...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>American journal of physics >LIFE AND DEATH IN AN EXPANDING CAGE AND AT THE EDGE OF A RECEDING CLIFF
【24h】

LIFE AND DEATH IN AN EXPANDING CAGE AND AT THE EDGE OF A RECEDING CLIFF

机译：扩展笼子中和接生爬升边缘的生命和死亡

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The survival probabilities of a particle diffusing within an expanding ''cage'' and near the edge of a receding ''cliff,'' with death occurring when the diffuser reaches a boundary of the system, are investigated. Especially interesting behavior arises when the position of the boundary recedes from the diffuser as root At. In this case, the recession matches the rms displacement root Dt with which diffusion tends to bring the diffuser to its demise. For both the cage and cliff problems, the survival probability S(t) exhibits a nonuniversal power-law decay in time, S(t) similar to t(-beta), in which the value of beta is dependent on the detailed properties of the boundary motion. Heuristic approaches are applied for the cases of ''slow'' (A/D much less than 1) and ''fast'' (A/D much greater than 1) boundary motion which yield approximate expressions for beta. An asymptotic analysis of the survival probability for the cage and cliff problems is also performed. The approximate expressions for beta are in good agreement with the exact results for nearly the entire range of possible boundary motions. (C) 1996 American Association of Physics Teachers. [References: 22]
机译：研究了在扩散的“笼”内和后退的“悬崖”边缘附近扩散的粒子的生存概率，当扩散器到达系统边界时会发生死亡。当边界的位置作为根点At从扩散器后退时，会出现特别有趣的行为。在这种情况下，衰退与均方根位移根Dt相匹配，扩散趋向于使扩散器消失。对于笼和悬崖问题，生存概率S（t）随时间都呈现出非普遍的幂律衰减，S（t）与t（-beta）相似，其中beta的值取决于边界运动。启发式方法适用于“慢速”（A / D远小于1）和“快速”（A / D远大于1）边界运动的情况，它们产生了近似的beta表达式。还进行了笼子和悬崖问题的生存概率的渐近分析。 β的近似表达式与几乎所有可能的边界运动范围的精确结果都非常吻合。 （C）1996年美国物理教师协会。 [参考：22]

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号