Aging phenomena in the two-dimensional complex Ginzburg-Landau equation

Simple item page
dc.contributor.authorLiu, Weigangen
dc.contributor.authorTäuber, Uwe C.en
dc.contributor.departmentCenter for Soft Matter and Biological Physicsen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-12-29T14:45:06Zen
dc.date.available2019-12-29T14:45:06Zen
dc.date.issued2019-11en
dc.date.updated2019-12-29T14:45:04Zen
dc.description.abstractThe complex Ginzburg-Landau equation with additive noise is a stochastic partial differential equation that describes a remarkably wide range of physical systems which include coupled non-linear oscillators subject to external noise near a Hopf bifurcation instability and spontaneous structure formation in non-equilibrium systems, e.g., in cyclically competing populations or oscillatory chemical reactions. We employ a finite-difference method to numerically solve the noisy complex Ginzburg-Landau equation on a two-dimensional domain with the goal to investigate its non-equilibrium dynamics when the system is quenched into the "defocusing spiral quadrant". We observe slow coarsening dynamics as oppositely charged topological defects annihilate each other, and characterize the ensuing aging scaling behavior. We conclude that the physical aging features in this system are governed by non-universal aging scaling exponents. We also investigate systems with control parameters residing in the "focusing quadrant", and identify slow aging kinetics in that regime as well. We provide heuristic criteria for the existence of slow coarsening dynamics and physical aging behavior in the complex Ginzburg-Landau equation.en
dc.description.notes7 pages, 3 figures, to appear in EPL (Europhys. Lett.)en
dc.identifier.orcidTauber, Uwe [0000-0001-7854-2254]en
dc.identifier.urihttp://hdl.handle.net/10919/96232en
dc.relation.urihttp://arxiv.org/abs/1910.01168v2en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectcond-mat.stat-mechen
dc.subjectnlin.PSen
dc.titleAging phenomena in the two-dimensional complex Ginzburg-Landau equationen
dc.typeArticleen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/Physicsen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen
pubs.organisational-group/Virginia Techen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
1910.01168v2.pdf
Size:
1.12 MB
Format:
Adobe Portable Document Format
Description:
Accepted version
Download

Collections

All Faculty Deposits
Scholarly Works, Center for Soft Matter and Biological Physics
Scholarly Works, Physics