Domain wall delocalization, dynamics and fluctuations in an exclusion process with two internal states.

T Reichenbach, T Franosch, E Frey
Author Information
  1. T Reichenbach: Arnold Sommerfeld Center for Theoretical Physics, Department of Physics, Ludwig-Maximilians-Universität München, Theresienstrasse 37, D-80333 München, Germany. tobias.reichenbach@physik.lmu.de

Abstract

We investigate the delocalization transition appearing in an exclusion process with two internal states, respectively on two parallel lanes. At the transition, delocalized domain walls form in the density profiles of both internal states, in agreement with a mean-field approach. Remarkably, the topology of the system's phase diagram allows for the delocalization of a (localized) domain wall when approaching the transition. We quantify the domain wall's delocalization close to the transition by analytic results obtained within the framework of the domain wall picture. Power law dependences of the domain wall width on the distance to the delocalization transition as well as on the system size are uncovered, they agree with numerical results.

References

  1. Phys Rev Lett. 2003 Feb 28;90(8):086601 [PMID: 12633448]
  2. Phys Rev E Stat Nonlin Soft Matter Phys. 2008 May;77(5 Pt 1):050902 [PMID: 18643016]
  3. Science. 1998 Jan 23;279(5350):519-26 [PMID: 9438838]
  4. Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Sep;66(3 Pt 1):031904 [PMID: 12366149]
  5. Phys Rev Lett. 2005 Mar 18;94(10):108102 [PMID: 15783529]
  6. Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Sep;72(3 Pt 2):036123 [PMID: 16241531]
  7. Phys Rev Lett. 2006 Aug 4;97(5):050603 [PMID: 17026091]
  8. Biopolymers. 1968;6(1):1-5 [PMID: 5641411]
  9. Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Aug;76(2 Pt 1):021117 [PMID: 17930016]
  10. Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Feb;75(2 Pt 1):021902 [PMID: 17358362]
  11. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jun;67(6 Pt 2):066117 [PMID: 16241314]
  12. Phys Rev Lett. 2005 Mar 25;94(11):115701 [PMID: 15903871]
  13. Phys Rev Lett. 1991 Sep 30;67(14):1882-1885 [PMID: 10044275]
  14. Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Oct;70(4 Pt 2):046101 [PMID: 15600454]
  15. Phys Rev Lett. 2001 Sep 3;87(10):108101 [PMID: 11531504]
  16. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Aug;68(2 Pt 2):026117 [PMID: 14525059]

MeSH Term

Algorithms
Biophysics
Computer Simulation
Models, Biological
Models, Theoretical
Molecular Structure
RNA, Messenger
Stochastic Processes
Thermodynamics

Chemicals

RNA, Messenger

Word Cloud

Created with Highcharts 10.0.0delocalizationtransitiondomainwalltwointernalstatesexclusionprocessresultsinvestigateappearingrespectivelyparallellanesdelocalizedwallsformdensityprofilesagreementmean-fieldapproachRemarkablytopologysystem'sphasediagramallowslocalizedapproachingquantifywall'scloseanalyticobtainedwithinframeworkpicturePowerlawdependenceswidthdistancewellsystemsizeuncoveredagreenumericalDomaindynamicsfluctuations

Similar Articles

Cited By

No available data.