Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Jamming and Soft-Core Rheology
Umeå University, Faculty of Science and Technology, Department of Physics.
2013 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Many different physical systems, such as granular materials, colloids, foams and emulsions exhibit a jamming transition where the system changes from a liquid-like flowing state to a solid jammed state as the packing fraction increases. These systems are often modeled using soft-core particles with repulsive contact forces. In this thesis we explore several different dynamical models for these kinds of systems, and see how they affect the behavior around the jamming transition. We investigate the effect of different types of dissipative forces on the rheology, and study how different methods of preparing a particle configuration affect their probability to jam when quenched. We study the rheology of sheared systems close to the jamming transition. It has been proposed that the athermal jamming transition is controlled by a critical point, point J, with certain scaling properties. We investigate this using multivariable scaling analysis based on renormalization group theory to explore the scaling properties of the transition and determine the position of point J and some of the critical exponents.

Place, publisher, year, edition, pages
Umeå: Umeå Universitet , 2013. , 56 p.
Keyword [en]
jamming, rheology, soft matter, granular material, SLLOD, critical point, critical scaling
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:umu:diva-84200ISBN: 978-91-7459-784-4 (print)OAI: oai:DiVA.org:umu-84200DiVA: diva2:680349
Public defence
2014-01-17, KB3A9 (Lilla hörsalen), Umeå University KBC building, Umeå, 10:00 (English)
Opponent
Supervisors
Available from: 2013-12-19 Created: 2013-12-17 Last updated: 2013-12-19Bibliographically approved
List of papers
1. Glassiness, Rigidity, and Jamming of Frictionless Soft Core Disks
Open this publication in new window or tab >>Glassiness, Rigidity, and Jamming of Frictionless Soft Core Disks
2011 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 83, no 3, 031307- p.Article in journal (Refereed) Published
Abstract [en]

The jamming of bidisperse soft core disks is considered, using a variety of different protocols to produce the jammed state. In agreement with other works, we find that cooling and compression can lead to a broad range of jamming packing fractions ϕJ, depending on cooling rate and initial configuration; the larger the degree of big particle clustering in the initial configuration, the larger will be the value of ϕJ. In contrast, we find that shearing disrupts particle clustering, leading to a much narrower range of ϕJ as the shear strain rate varies. In the limit of vanishingly small shear strain rate, we find a unique nontrivial value for the jamming density that is independent of the initial system configuration. We conclude that shear driven jamming is a unique and well-defined critical point in the space of shear driven steady states. We clarify the relation between glassy behavior, rigidity, and jamming in such systems and relate our results to recent experiments.

Place, publisher, year, edition, pages
American Physical Society, 2011
Keyword
jamming
National Category
Condensed Matter Physics
Identifiers
urn:nbn:se:umu:diva-52156 (URN)10.1103/PhysRevE.83.031307 (DOI)000288790800003 ()
Funder
Swedish Research Council, 2010-3725
Available from: 2012-02-14 Created: 2012-02-13 Last updated: 2017-12-07Bibliographically approved
2. Finite-Size Scaling at the Jamming Transition: Corrections to Scaling and the Correlation-Length Critical Exponent
Open this publication in new window or tab >>Finite-Size Scaling at the Jamming Transition: Corrections to Scaling and the Correlation-Length Critical Exponent
Show others...
2011 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 83, no 3, 030303- p.Article in journal (Refereed) Published
Abstract [en]

We carry out a finite-size scaling analysis of the jamming transition in frictionless bidisperse soft core disks in two dimensions. We consider two different jamming protocols: (i) quench from random initial positions and (ii) quasistatic shearing. By considering the fraction of jammed states as a function of packing fraction for systems with different numbers of particles, we determine the spatial correlation length critical exponent ν≈1 and show that corrections to scaling are crucial for analyzing the data. We show that earlier numerical results yielding ν<1 are due to the improper neglect of these corrections.

Place, publisher, year, edition, pages
American Physical Society, 2011
Keyword
jamming, finite size scaling
National Category
Condensed Matter Physics
Identifiers
urn:nbn:se:umu:diva-52155 (URN)10.1103/PhysRevE.83.030303 (DOI)000288857400001 ()
Funder
Swedish Research Council, 2010-3725
Available from: 2012-02-13 Created: 2012-02-13 Last updated: 2017-12-07Bibliographically approved
3. Pressure distribution and critical exponent in statically jammed and shear-driven frictionless disks
Open this publication in new window or tab >>Pressure distribution and critical exponent in statically jammed and shear-driven frictionless disks
2014 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 89, no 2, 022201- p.Article in journal (Refereed) Published
Abstract [en]

We numerically study the distributions of global pressure that are found in ensembles of statically jammed and quasistatically sheared systems of bidisperse, frictionless disks at fixed packing fraction phi in two dimensions. We use these distributions to address the question of how pressure increases as phi increases above the jamming point phi(J), p similar to |phi - phi(J) |(y). For statically jammed ensembles, our results are consistent with the exponent y being simply related to the power law of the interparticle soft-core interaction. For sheared systems, however, the value of y is consistent with a nontrivial value, as found previously in rheological simulations.

Keyword
jamming, granular matter, critical exponents, pressure ditribution
National Category
Condensed Matter Physics
Identifiers
urn:nbn:se:umu:diva-84194 (URN)10.1103/PhysRevE.89.022201 (DOI)000332178900011 ()
Note

Originally published in dissertation in manuscript form.

Available from: 2013-12-17 Created: 2013-12-17 Last updated: 2017-12-06Bibliographically approved
4. Dissipation and Rheology of Sheared Soft-Core Frictionless Disks Below Jamming
Open this publication in new window or tab >>Dissipation and Rheology of Sheared Soft-Core Frictionless Disks Below Jamming
2014 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 112, no 20, 208303Article in journal (Refereed) Published
Abstract [en]

We use numerical simulations to investigate the effect that different models of energy dissipation have on the rheology of soft-core frictionless disks, below jamming in two dimensions. We find that it is not necessarily the mass of the particles that determines whether a system has Bagnoldian or Newtonian rheology, but rather the presence or absence of large connected clusters of particles. We demonstrate the key role that tangential dissipation plays in the formation of such clusters and in several models find a transition from Bagnoldian to Newtonian rheology as the packing fraction. is varied. For each model, we show that appropriately scaled rheology curves approach a well defined limit as the mass of the particles decreases and collisions become strongly inelastic.

Keyword
Granular matter, rheology, Bagnold
National Category
Condensed Matter Physics
Identifiers
urn:nbn:se:umu:diva-84195 (URN)10.1103/PhysRevLett.112.208303 (DOI)000339554800015 ()
Available from: 2013-12-17 Created: 2013-12-17 Last updated: 2017-12-06Bibliographically approved
5. Universality of Jamming Criticality in Overdamped Shear-Driven Frictionless Disks
Open this publication in new window or tab >>Universality of Jamming Criticality in Overdamped Shear-Driven Frictionless Disks
2014 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 113, no 14, 148002- p.Article in journal (Refereed) Published
Abstract [en]

We investigate the criticality of the jamming transition for overdamped shear-driven frictionless disks in two dimensions for two different models of energy dissipation: (i) Durian’s bubble model with dissipation proportional to the velocity difference of particles in contact, and (ii) Durian’s “mean-field” approximation to (i), with dissipation due to the velocity difference between the particle and the average uniform shear flow velocity. By considering the finite-size behavior of pressure, the pressure analog of viscosity, and the macroscopic friction σ/p  , we argue that these two models share the same critical behavior.

Place, publisher, year, edition, pages
American Physical Society, 2014
Keyword
jamming, universality, granular matter
National Category
Condensed Matter Physics
Identifiers
urn:nbn:se:umu:diva-84199 (URN)10.1103/PhysRevLett.113.148002 (DOI)00034431200014 ()
Available from: 2013-12-17 Created: 2013-12-17 Last updated: 2017-12-06Bibliographically approved

Open Access in DiVA

fulltext_thesis_D_Vagberg(589 kB)499 downloads
File information
File name FULLTEXT01.pdfFile size 589 kBChecksum SHA-512
84523f9cd04a22275607f6150bc3f899d44b15af8658a458e8a90cf439eadcd12420b58a36db6f75b14daf39da90fca022c2109217630bd57077ca16624124ef
Type fulltextMimetype application/pdf
cover_page(292 kB)11 downloads
File information
File name COVER01.pdfFile size 292 kBChecksum SHA-512
d2818da2bdac67128e1529ac5751fedfa2e0ae349b04484fec8c0fa25880ecc99647ccff6ec39eeaf9c9f54bf31f04c2a7aeb573c931df0b025d4e37f8e705bf
Type coverMimetype application/pdf
defence_information(41 kB)7 downloads
File information
File name SPIKBLAD01.pdfFile size 41 kBChecksum SHA-512
8da52496386ee3fddd52ad658a987c196772f68b5551081fb3c3db1bb5fc9f64965c3c74df2c0c9d2bf2445c6fdba7d064fcf4617be84004d411ef6042eee5c1
Type spikbladMimetype application/pdf

Authority records BETA

Vågberg, Daniel

Search in DiVA

By author/editor
Vågberg, Daniel
By organisation
Department of Physics
Condensed Matter Physics

Search outside of DiVA

GoogleGoogle Scholar
Total: 499 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

isbn
urn-nbn

Altmetric score

isbn
urn-nbn
Total: 699 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf