糖心TV Complexity Science Events
Complexity Centre and MathSys CDT events carry priority over room D1.07.
To book D1.07 please email Sheetal dot Sharma at warwick dot ac dot uk
Please note that your event booking is for D1.07 only. The adjacent common room is a private area for the MathSys Centre that cannot used as part of your booking.
Complexity Forum: Gunnar Pruessner (Imperial)
Speaker: Gunnar Pruessner (Department of Mathematics, Imperial College London)
Title: The mean field theory of the contact process revisited
Abstract:
For the last forty years, the directed percolation universality class has probably played the most prominent role in far from equilibrium phase transitions. Phenomena belonging to this universality class, such as the contact process, are best cast into a Langevin equation containing a rather peculiar noise term, whose variance is linear in the local field, which makes it difficult to analyse. The mean field theory of the contact process normally ignores this noise term. In this talk, I will give an overview of ongoing work to solve exactly the Langevin equation of the random neighbour (or infinite range) contact process in a finite system. The aim is to reproduce known results without refering to the field theory and calculate universal amplitude ratios in closed form. While interesting in its own right, the methods applied might shed new light on absorbing state phase transitions in general, such as the role of conditional expectation values and finite size scaling, and elucidate the meaning of the noise correlator and how it might be possible to tackle this type of problem from a different angle.
Lunch: group 3