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| Content Provider | World Health Organization (WHO)-Global Index Medicus |
|---|---|
| Author | Vågberg, Daniel Olsson, Peter Teitel, S. |
| Description | Country affiliation: Netherlands Author Affiliation: Vågberg D ( Process & Energy Laboratory, Delft University of Technology, Leeghwaterstraat 39, 2628 CB Delft, The Netherlands.); Olsson P ( Department of Physics, Umeå University, 901 87 Umeå, Sweden.); Teitel S ( Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA.) |
| Abstract | We carry out constant volume simulations of steady-state shear-driven rheology in a simple model of bidisperse soft-core frictionless disks in two dimensions, using a dissipation law that gives rise to Bagnoldian rheology. We discuss in detail the critical scaling ansatz for the shear-driven jamming transition and carry out a detailed scaling analysis of our resulting data for pressure $ p $ and shear stress $ σ $ . Our analysis determines the critical exponent $ β $ that describes the algebraic divergence of the Bagnold transport coefficients $ lim _{ { ̇ \atop γ } → 0 } p / { ̇ \atop γ }^{ 2 } , σ / { ̇ \atop γ }^{ 2 } ∼ ( ϕ _{ J } − ϕ ) ^{ − β } $ as the jamming transition $ ϕ _{ J } $ is approached from below. For the low strain rates considered in this work, we show that it is still necessary to consider the leading correction-to-scaling term in order to achieve a self-consistent analysis of our data, in which the critical parameters become independent of the size of the window of data used in the analysis. We compare our resulting value $ β ≈ 5.0 ± 0.4 $ against previous numerical results and competing theoretical models. Our results confirm that the shear-driven jamming transition in Bagnoldian systems is well described by a critical scaling theory and we relate this scaling theory to the phenomenological constituent laws for dilatancy and friction. |
| File Format | HTM / HTML |
| ISSN | 24700045 |
| e-ISSN | 24700053 |
| Journal | Physical Review E |
| Issue Number | 5 |
| Volume Number | 93 |
| Language | English |
| Publisher | American Physical Society |
| Publisher Date | 2016-05-01 |
| Publisher Place | United States |
| Access Restriction | Open |
| Subject Keyword | Statistical and Nonlinear Physics many-body systems Condensed Matter Physics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Statistical and Nonlinear Physics Condensed Matter Physics |
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