随机非均匀介质中能量损失的动力学理论
On Kinetic Theory of Energy Losses in Randomly Heterogeneous Medium
摘要：
导出了描述粒子在具有猝灭和动态非均匀性的分形介质中传播的能量损失分布的方程。我们表明，在分形维数$2<D<3$的介质的情况下，损耗$Δ$的特点是次线性异常依赖$Δ\sim x^α$与幂律依赖于距离$x$从表面和指数$α=D-2$。
英文摘要：
We derive equation describing distribution of energy losses of the particle propagating in fractal medium with quenched and dynamic heterogeneities. We show that in the case of the medium with fractal dimension $2<D<3$ the losses $Δ$ are characterized by the sublinear anomalous dependence $Δ\sim x^α$ with power-law dependence on the distance $x$ from the surface and exponent $α=D-2$.
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