Regensburg 2022 – scientific programme

Parts | Days | Selection | Search | Updates | Downloads | Help

DY: Fachverband Dynamik und Statistische Physik

DY 44: Poster Session: Statistical Physics and Critical Phenomena

DY 44.17: Poster

Thursday, September 8, 2022, 15:00–18:00, P2

Critical Casimir effect in the square-lattice Ising model with quenched surface disorder — •Luca Cervellera and Alfred Hucht — Theoretische Physik, Universität Duisburg-Essen and CENIDE, 47048 Duisburg, Germany

For the square-lattice Ising model, the critical Casimir amplitude and force can be calculated exactly for many geometries and boundary conditions. From a recent exact solution for the cylinder with length L, circumference M, and with arbitrary random boundary conditions at one boundary, we determine the full density of thermodynamic states ω(δ F, m_B), with residual free energy δ F and boundary magnetization m_B at criticality. From this quantity we can derive the disorder averaged Casimir potential for different aspect ratios and disorder ensembles.