Regensburg 2019 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

DY: Fachverband Dynamik und Statistische Physik

DY 32: Complex Fluids and Soft Matter (joint session DY/CPP)

DY 32.11: Vortrag

Mittwoch, 3. April 2019, 18:00–18:15, H3

Classical density functional theory for ferrogels with distinguishable particles — •Segun Goh, Andreas M. Menzel, and Hartmut Löwen — Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany

Classical density functional theory has been widely studied for liquid-like states of materials which consist of indistinguishable particles interacting via pairwise potentials. Meanwhile, there are materials, among which ferrogels provide one of the important examples, where the particles are fixed in an elastic polymer matrix. As particle neighbors do not change over time due to the fixation, particles are distinguishable by positions in those systems. In this talk, we discuss a density functional approach for such systems with distinguishable particles, considering a two-dimensional bead-spring lattice with magnetic dipoles at every bead as a model for ferrogels. We first introduce a mapping of the harmonic springs representing the elastic matrix onto a pairwise pseudo-interaction between indistinguishable particles. The mapping is justified by Monte-Carlo simulations of both the bead-spring model and the frozen states of corresponding pseudo-interaction systems in combination with the density functional theory. We then formulate density functional theory for the dipole-spring model and investigate magnetostriction and compression moduli of ferrogels under magnetic interactions. We expect that our density functional approach may provide a route towards an understanding of a broad range of materials with particle inclusions.