1/F NOISE FROM THE LINEAR DIFFUSION EQUATION

被引:18
|
作者
JENSEN, HJ
机构
[1] NORDITA, Copenhagen, DK-2100
来源
PHYSICA SCRIPTA | 1991年 / 43卷 / 06期
关键词
D O I
10.1088/0031-8949/43/6/009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is pointed out that the ordinary linear diffusion equation partial-P(r, t)/partial-t = gamma-NABLA-2P(r, t), without any source term, leads to a 1/f power spectrum in any spatial dimension if the system is driven by a white noise boundary condition.
引用
收藏
页码:593 / 595
页数:3
相关论文
共 50 条
  • [21] Attractors for the stochastic reaction-diffusion equation driven by linear multiplicative noise with a variable coefficient
    Fan, Xiaoming
    Chen, Huatao
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 398 (02) : 715 - 728
  • [22] Non-linear fourth-order telegraph-diffusion equation for noise removal
    Zeng, Weili
    Lu, Xiaobo
    Tan, Xianghua
    IET IMAGE PROCESSING, 2013, 7 (04) : 335 - 342
  • [23] A Non-linear Diffusion Based Partial Differential Equation Model for Noise Reduction in Images
    Jain, Subit K.
    Ray, Rajendra K.
    INFORMATION SYSTEMS DESIGN AND INTELLIGENT APPLICATIONS, VOL 2, 2015, 340 : 429 - 438
  • [24] 1/F NOISE - A NONLINEAR-GENERALIZED-LANGEVIN-EQUATION APPROACH
    HU, GY
    OCONNELL, RF
    PHYSICAL REVIEW B, 1990, 41 (09): : 5586 - 5594
  • [25] Nonlinear differential equation leading to the 1/f spectrum of current noise
    Gertsenstein, ME
    Potemkin, VV
    NOISE IN PHYSICAL SYSTEMS AND 1/F FLUCTUATIONS, PROCEEDINGS OF THE 14TH INTERNATIONAL CONFERENCE, 1997, : 114 - 117
  • [26] 1/fα noise and generalized diffusion in random Heisenberg spin systems
    Agarwal, Kartiek
    Demler, Eugene
    Martin, Ivar
    PHYSICAL REVIEW B, 2015, 92 (18):
  • [27] IMPURITY DIFFUSION AND 1/F NOISE IN THE MOBILITY OF CURRENT CARRIERS IN SEMICONDUCTORS
    ORLOV, VB
    YAKIMOV, AV
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOFIZIKA, 1984, 27 (12): : 1584 - 1589
  • [28] Temporal fluctuations in the potential energy of proteins:: 1/fα noise and diffusion
    Carlini, P
    Bizzarri, AR
    Cannistraro, S
    PHYSICA D-NONLINEAR PHENOMENA, 2002, 165 (3-4) : 242 - 250
  • [29] 1/f noise due to atomic diffusion of impurity centers in semiconductors
    Grüneis, F
    FLUCTUATION AND NOISE LETTERS, 2001, 1 (04): : L197 - L220
  • [30] DIFFUSION AND L-F NOISE
    GREEN, ME
    JOURNAL OF MEMBRANE BIOLOGY, 1976, 28 (2-3): : 181 - 186