论文标题
Langevin的图片在扩展培养基中的异常扩散过程
Langevin picture of anomalous diffusion processes in expanding medium
论文作者
论文摘要
在生物学和宇宙学等许多不同领域，扩展培养基非常普遍。它对粒子的扩散产生了不可忽略的影响，这与外力场的影响完全不同。仅在连续时间随机行走的框架中研究了粒子运动在扩展培养基中的动态机制。为了专注于更多的扩散过程和物理可观察物，我们在扩展培养基中构建了兰格文的异常扩散图片，并在langevin方程的框架中进行了详细的分析。在下属的帮助下，讨论了扩展培养基中的次扩散过程和超扩散过程。我们发现，具有不同速率（指数形式和幂律形式）的扩展培养基会导致相当不同的扩散现象。粒子的内在扩散行为也起着重要作用。我们的详细理论分析和模拟提出了在Langevin方程框架下研究培养基中异常扩散的全景观点。
Expanding medium is very common in many different fields, such as biology and cosmology. It brings a nonnegligible influence on particle's diffusion, which is quite different from the effect of an external force field. The dynamic mechanism of particle's motion in expanding medium has only been investigated in the framework of continuous-time random walk. To focus on more diffusion processes and physical observables, we build the Langevin picture of anomalous diffusion in expanding medium, and conduct detailed analyses in the framework of Langevin equation. With the help of a subordinator, both subdiffusion process and superdiffusion process in expanding medium are discussed. We find that the expanding medium with different changing rate (exponential form and power-law form) leads to quite different diffusion phenomena. The particle's intrinsic diffusion behavior also plays an important role. Our detailed theoretical analyses and simulations present a panoramic view of investigating anomalous diffusion in expanding medium under the framework of Langevin equation.
