Stochastic field equations for 1D flocking.

Condensed Matter lunchtime seminar

Stochastic field equations for 1D flocking.

  • Event time: 1:00pm until 2:00pm
  • Event date: 14th January 2019
  • Speaker: (School of Physics & Astronomy, University of Edinburgh)
  • Location: Higgs Centre Seminar Room, Room 4305,

Event details

Non-equilibrium systems of interacting particles have been shown to exhibit interesting collective motion behaviour. In two dimensions, the Vicsek model seemingly contradicts the Mermin-Wagner theorem of continuous (rotational) symmetry breaking. This model describes particles interacting with the aim of obtaining a shared orientation. However, different phase behaviours are observed in one dimensional (1d) systems, due in part to the change from a continuous to a discrete rotational symmetry. We investigate a 1d agent-based system exhibiting flocking behaviours and derive the corresponding field equations with the aim of describing the macroscopic behaviour of this system. We find quantitative agreement between the agent-based model and the field equations, and propose a minimal model for the interactions such that flocking is observed in 1d.

About Condensed Matter lunchtime seminars

This is a weekly series of informal talks given primarily by members of the soft condensed matter and statistical mechanics groups, but is also open to members of other groups and external visitors. The aim of the series is to promote discussion and learning of various topics at a level suitable to the broad background of the group. Everyone is welcome to attend..

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