the two species and which is nonuniversal in the sense that it varies, in some cases, with the initial conditions as well. The latter actually occurs when either the coupling parameter is equal to one, or the initial number of particles is the same for the two species.