Getting Asymptotic Results from a Generating Function
Getting Asymptotic Results from a Generating Function
- Event time: 11:30am until 12:30pm
- Event date: 10th May 2017
- Speaker: Anthony Wood (Formerly School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
Event details
In this talk I will present a problem I have encountered in my own research, following on from a previous talk. I am trying to find a Rényi entropy of the Asymmetric Exclusion Process. In this nonequilibrium system, billiard ball-like particles hop along a discrete lattice. Notably, I want to find how this entropy scales with system size, and in different areas of the phase diagram.
We have managed to find “all at once” a particular Rényi entropy for all system sizes, in the form of a generating function. This is a closed form of a power series, with coefficients corresponding to different system sizes. I will show broadly how a generating function is analysed to find the asymptotic scaling of its coefficients – in our case this finds the Rényi entropy for large systems.
About Statistical Physics and Complexity Group meetings
This is a weekly series of webinars on theoretical aspects of Condensed Matter, Biological, and Statistical Physics. It is open to anyone interested in research in these areas..
Find out more about Statistical Physics and Complexity Group meetings.