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摘要翻译：
我们考虑扩散常数为D的布朗粒子在膨胀的D维球体内运动，球体的表面是粒子的吸收边界。球体的初始半径为L_0，并以恒定速率c膨胀。我们计算了粒子生存到时间t并且在离球心距离r处的联合概率密度p(r，tr_0)，假定它是从球心距离r_0开始的。
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英文标题：
《Survival of a diffusing particle in an expanding cage》
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作者：
Alan J Bray, Richard Smith
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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：Mathematics 数学
二级分类：Probability 概率
分类描述：Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory
概率论与随机过程的理论与应用：例如中心极限定理，大偏差，随机微分方程，统计力学模型，排队论
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英文摘要：
We consider a Brownian particle, with diffusion constant D, moving inside an expanding d-dimensional sphere whose surface is an absorbing boundary for the particle. The sphere has initial radius L_0 and expands at a constant rate c. We calculate the joint probability density, p(r,t|r_0), that the particle survives until time t, and is at a distance r from the centre of the sphere, given that it started at a distance r_0 from the centre.
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PDF链接：
https://arxiv.org/pdf/705.0501
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