NDLI: A unified framework for non-Brownian suspension flows and soft amorphous solids

Content Provider	PubMed Central
Author	Lerner, Edan Düring, Gustavo Wyart, Matthieu
Abstract	While the rheology of non-Brownian suspensions in the dilute regime is well understood, their behavior in the dense limit remains mystifying. As the packing fraction of particles increases, particle motion becomes more collective, leading to a growing length scale and scaling properties in the rheology as the material approaches the jamming transition. There is no accepted microscopic description of this phenomenon. However, in recent years it has been understood that the elasticity of simple amorphous solids is governed by a critical point, the unjamming transition where the pressure vanishes, and where elastic properties display scaling and a diverging length scale. The correspondence between these two transitions is at present unclear. Here we show that for a simple model of dense flow, which we argue captures the essential physics near the jamming threshold, a formal analogy can be made between the rheology of the flow and the elasticity of simple networks. This analogy leads to a new conceptual framework to relate microscopic structure to rheology. It enables us to define and compute numerically normal modes and a density of states. We find striking similarities between the density of states in flow, and that of amorphous solids near unjamming: both display a plateau above some frequency scale ω ∗ ∼ \|z c - z\|, where z is the coordination of the network of particle in contact, z c = 2D where D is the spatial dimension. However, a spectacular difference appears: the density of states in flow displays a single mode at another frequency scale ω min ≪ ω ∗ governing the divergence of the viscosity.
Related Links	http://dx.doi.org/10.1073/pnas.1120215109
Starting Page	4798
File Format	PDF
ISSN	10916490
e-ISSN	10916490
Journal	Proceedings of the National Academy of Sciences of the United States of America
Issue Number	13
Volume Number	109
Language	English
Publisher	National Academy of Sciences
Publisher Date	2012-03-27
Access Restriction	Open
Rights Holder	National Academy of Sciences
Subject Keyword	Research in Higher Education
Content Type	Text
Resource Type	Article
Subject	Multidisciplinary

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

A unified framework for non-brownian suspension flows and soft amorphous solids.

A unified framework for non-Brownian suspension flows and soft amorphous solids

Scaling description of the yielding transition in soft amorphous solids at zero temperature

A unified statistical framework for sequence comparison and structure comparison

A unified framework for linkage and association analysis of quantitative traits

Multiperiodic orbits from interacting soft spots in cyclically sheared amorphous solids.

Scaling description of the yielding transition in soft amorphous solids at zero temperature.

A Unified Framework for Creating Domain Dependent Polarity Lexicons from User Generated Reviews

Pattern formation in a rotating suspension of non-brownian settling particles (2004).

A unified framework for non-Brownian suspension flows and soft amorphous solids

Similar Documents

A unified framework for non-brownian suspension flows and soft amorphous solids.

A unified framework for non-Brownian suspension flows and soft amorphous solids

Scaling description of the yielding transition in soft amorphous solids at zero temperature

A unified statistical framework for sequence comparison and structure comparison

A unified framework for linkage and association analysis of quantitative traits

Multiperiodic orbits from interacting soft spots in cyclically sheared amorphous solids.

Scaling description of the yielding transition in soft amorphous solids at zero temperature.

A Unified Framework for Creating Domain Dependent Polarity Lexicons from User Generated Reviews

Pattern formation in a rotating suspension of non-brownian settling particles (2004).

A unified framework for non-Brownian suspension flows and soft amorphous solids