Berlin 2015 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 27: Statistical Physics far from Thermal Equilibrium - Part I

DY 27.7: Talk

Wednesday, March 18, 2015, 11:30–11:45, BH-N 334

Condensation in asymmetric inclusion processes — •Markus F. Weber, Johannes Knebel, Torben Krüger, and Erwin Frey — Ludwig-Maximilians-Universität München

Condensation occurs when the entities of a system collectively concentrate in one or multiple states. In our work, we study such a phenomenon for jump processes on networks. In these processes, many particles may occupy a node and jump rates depend linearly on the occupation of departure and arrival nodes. These kinds of processes are thus referred to as inclusion processes - an example being the totally antisymmetric inclusion process (TASIP) - and reflect bosonic analogues of fermionic exclusion processes (e.g., the TASEP). Not only do inclusion processes describe the interaction of strategies in zero-sum games but they also govern chemical kinetics in autocatalytic reaction networks. Furthermore, they were recently used to show that driven-dissipative bosonic systems may condense into multiple quantum states. We derived an algebraic method to determine which of the nodes in an inclusion process become condensates. We show that the vanishing of relative entropy production guides these systems into non-equilibrium steady states in which detailed balance is broken. For inclusion processes on large random networks, we find that the interplay between critical properties of networks and dynamically stable network motifs determines the selection of condensates. Our methods allow for the design of network topologies and jump rates that result in condensates with oscillating occupation.