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DY: Fachverband Dynamik und Statistische Physik
DY 28: Statistical Physics 5 - organized by Barbara Drossel (Darmstadt), Sabine Klapp (Berlin) and Thomas Speck (Mainz)
DY 28.3: Talk
Tuesday, March 23, 2021, 14:40–15:00, DYb
General solution to the one-dimensional connectivity problem — •Fabian Coupette, Andreas Härtel, and Tanja Schilling — Institut of Physics, University of Freiburg, Germany
We present a general method to obtain the connectivity properties of an arbitrary one-dimensional pairwise interacting n-body system in thermal equilibrium. As input, solely the pair density distribution associated to the equilibrium state is required. Accordingly, if exact analytic results exist for the pair density distribution, the pair connectivity can be determined equally exactly. This is illustrated for fully penetrable and impenetrable rods as well as a repulsive 1/r2 nearest-neighbor interaction potential. We also discuss implications of our work for long-ranged interactions, systems in external fields and higher dimensions.