PMID: 22587036May 17, 2012Paper

Nonstationary dynamics of the Alessandro-Beatrice-Bertotti-Montorsi model

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Alexander DobrinevskiKay Jörg Wiese

Abstract

We obtain an exact solution for the motion of a particle driven by a spring in a Brownian random-force landscape, the Alessandro-Beatrice-Bertotti-Montorsi (ABBM) model. Many experiments on quasistatic driving of elastic interfaces (Barkhausen noise in magnets, earthquake statistics, shear dynamics of granular matter) exhibit the same universal behavior as this model. It also appears as a limit in the field theory of elastic manifolds. Here we discuss predictions of the ABBM model for monotonous, but otherwise arbitrary, time-dependent driving. Our main result is an explicit formula for the generating functional of particle velocities and positions. We apply this to derive the particle-velocity distribution following a quench in the driving velocity. We also obtain the joint avalanche size and duration distribution and the mean avalanche shape following a jump in the position of the confining spring. Such nonstationary driving is easy to realize in experiments, and provides a way to test the ABBM model beyond the stationary, quasistatic regime. We study extensions to two elastically coupled layers, and to an elastic interface of internal dimension d, in the Brownian force landscape. The effective action of the field theory is e...Continue Reading

References

Sep 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D SpasojevicH E Stanley
Nov 1, 1992·Physical Review. B, Condensed Matter·O Narayan, D S Fisher
Sep 1, 1993·Physical Review. B, Condensed Matter·O Narayan, D S Fisher
Feb 3, 1992·Physical Review Letters·A A Middleton
Mar 22, 2001·Nature·J P SethnaC R Myers
Apr 6, 2001·Physical Review Letters·P ChauveK J Wiese
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P Le DoussalD S Fisher
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre Le Doussal, Kay Jörg Wiese
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrei A Fedorenko, Semjon Stepanow
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre Le Doussal, Kay Jörg Wiese
Mar 11, 2004·The European Physical Journal. E, Soft Matter·S MoulinetE Rolley
Mar 24, 2005·Physical Review Letters·Alejandro B KoltonThierry Giamarchi
Dec 13, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrei A FedorenkoKay Jörg Wiese
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre Le DoussalKay Jörg Wiese
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre Le Doussal, Kay Jörg Wiese
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre Le Doussal, Kay Jörg Wiese
Nov 13, 2009·Physical Review Letters·Alejandro B KoltonPierre Le Doussal
Feb 7, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yan-Jiun ChenGianfranco Durin

❮ Previous
Next ❯

Citations

Dec 20, 2013·Nature Communications·Lasse LaursonMikko J Alava
Dec 15, 2016·Physical Review. E·Michael LeBlancKarin A Dahmen
Jan 20, 2018·Physical Review. E·Zhaoxuan Zhu, Kay Jörg Wiese
Apr 16, 2020·Physical Review. E·Pierre Le Doussal, Thimothée Thiery
Apr 4, 2015·Physical Review Letters·Pierre Le Doussal, Kay Jörg Wiese
Sep 3, 2016·Physical Review Letters·G DurinK J Wiese
Nov 20, 2019·Scientific Reports·A BaldassarriA Petri
Sep 17, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre Le Doussal, Kay Jörg Wiese
Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexander DobrinevskiKay Jörg Wiese
May 20, 2014·Physical Review Letters·E A JaglaAlberto Rosso
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre Le Doussal, Kay Jörg Wiese
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre Le DoussalKay Jörg Wiese
Jun 18, 2021·Physical Review. E·Cathelijne Ter Burg, Kay Jörg Wiese

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Alexander DobrinevskiKay Jörg Wiese
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Pierre Le Doussal, Kay Jörg Wiese
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Pierre Le Doussal, Kay Jörg Wiese
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Pierre Le Doussal, Kay Jörg Wiese
© 2021 Meta ULC. All rights reserved