PMID: 11308918Apr 20, 2001Paper

Rigidity transition in two-dimensional random fiber networks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M Latva-KokkoJ Timonen

Abstract

Rigidity percolation is analyzed in two-dimensional random fibrous networks. The model consists of central forces between the adjacent crossing points of the fibers. Two strategies are used to incorporate rigidity: adding extra constraints between second-nearest crossing points with a probability p(sn), and "welding" individual crossing points by adding there four additional constraints with a probability p(weld), and thus fixing the angles between the fibers. These additional constraints will make the model rigid at a critical probability p(sn)=p(sn)(c) and p(weld)=p(weld)(c), respectively. Accurate estimates are given for the transition thresholds and for some of the associated critical exponents. The transition is found in both cases to be in the same universality class as that of the two-dimensional central-force rigidity percolation in diluted lattices.

References

Jul 1, 1994·Physical Review. a·E CiaramellaE Santamato
Apr 1, 1988·Physical Review. B, Condensed Matter·W Tang, M F Thorpe
Apr 15, 1989·Physical Review. B, Condensed Matter·S S YunP Boolchand
Jun 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D H Boal
Apr 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D J Jacobs, M F Thorpe
Nov 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S J BarskyZ Zhou
Jul 1, 1989·Physical Review. B, Condensed Matter·N BarberanA Gras-Marti
Jul 1, 1989·Physical Review. B, Condensed Matter·A Hansen, S Roux
Jan 1, 1993·Physical Review. B, Condensed Matter·S Arbabi, M Sahimi
Jun 9, 1986·Physical Review Letters·W BresserP Suranyi
Jun 9, 1986·Physical Review Letters·A R DayA Tremblay
May 29, 1995·Physical Review Letters·S P Obukhov
Nov 27, 1995·Physical Review Letters·D J Jacobs, M F Thorpe
Nov 27, 1995·Physical Review Letters·C Moukarzel, P M Duxbury
Sep 23, 1996·Physical Review Letters·M KellomäkiJ Timonen
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M A de Menezes, C F Moukarzel

❮ Previous
Next ❯

Citations

Sep 4, 2007·The European Physical Journal. E, Soft Matter·C Heussinger, E Frey
Feb 3, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D A HeadF C MacKintosh
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sitikantha Roy, H Jerry Qi
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiaoming MaoT C Lubensky
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Latva-Kokko, J Timonen
Nov 15, 2016·Physical Review. E·A SharmaF C MacKintosh
Nov 20, 2018·Multiscale Modeling & Simulation : a SIAM Interdisciplinary Journal·Samuel HeroyPeter J Mucha
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J A ÅströmMikko Karttunen
Aug 7, 2007·Physical Review Letters·Moumita DasAlex J Levine
Nov 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M V Chubynsky, M F Thorpe
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gustavo R Plaza
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alberto CarpinteriAlberto Sapora
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D A HeadA J Levine
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J A AströmJ Timonen
Jun 22, 2021·Soft Matter·Karsten Baumgarten, Brian P Tighe

❮ Previous
Next ❯

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
M Latva-Kokko, J Timonen
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
J A AstromJ Timonen
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Claus HeussingerErwin Frey
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Soumyajyoti BiswasAnjan Kumar Chandra
© 2021 Meta ULC. All rights reserved