Replica Symmetry Breaking in Trajectories of a Driven Brownian Particle

Physical Review Letters
Masahiko Ueda, Shin-ichi Sasa

Abstract

We study a Brownian particle passively driven by a field obeying the noisy Burgers' equation. We demonstrate that the system exhibits replica symmetry breaking in the path ensemble with the initial position of the particle being fixed. The key step of the proof is that the path ensemble with a modified boundary condition can be exactly mapped onto the canonical ensemble of directed polymers.

References

Mar 1, 1969·Journal of Theoretical Biology·S A Kauffman
Jan 1, 1997·Annual Review of Biophysics and Biomolecular Structure·M J Saxton, K Jacobson
Aug 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D Ertas, M Kardar
Oct 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J P BouchaudG Parisi
Feb 1, 1994·Physical Review. B, Condensed Matter·T Hwa, D S Fisher
Mar 3, 1986·Physical Review Letters·M KardarY C Zhang
May 18, 1987·Physical Review Letters·M Kardar, Y C Zhang
May 21, 1990·Physical Review Letters·J BouchaudS Redner
May 10, 1993·Physical Review Letters·T Bohr, A Pikovsky
Jun 23, 2000·Nature·B I Shraiman, E D Siggia
Oct 6, 2000·Physical Review Letters·X L Wu, A Libchaber
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·E Brunet, B Derrida
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chen-Shan Chin
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Wilkinson, B Mehlig
Jun 1, 2004·Physical Review Letters·I Y WongD A Weitz
Sep 2, 2004·Biophysical Journal·Matthias WeissTommy Nilsson
Sep 28, 2004·Physical Review Letters·E Baskin, A Iomin
Dec 17, 2004·Physical Review Letters·Jun-Nosuke Teramae, Dan Tanaka
Jun 7, 2005·Nature Materials·Predrag BursacJeffrey J Fredberg
Jul 27, 2005·Proceedings of the National Academy of Sciences of the United States of America·Mauro MerolleDavid Chandler
Oct 13, 2005·Proceedings of the National Academy of Sciences of the United States of America·Helge EwersAri Helenius
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Apoorva NagarMustansir Barma
Jan 20, 2007·Science·Daisuke MizunoF C Mackintosh
Aug 7, 2007·Physical Review Letters·J P GarrahanF van Wijland
Mar 21, 2008·Physical Review Letters·Bin Liu, J Goree
Feb 7, 2009·Science·Lester O HedgesDavid Chandler
Aug 12, 2009·Proceedings of the National Academy of Sciences of the United States of America·Bo WangSteve Granick
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Robert L Jack, Juan P Garrahan
May 21, 2010·Physical Review Letters·Léonie CanetNicolás Wschebor
Sep 28, 2010·Physical Review Letters·Tomohiro Sasamoto, Herbert Spohn
Jul 21, 2011·Physical Review Letters·Pasquale Calabrese, Pierre Le Doussal
Feb 7, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Takahiro Nemoto, Shin-ichi Sasa
Feb 23, 2012·Scientific Reports·Kazumasa A TakeuchiHerbert Spohn
May 23, 2012·Nature Materials·Bo WangSteve Granick
Jul 20, 2014·Molecular Cell·Zakary S SingerMichael B Elowitz

❮ Previous
Next ❯

Citations

Feb 17, 2018·Physical Review. E·Tapas Singha, Mustansir Barma
Oct 9, 2018·Physical Review Letters·Masahiko Ueda, Shin-Ichi Sasa
Oct 9, 2018·Physical Review Letters·Tapas Singha, Mustansir Barma
Jun 18, 2021·Physical Review. E·Jakub Dolezal, Robert L Jack

❮ 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. B, Condensed Matter
de Almeida JR, R Bruinsma
Physical Review. B, Condensed Matter
S E Korshunov
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
E FreyT Hwa
© 2021 Meta ULC. All rights reserved