论文标题
非线性扩散方程的高热超排水和爆炸性解决方案
Hyperballistic superdiffusion and explosive solutions to the non-linear diffusion equation
论文作者
论文摘要
通过仅通过局部粒子浓度包含相互作用的粒子模型，我们表明可能会导致肥沃的扩散。这是通过找到相应非线性扩散方程以及粒子模拟的精确解。这些描述级别之间的连接由描述粒子动力学的Fokker-Planck方程提供。
By means of a particle model that includes interactions only via the local particle concentration, we show that hyperballistic diffusion may result. This is done by findng the exact solution of the corresponding non-linear diffusion equation, as well as by particle simulations. The connection between these levels of description is provided by the Fokker-Planck equation describing the particle dynamics.
