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DY: Fachverband Dynamik und Statistische Physik

DY 22: Poster: Statistical Physics

DY 22.28: Poster

Mittwoch, 19. März 2025, 10:00–12:00, P3

The random-field Ising model and two-phase flow in disordered media — •Peter Henning and Martin Weigel — Institut für Physik, Technische Universität Chemnitz, 09107 Chemnitz, Germany

Two-phase flow in disordered media exhibits a rich phenomenology of behaviors with manifold applications for example in oil extraction [1]. A simplified model for such flows might be provided by the zero-temperature dynamics of the random-field Ising model (RFIM) that exhibits interfaces between the pure phases that propagate through avalanches and show a roughening transition as a function of disorder strength. In the present study we focus on several properties of the interface between the phases such as its fractal geometry which can be characterized by critical exponents [2]. Furthermore we investigate abrupt changes in the propagation of the interface also known as crackling noise. By applying the RFIM to this problem we hope to gain insights into the underlying mechanisms of two-phase flow in disordered media and to provide a framework for interpreting experimental observations.
[1] R. Holtzman, M. Dentz, R. Planet and J. Ortin, Commun Phys. 3, 222 (2020).
[2] B. Drossel and K. Dahmen, Eur. Phys. J. B 3, 485 (1998)

Keywords: random-field Ising model; two-phase flow; finite-size scaling; fractal geometry