Функція розподілу траєкторії частинки, яка здійснює випадкові блукання в невпорядкованому середовищі
The problem of finding the distribution of functional of a trajectory of a particle executing a random walk in a disordered medium containing both traps and obstacles is considered. As a model of a disordered medium, the Schirmacher model, which is the combination of the random barriers model and th...
Збережено в:
| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Chuiko Institute of Surface Chemistry National Academy of Sciences of Ukraine
2016
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| Онлайн доступ: | https://surfacezbir.com.ua/index.php/surface/article/view/605 |
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| Назва журналу: | Surface |
| Завантажити файл: |  |
Репозитарії
Surface| Резюме: | The problem of finding the distribution of functional of a trajectory of a particle executing a random walk in a disordered medium containing both traps and obstacles is considered. As a model of a disordered medium, the Schirmacher model, which is the combination of the random barriers model and the multiple-trapping model, is used. Forward and backward Feynman-Kac equations with the boundary conditions at discontinuity points are formulated. As an example, the distribution of the residence time in a half-space is obtained. It is shown that the anomalous subdiffusion due to traps and that due to obstacles give very different distributions. |
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| DOI: | 10.15407/Surface.2016.08.058 |