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摘要翻译：
我们考虑了系统A$-粒子岛-B$-粒子岛在锐利湮没前沿A+B\-传播到0$时的扩散控制演化问题。我们证明了这个一般问题，包括海-海和岛-海问题，具有丰富的动力学行为，从其中一个岛屿的自加速坍缩到两个岛屿的同步指数松弛。我们发现了尖锋传播的一个普遍渐近区域，并揭示了它对平均场和涨落锋的适用范围。
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英文标题：
《Diffusion-controlled death of $A$-particle and $B$-particle islands at
propagation of the sharp annihilation front $A + B \to 0$》
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作者：
Boris M. Shipilevsky
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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：Soft Condensed Matter 软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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英文摘要：
We consider the problem of diffusion-controlled evolution of the system $A$-particle island - $B$-particle island at propagation of the sharp annihilation front $A+B\to 0$. We show that this general problem, which includes as particular cases the sea-sea and the island-sea problems, demonstrates rich dynamical behavior from self-accelerating collapse of one of the islands to synchronous exponential relaxation of the both islands. We find a universal asymptotic regime of the sharp front propagation and reveal limits of its applicability for the cases of mean-field and fluctuation fronts.
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PDF链接：
https://arxiv.org/pdf/709.4569
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