Stable distributions in fragmentation processes

被引：6
作者：
Rodgers, GJ
Hassan, MK
机构：
[1] Department of Physics, Brunel University, Uxbridge Middlesex
[2] Department of Physics, Shahjalal Sci. and Technol. Univ., Sylhet
来源：
PHYSICA A | 1996年 / 233卷 / 1-2期
关键词：
fragmentation; scaling; statistical physics;
D O I：
10.1016/S0378-4371(96)00234-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We introduce three models of fragmentation in which the largest fragment in the system can be broken at each time step with a fixed probability, p. We solve these models exactly in the long time limit to reveal stable time-invariant (scaling) solutions which depend on p and the precise details on the fragmentation process. Various features of these models are compared with those of conventional fragmentation models.
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页码：19 / 30
页数：12
相关论文
共 13 条
  • [1] BALLAUF M, 1989, MACROMOLECULES, V14, P654
  • [2] Basedow AM., 1978, MACROMOLECULES, V11, P774, DOI [10.1021/ma60064a031, DOI 10.1021/MA60064A031]
  • [3] KINETICS OF FRAGMENTATION
    CHENG, Z
    REDNER, S
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (07): : 1233 - 1258
  • [4] STABLE-DISTRIBUTIONS OF GROWING AND COALESCING DROPLETS
    DERRIDA, B
    GODRECHE, C
    YEKUTIELI, I
    [J]. EUROPHYSICS LETTERS, 1990, 12 (05): : 385 - 390
  • [5] STATISTICAL PROPERTIES OF RANDOMLY BROKEN OBJECTS AND OF MULTIVALLEY STRUCTURES IN DISORDERED-SYSTEMS
    DERRIDA, B
    FLYVBJERG, H
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (15): : 5273 - 5288
  • [6] FILIPPOV AF, 1961, THEOR PROBAB APPL, V4, P275
  • [7] Extremal properties of random systems
    Frachebourg, L
    Ispolatov, I
    Krapivsky, PL
    [J]. PHYSICAL REVIEW E, 1995, 52 (06) : R5727 - R5730
  • [8] FRACTURE OF BRITTLE SOLIDS .1. DISTRIBUTION FUNCTION FOR FRAGMENT SIZE IN SINGLE FRACTURE (THEORETICAL)
    GILVARRY, JJ
    [J]. JOURNAL OF APPLIED PHYSICS, 1961, 32 (03) : 391 - &
  • [9] SHATTERING TRANSITION IN FRAGMENTATION
    MCGRADY, ED
    ZIFF, RM
    [J]. PHYSICAL REVIEW LETTERS, 1987, 58 (09) : 892 - 895
  • [10] LENGTH REDUCTION OF FIBRES SUBJECT TO BREAKAGE
    MEYER, R
    ALMIN, KE
    STEENBERG, B
    [J]. BRITISH JOURNAL OF APPLIED PHYSICS, 1966, 17 (03): : 409 - +
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