Anomalous dimension in a two-species reaction-diffusion system

B Vollmayr-Lee, J Hanson, RS McIsaac… - arXiv preprint arXiv …, 2017 - arxiv.org
We study a two-species reaction-diffusion system with the reactions $ A+ A\to (0, A) $ and $
A+ B\to A $, with general diffusion constants $ D_A $ and $ D_B $. Previous studies showed …

Long polymers near wedges and cones

Y Hammer, Y Kantor - Physical Review E, 2015 - APS
We perform a Monte Carlo study of N-step self-avoiding walks, attached to the corner of an
impenetrable wedge in two dimensions (d= 2), or the tip of an impenetrable cone in d= 3, of …

Quantum particle in a spherical well confined by a cone

RH Levi, Y Kantor - Journal of Physics Communications, 2022 - iopscience.iop.org
We consider the quantum problem of a particle in either a spherical box or a finite spherical
well confined by a circular cone with an apex angle 2θ 0 emanating from the center of the …

Attractive and repulsive polymer-mediated forces between scale-free surfaces

Y Kantor, M Kardar - Physical Review E, 2017 - APS
We consider forces acting on objects immersed in, or attached to, long fluctuating polymers.
The confinement of the polymer by the obstacles results in polymer-mediated forces that can …

Pinning and unbinding of ideal polymers from a wedge corner

RH Levi, Y Kantor, M Kardar - Physical Review E, 2017 - APS
A polymer repelled by unfavorable interactions with a uniform flat surface may still be pinned
to attractive edges and corners. This is demonstrated by considering adsorption of a two …

Localization of random walks to competing manifolds of distinct dimensions

RH Levi, Y Kantor, M Kardar - Physical Review E, 2018 - APS
We consider localization of a random walk (RW) when attracted or repelled by multiple
extended manifolds of different dimensionalities. In particular, we consider a RW near a …

Nonequilibrium interactions between ideal polymers and a repulsive surface

R Halifa Levi, Y Kantor - Physical Review E, 2017 - APS
We use Newtonian and overdamped Langevin dynamics to study long flexible polymers
dragged by an external force at a constant velocity v. The work W performed by that force …