Dynamical scaling of the structure factor of some non-Euclidean systems

被引:31
|
作者
Mazumder, S [1 ]
Sen, D
Patra, AK
Khadilkar, SA
Cursetji, RM
Loidl, R
Baron, M
Rauch, H
机构
[1] Bhabha Atom Res Ctr, Div Solid State Phys, Bombay 400085, Maharashtra, India
[2] Associated Cement Co Ltd, Res & Consultancy Directorate, R&D Div, Thana 400604, India
[3] Osterreich Univ, Atominst, A-1020 Vienna, Austria
[4] Inst Max Von Laue Paul Langevin, F-38042 Grenoble, France
关键词
D O I
10.1103/PhysRevLett.93.255704
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Predictions of nonlinear theories on dynamics of new phase formation have been examined for the hydration of calcium silicates with light water and heavy water. In the case of hydration with light water, reasonable agreement has been observed with dynamical scaling hypothesis with a new measure of the characteristic length. The characteristic length does not follow a power law relation with time. Hydrating mass is found to be mass fractal throughout hydration, with mass fractal dimension increasing with time. But, in the case of hydration with heavy water, no agreement has been observed with the scaling hypothesis. Hydrating mass undergoes transition from mass fractal to surface fractal and finally again to mass fractal. The qualitative features of the kinetics of hydration, as measured in small-angle scattering experiments, are strikingly different for hydration with light water and heavy water.
引用
收藏
页数:4
相关论文
共 50 条
  • [1] Temporal evolution of mesoscopic structure and dynamical scaling of the structure factor of some non-Euclidean systems
    Mazumder, S
    Sen, D
    Patra, AK
    Khadilkar, SA
    Cursetji, RM
    Loidl, R
    Baron, M
    Rauch, H
    [J]. PHYSICAL REVIEW B, 2005, 72 (22)
  • [2] Dynamical scaling of the structure factor for mesoscopic structures with non-Euclidean fractal morphology
    Mazumder, S.
    Loidl, R.
    Rauch, H.
    [J]. PHYSICAL REVIEW B, 2007, 76 (06)
  • [3] Scaling and testing for non-Euclidean spaces
    Spencer-Smith, J
    [J]. PROCEEDINGS OF THE TWENTY-SECOND ANNUAL CONFERENCE OF THE COGNITIVE SCIENCE SOCIETY, 2000, : 1057 - 1057
  • [4] Dynamic scaling of non-euclidean interfaces
    Escudero, Carlos
    [J]. PHYSICAL REVIEW LETTERS, 2008, 100 (11)
  • [5] PROJECTED DYNAMICAL SYSTEMS ON IRREGULAR, NON-EUCLIDEAN DOMAINS FOR NONLINEAR OPTIMIZATION
    Hauswirth, Adrian
    Bolognani, Saverio
    Dorfler, Florian
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 59 (01) : 635 - 668
  • [6] Comment on "Dynamic Scaling of Non-Euclidean Interfaces"
    Krug, Joachim
    [J]. PHYSICAL REVIEW LETTERS, 2009, 102 (13)
  • [7] Temporal evolution of mesoscopic structure of some non-Euclidean systems using a Monte Carlo model
    Mazumdar, T.
    Mazumder, S.
    Sen, D.
    [J]. PHYSICAL REVIEW B, 2011, 83 (10):
  • [8] The non-Euclidean structure of phenomenal space
    不详
    [J]. JAPANESE JOURNAL OF PSYCHOLOGY, 1933, 8 (01): : 107 - 107
  • [9] STRUCTURE OF NON-EUCLIDEAN CRYSTALLOGRAPHIC GROUPS
    SINGERMAN, D
    [J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1974, 76 : 233 - 240
  • [10] SOME COMMENTS ON NON-EUCLIDEAN MENTAL MAPS
    GOLLEDGE, RG
    HUBERT, LJ
    [J]. ENVIRONMENT AND PLANNING A, 1982, 14 (01) : 107 - 118