PMID: 15244535Jul 13, 2004Paper

Scaling and crossovers in activated escape near a bifurcation point

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
D RyvkineB Golding

Abstract

Near a bifurcation point a system experiences a critical slowdown. This leads to scaling behavior of fluctuations. We find that a periodically driven system may display three scaling regimes and scaling crossovers near a saddle-node bifurcation where a metastable state disappears. The rate of activated escape W scales with the driving field amplitude A as ln W proportional, variant ( A(c) -A)(xi), where A(c) is the bifurcational value of A. With increasing field frequency the critical exponent xi changes from xi=3/2 for stationary systems to a dynamical value xi=2 and then again to xi=3/2. The analytical results are in agreement with the results of asymptotic calculations in the scaling region. Numerical calculations and simulations for a model system support the theory.

References

Feb 1, 1987·Physical Review A: General Physics·R Graham, T Tél
Jul 15, 1992·Physical Review. a·I DayanG H Weiss
Dec 1, 1991·Physical Review. B, Condensed Matter·S Linkwitz, H Grabert
Aug 8, 1988·Physical Review Letters·F Sharifi Van Harlingen DJ
Oct 16, 1989·Physical Review Letters·S HanJ E Lukens
Jul 24, 1989·Physical Review Letters·R H Victora
Jan 22, 1996·Physical Review Letters·R N Mantegna, B Spagnolo
Sep 16, 2000·Physical Review Letters·R H KochS S Parkin
Oct 4, 2000·Physical Review Letters·J LehmannP Hanggi
May 1, 2001·Physical Review Letters·R S Maier, D L Stein
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M BierR D Astumian
Nov 22, 2002·Physical Review Letters·E B MyersD C Ralph
Jun 5, 2003·Chaos·M. I. DykmanP. V. E. McClintock
Jun 5, 2003·Chaos·Kurt Wiesenfeld, Fernan Jaramillo
Mar 5, 2004·Physical Review Letters·M I DykmanD Ryvkine

❮ Previous
Next ❯

Citations

Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D Ryvkine, M I Dykman
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos Escudero, José Angel Rodríguez
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Martin Bier

❮ 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
D Ryvkine, M I Dykman
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
J LehmannP Hanggi
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M I DykmanM Shapiro
Physical Review Letters
J LehmannP Hanggi
© 2022 Meta ULC. All rights reserved