Kinetic roughening in active interfaces

Authors :: Martin R. Evans
Francesco Cagnetta
Davide Marenduzzo
Source :: EPJ Web of Conferences, Vol 230, p 00001 (2020)
Publication Year :: 2020
Publisher :: EDP Sciences, 2020.
Abstract: The essential features of many interfaces driven out of equilibrium are described by the same equation---the Kardar-Parisi-Zhang (KPZ) equation. How do living interfaces, such as the cell membrane, fit into this picture? In an endeavour to answer such a question, we proposed in [F. Cagnetta, M. R. Evans, D. Marenduzzo, PRL 120, 258001 (2018)] an idealised model for the membrane of a moving cell. Here we discuss how the addition of simple ingredients inspired by the dynamics of the membrane of moving cells affects common kinetic roughening theories such as the KPZ and Edwards-Wilkinson equations.<br />Comment: 5 pages, 4 figures, FisMat 2019