Document Detail


Reynolds pressure and relaxation in a sheared granular system.
MedLine Citation:
PMID:  23383846     Owner:  NLM     Status:  In-Data-Review    
Abstract/OtherAbstract:
We describe experiments that probe the evolution of shear jammed states, occurring for packing fractions ϕ_{S}≤ϕ≤ϕ_{J}, for frictional granular disks, where above ϕ_{J} there are no stress-free static states. We use a novel shear apparatus that avoids the formation of inhomogeneities known as shear bands. This fixed ϕ system exhibits coupling between the shear strain, γ, and the pressure, P, which we characterize by the "Reynolds pressure" and a "Reynolds coefficient," R(ϕ)=(∂^{2}P/∂γ^{2})/2. R depends only on ϕ and diverges as R∼(ϕ_{c}-ϕ)^{α}, where ϕ_{c}≃ϕ_{J} and α≃-3.3. Under cyclic shear, this system evolves logarithmically slowly towards limit cycle dynamics, which we characterize in terms of pressure relaxation at cycle n:  ΔP≃-βln⁡(n/n_{0}). β depends only on the shear cycle amplitude, suggesting an activated process where β plays a temperaturelike role.
Authors:
Jie Ren; Joshua A Dijksman; Robert P Behringer
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Publication Detail:
Type:  Journal Article     Date:  2013-01-02
Journal Detail:
Title:  Physical review letters     Volume:  110     ISSN:  1079-7114     ISO Abbreviation:  Phys. Rev. Lett.     Publication Date:  2013 Jan 
Date Detail:
Created Date:  2013-02-06     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401141     Medline TA:  Phys Rev Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  018302     Citation Subset:  IM    
Affiliation:
Department of Physics & Center for Non-linear and Complex Systems, Duke University, Science Drive, Durham, North Carolina 27708-0305, USA.
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