402 citations · 8.7k across the 191 of their papers we have counts for
19 papers · 1 filter
On the geometric algebras of the Ising model
N. Johnson, D. Marenduzzo, A. Morozov +2
We revisit the classical transfer matrix solution of the one- and two-dimensional Ising model from the perspective of Clifford and conformal geometric algebras. Building on Kaufman…
Universal properties of active membranes
Francesco Cagnetta, Viktor Skultety, Martin R. Evans +1
We put forward a general field theory for membranes with embedded activators and analyse their critical properties using renormalization group techniques. Depending on the membrane…
A renormalization group study of the dynamics of active membranes: universality classes and scaling laws
Francesco Cagnetta, Viktor Skultety, Martin R. Evans +1
Motivated by experimental observations of patterning at the leading edge of motile eukaryotic cells, we introduce a general model for the dynamics of nearly-flat fluid membranes dr…
Kinetic roughening in active interfaces
Francesco Cagnetta, Martin R. Evans, Davide Marenduzzo
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 t…
Statistical mechanics of a single active slider on a fluctuating interface
Francesco Cagnetta, Martin R. Evans, Davide Marenduzzo
We study the statistical mechanics of a single active slider on a fluctuating interface, by means of numerical simulations and theoretical arguments. The slider, which moves by def…
Pattern formation in self-propelled particles with density-dependent motility
F. D. C. Farrell, J. Tailleur, D. Marenduzzo +1
We study the behaviour of interacting self-propelled particles, whose self-propulsion speed decreases with their local density. By combining direct simulations of the microscopic m…