Universal rescaling of flow curves for yield-stress fluids close to jamming

被引:38
作者
Dinkgreve, M. [1 ]
Paredes, J. [1 ]
Michels, M. A. J. [2 ]
Bonn, D. [1 ]
机构
[1] Univ Amsterdam, Inst Phys, Van der Waals Zeeman Inst, NL-1018 XH Amsterdam, Netherlands
[2] Eindhoven Univ Technol, Dept Appl Phys, Theory Polymers & Soft Matter, NL-5600 MB Eindhoven, Netherlands
来源
PHYSICAL REVIEW E | 2015年 / 92卷 / 01期
关键词
HETEROGENEOUS DYNAMICS; MECHANICAL REJUVENATION; MOLECULAR MOBILITY; GLASS-TRANSITION; DEFORMATION; RHEOLOGY; CREEP; VISCOSITY; RIGIDITY; BEHAVIOR;
D O I
10.1103/PhysRevE.92.012305
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The experimental flow curves of four different yield-stress fluids with different interparticle interactions are studied near the jamming concentration. By appropriate scaling with the distance to jamming all rheology data can be collapsed onto master curves below and above jamming that meet in the shear-thinning regime and satisfy the Herschel-Bulkley and Cross equations, respectively. In spite of differing interactions in the different systems, master curves characterized by universal scaling exponents are found for the four systems. A two-state microscopic theory of heterogeneous dynamics is presented to rationalize the observed transition from Herschel-Bulkley to Cross behavior and to connect the rheological exponents to microscopic exponents for the divergence of the length and time scales of the heterogeneous dynamics. The experimental data and the microscopic theory are compared with much of the available literature data for yield-stress systems.
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页数:17
相关论文
共 90 条
  • [1] Topological persistence and dynamical heterogeneities near jamming
    Abate, A. R.
    Durian, D. J.
    [J]. PHYSICAL REVIEW E, 2007, 76 (02):
  • [2] ON TEMPERATURE DEPENDENCE OF COOPERATIVE RELAXATION PROPERTIES IN GLASS-FORMING LIQUIDS
    ADAM, G
    GIBBS, JH
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1965, 43 (01) : 139 - &
  • [3] Analysis of power law models for the creep of nucleus pulposus tissue
    Agosti, C. D.
    Bell, K. M.
    Plazek, D. J.
    Larson, J.
    Kang, J. D.
    Gilbertson, L. G.
    Smolinski, P.
    [J]. BIORHEOLOGY, 2010, 47 (02) : 143 - 151
  • [4] Direct identification of the glass transition: Growing length scale and the onset of plasticity
    Aharonov, E.
    Bouchbinder, E.
    Hentschel, H. G. E.
    Ilyin, V.
    Makedonska, N.
    Procaccia, I.
    Schupper, N.
    [J]. EPL, 2007, 77 (05)
  • [5] [Anonymous], 2001, Jamming and Rheology
  • [6] [Anonymous], ARXIV150205281
  • [7] [Anonymous], P ROY SOC LONDON A
  • [8] Rheology of soft colloids across the onset of rigidity: scaling behavior, thermal, and non-thermal responses
    Basu, Anindita
    Xu, Ye
    Still, Tim
    Arratia, P. E.
    Zhang, Zexin
    Nordstrom, K. N.
    Rieser, Jennifer M.
    Gollub, J. P.
    Durian, D. J.
    Yodh, A. G.
    [J]. SOFT MATTER, 2014, 10 (17) : 3027 - 3035
  • [9] Berthier L., 2011, DYNAMICAL HETEROGENI
  • [10] Jamming - A new kind of phase transition?
    Biroli, Giulio
    [J]. NATURE PHYSICS, 2007, 3 (04) : 222 - 223