{ "id": "2206.14883", "version": "v1", "published": "2022-06-29T19:48:23.000Z", "updated": "2022-06-29T19:48:23.000Z", "title": "Strongly enhanced dynamics of a charged Rouse dimer by an external magnetic field", "authors": [ "Rushikesh Shinde", "Jens Uwe Sommer", "Hartmut Löwen", "Abhinav Sharma" ], "categories": [ "cond-mat.stat-mech", "cond-mat.soft" ], "abstract": "While the dynamics of dimers and polymer chains in a viscous solvent is well understood within the celebrated Rouse model, the effect of an external magnetic field on the dynamics of a charged chain is much less understood. Here we generalize the Rouse model for a charged dimer to include the effect of an external magnetic field. Our analytically solvable model allows a fundamental insight into the magneto-generated dynamics of the dimer in the overdamped limit as induced by the Lorentz-force. Surprisingly, for a dimer of oppositely charged particles, we find an enormous enhancement of the dynamics of the dimer center which exhibits even a transient superballistic behavior. This is highly unusual in an overdamped system for there is neither inertia nor any internal or external driving. We attribute this to a significant translation and rotation coupling due to the Lorentz force. We also find that magnetic field reduces the mobility of a dimer along its orientation and its effective rotational diffusion coefficient. In principle, our predictions can be tested by experiments with colloidal particles and complex plasmas.", "revisions": [ { "version": "v1", "updated": "2022-06-29T19:48:23.000Z" } ], "analyses": { "keywords": [ "external magnetic field", "charged rouse dimer", "strongly enhanced dynamics", "transient superballistic behavior", "magnetic field reduces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }