Vibration driven random walk in a Chladni experiment

被引:14
|
作者
Grabec, Igor [1 ]
机构
[1] Amanova Ltd, Kantetova Ul 75, SI-1000 Ljubljana, Slovenia
关键词
Chladni figure; Random walk; Stochastic processes;
D O I
10.1016/j.physleta.2016.10.059
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Drifting of sand particles bouncing on a vibrating membrane of a Chladni experiment is characterized statistically. Records of trajectories reveal that bounces are circularly distributed and random. The mean length of their horizontal displacement is approximately proportional to the vibration amplitude above the critical level and amounts about one fourth of the corresponding bounce height. For the description of horizontal drifting of particles a model of vibration driven random walk is proposed that yields a good agreement between experimental and numerically simulated data. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:59 / 64
页数:6
相关论文
共 50 条
  • [11] The visits to zero of a random walk driven by an irrational rotation
    Avila, A.
    Dolgopyat, D.
    Duryev, E.
    Sarig, O.
    ISRAEL JOURNAL OF MATHEMATICS, 2015, 207 (02) : 653 - 717
  • [12] Quantum random walk of the field in an externally driven cavity
    Agarwal, GS
    Pathak, PK
    PHYSICAL REVIEW A, 2005, 72 (03):
  • [13] The visits to zero of a random walk driven by an irrational rotation
    A. Avila
    D. Dolgopyat
    E. Duryev
    O. Sarig
    Israel Journal of Mathematics, 2015, 207 : 653 - 717
  • [14] Human induced vibration comfort based on random walk model
    Wu, Gangjie
    Chen, Deyi
    Huang, Shiping
    Li, Zhihai
    Zhendong yu Chongji/Journal of Vibration and Shock, 2024, 43 (09): : 226 - 233
  • [15] Random Walk on the Range of Random Walk
    David A. Croydon
    Journal of Statistical Physics, 2009, 136 : 349 - 372
  • [16] A random walk on a random walk path
    Grill, K
    ASYMPTOTIC METHODS IN PROBABILITY AND STATISTICS: A VOLUME IN HONOUR OF MIKLOS CSORGO, 1998, : 235 - 242
  • [17] Social Aggregation in Pea Aphids: Experiment and Random Walk Modeling
    Nilsen, Christa
    Paige, John
    Warner, Olivia
    Mayhew, Benjamin
    Sutley, Ryan
    Lam, Matthew
    Bernoff, Andrew J.
    Topaz, Chad M.
    PLOS ONE, 2013, 8 (12):
  • [18] Random Walk on the Range of Random Walk
    Croydon, David A.
    JOURNAL OF STATISTICAL PHYSICS, 2009, 136 (02) : 349 - 372
  • [19] RANDOM VIBRATION OF POINT-DRIVEN BEAMS
    NAGEM, R
    JOURNAL OF SOUND AND VIBRATION, 1991, 151 (01) : 168 - 174
  • [20] Random walk on the activity-driven model with mutual selection
    Yang, M.
    Wang, B.
    Han, Y. -X.
    EPL, 2018, 124 (04)