中性粒子在双曲区的吸附-脱附现象和扩散
Adsorption-desorption phenomena and diffusion of neutral particles in the hyperbolic regime
摘要：
在朗缪尔近似下研究了中性粒子从样品极限面的吸附现象。为了考虑密度变化的有限传播速度，假定调节块体中颗粒再分布的扩散方程是双曲线型的。我们表明，在这个框架中的粒子数守恒的条件引起的非局部边界条件。我们解决了偏微分方程的粒子扩散的分离变量的装置，并提出它是如何可能获得近似的本征值有助于解决方案。同样的问题是面临的数值有限差分算法。利用界面处的动力学方程推导出吸附颗粒表面密度随时间的变化关系。预测的非单调行为的表面密度随时间的变化与文献中报道的实验观察结果是一致的，并且与密度变化的传播的有限速度有关。
英文摘要：
The adsorption phenomenon of neutral particles from the limiting surfaces of the sample in the Langmuir approximation is investigated. The diffusion equation regulating the redistribution of particles in the bulk is assumed to be of hyperbolic type, in order to take into account the finite velocity of propagation of the density variations. We show that in this framework the condition on the conservation of the number of particles gives rise to a nonlocal boundary condition. We solve the partial differential equation relevant to the diffusion of particles by means of the separation of variables, and present how it is possible to obtain approximated eigenvalues contributing to the solution. The same problem is faced numerically by a finite difference algorithm. The time dependence of the surface density of adsorbed particles is deduced by means of the kinetic equation at the interface. The predicted non-monotonic behavior of the surface density versus the time is in agreement with experimental observations reported in the literature, and is related to the finite velocity of propagation of the density variations.
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