BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Non-reciprocal pattern formation of conserved fields - Fridtjof Br
 auns (Kavli Institute for Theoretical Physics\, UCSB)
DTSTART:20240521T120000Z
DTEND:20240521T130000Z
UID:TALK215332@talks.cam.ac.uk
CONTACT:Sarah Loos
DESCRIPTION:In recent years\, non-reciprocally coupled systems have receiv
 ed growing attention. Previous work has shown that the interplay of non-re
 ciprocal coupling and Goldstone modes can drive the emergence of temporal 
 order such as traveling waves. We show that these phenomena are genericall
 y found in a broad class of pattern-forming systems\, including mass-conse
 rving reaction–diffusion systems and viscoelastic active gels. All these
  systems share a characteristic dispersion relation that acquires a non-ze
 ro imaginary part at the edge of the band of unstable modes and exhibit a 
 regime of propagating structures (traveling wave bands or droplets). We sh
 ow that models for these systems can be mapped to a common "normal form" t
 hat can be seen as a spatially extended generalization of the FitzHugh–N
 agumo model\, providing a unifying dynamical-systems perspective. We show 
 that the minimal non-reciprocal Cahn–Hilliard (NRCH) equations exhibit a
  surprisingly rich set of behaviors\, including interrupted coarsening of 
 traveling waves without selection of a preferred wavelength and transversa
 l undulations of wave fronts in two dimensions. We show that the emergence
  of traveling waves and their speed are precisely predicted from the local
  dispersion relation at interfaces far away from the homogeneous steady st
 ate. Our work thus generalizes previously studied non-reciprocal phase tra
 nsitions and shows that interfaces are the relevant collective excitations
  governing the rich dynamical patterns of conserved fields.\n\nZoom link: 
 \nhttps://cam-ac-uk.zoom.us/j/89523495848?pwd=TXc1Wm55cVJUYWVuZ3BmQjFVdlUx
 Zz09\n\nMeeting ID: 895 2349 5848\nPasscode: 908714\n\n---
LOCATION:Center for Mathematical Sciences\, Lecture room MR4
END:VEVENT
END:VCALENDAR