PMID: 15244700Jul 13, 2004Paper

Absorbing state phase transitions with quenched disorder

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
J HooyberghsC Vanderzande

Abstract

Quenched disorder--in the sense of the Harris criterion--is generally a relevant perturbation at an absorbing state phase transition point. Here using a strong disorder renormalization group framework and effective numerical methods we study the properties of random fixed points for systems in the directed percolation universality class. For strong enough disorder the critical behavior is found to be controlled by a strong disorder fixed point, which is isomorph with the fixed point of random quantum Ising systems. In this fixed point dynamical correlations are logarithmically slow and the static critical exponents are conjecturedly exact for one-dimensional systems. The renormalization group scenario is confronted with numerical results on the random contact process in one and two dimensions and satisfactory agreement is found. For weaker disorder the numerical results indicate static critical exponents which vary with the strength of disorder, whereas the dynamical correlations are compatible with two possible scenarios. Either they follow a power-law decay with a varying dynamical exponent, like in random quantum systems, or the dynamical correlations are logarithmically slow even for a weak disorder. For models in the parit...Continue Reading

References

Jan 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·I Jensen
Oct 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A G Moreira, R Dickman
Mar 1, 1995·Physical Review. B, Condensed Matter·D S Fisher
Jun 16, 1986·Physical Review Letters·R M ZiffY Barshad
May 18, 1992·Physical Review Letters·H Takayasu, A Y Tretyakov
Jul 20, 1992·Physical Review Letters·D S Fisher
Apr 15, 1996·Physical Review Letters·T Senthil, S N Majumdar
Dec 2, 1996·Physical Review Letters·J Cardy, U C Täuber
Sep 6, 2000·Physical Review Letters·M RossiA Vespignani
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M Howard Baekgaard Lauritsen K
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J Hooyberghs, C Vanderzande
Oct 3, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J HooyberghsC Vanderzande
Jan 22, 2002·Physical Review Letters·E CarlonF Iglói
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P Le DoussalD S Fisher
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Róbert Juhász, Ferenc Iglói
Apr 12, 2003·Physical Review Letters·Julien Kockelkoren, Hugues Chaté
Apr 12, 2003·Physical Review Letters·Jef HooyberghsCarlo Vanderzande

❮ Previous
Next ❯

Citations

Aug 26, 2014·The Journal of Chemical Physics·G L HoenickeW Figueiredo
Feb 9, 2005·Physical Review Letters·Róbert JuhászFerenc Iglói
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas Vojta, Mark Dickison
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Róbert JuhászFerenc Iglói
Feb 21, 2006·Physical Review Letters·Thomas Vojta, Man Young Lee
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Géza Odor, Nóra Menyhárd
Dec 13, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C J NeugebauerS N Taraskin
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Róbert JuhászFerenc Iglói
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C J Neugebauer, S N Taraskin
Nov 13, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S V FallertS N Taraskin
Nov 13, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Cécile Monthus, Thomas Garel
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrew R Missel, Karin A Dahmen
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Man Young Lee, Thomas Vojta
Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Róbert JuhászFerenc Iglói
Feb 17, 2018·Physical Review. E·Róbert Juhász, Ferenc Iglói
May 22, 2019·Physical Review. E·M N GonzagaM M de Oliveira
Aug 17, 2020·Physical Review. E·Róbert Juhász, István A Kovács
Feb 13, 2016·Physical Review. E·Marcelo M de OliveiraSilvio C Ferreira
Sep 15, 2016·Physical Review. E·Hatem BarghathiJosé A Hoyos
Mar 17, 2017·Physical Review. E·Róbert Juhász, Ferenc Iglói
Sep 21, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·István A Kovács, Ferenc Iglói
Mar 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Róbert Juhász
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S N TaraskinC A Gilligan
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S N Taraskin
Nov 7, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ahmed K IbrahimThomas Vojta
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M KarsaiF Iglói
Dec 16, 2020·Scientific Reports·István A Kovács, Róbert Juhász
Feb 20, 2021·Physical Review. E·Alexander H O Wada, José A Hoyos
Feb 1, 2008·Physical Review Letters·José A HoyosThomas Vojta
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Róbert Juhász
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Cécile Monthus, Thomas Garel
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sang Bub Lee
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·José A Hoyos
Jul 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hyun Keun LeeJae Dong Noh
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas Vojta
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S V Fallert, S N Taraskin
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sang B Lee
Oct 4, 2014·Physical Review Letters·Hatem Barghathi, Thomas Vojta
Mar 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hatem BarghathiThomas Vojta
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marcelo M de OliveiraRonald Dickman
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sang Bub Lee
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Róbert JuhászMiguel A Muñoz
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas VojtaJason Mast

❮ 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
Thomas VojtaJason Mast
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
José A Hoyos
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
C ArgoloM L Lyra
© 2022 Meta ULC. All rights reserved