Benkhadaj Ziyad, Grebenkov Denis S
ENS Paris-Saclay, 91190 Gif-sur-Yvette, France.
Laboratoire de Physique de la Matière Condensée (UMR 7643), CNRS-Ecole Polytechnique, IP Paris, 91128 Palaiseau, France.
Phys Rev E. 2022 Oct;106(4-1):044121. doi: 10.1103/PhysRevE.106.044121.
An encounter-based approach consists in using the boundary local time as a proxy for the number of encounters between a diffusing particle and a target to implement various surface reaction mechanisms on that target. In this paper, we investigate the effects of stochastic resetting onto diffusion-controlled reactions in bounded confining domains. We first discuss the effect of position resetting onto the propagator and related quantities; in this way, we retrieve a number of earlier results but also provide complementary insights into them. Second, we introduce boundary local time resetting and investigate its impact. Curiously, we find that this type of resetting does not alter the conventional propagator governing the diffusive dynamics in the presence of a partially reactive target with a constant reactivity. In turn, the generalized propagator for other surface reaction mechanisms can be significantly affected. Our general results are illustrated for diffusion on an interval with reactive end points. Further perspectives and some open problems are discussed.
基于相遇的方法包括使用边界局部时间作为扩散粒子与目标之间相遇次数的代理，以在该目标上实现各种表面反应机制。在本文中，我们研究了在有界限制域中随机重置对扩散控制反应的影响。我们首先讨论位置重置对传播子和相关量的影响；通过这种方式，我们检索到了一些早期结果，但也对它们提供了补充见解。其次，我们引入边界局部时间重置并研究其影响。奇怪的是，我们发现这种类型的重置在存在具有恒定反应性的部分反应性目标的情况下不会改变控制扩散动力学的传统传播子。反过来，其他表面反应机制的广义传播子可能会受到显著影响。我们的一般结果通过具有反应性端点的区间上的扩散进行了说明。还讨论了进一步的观点和一些未解决的问题。
