57 citations · 124 across the 8 of their papers we have counts for
5 papers · 1 filter
The stabilizing role of multiplicative noise in non-confining potentials
Ewan T. Phillips, Benjamin Lindner, Holger Kantz
We provide a simple framework for the study of parametric (multiplicative) noise, making use of scale parameters. We show that for a large class of stochastic differential equation…
The noise intensity of a Markov chain
Lukas Ramlow, Benjamin Lindner
Stochastic transitions between discrete microscopic states play an important role in many physical and biological systems. Often, these transitions lead to fluctuations on a macros…
Scattering theory of Non-Brownian active particles with social distancing
Thomas Ihle, Rüdiger Kürsten, Benjamin Lindner
We consider deterministic self-propelled particles with anti-alignment interactions. An asymptotically exact kinetic theory for particle scattering at low densities is constructed…
Noise-controlled bistability in an excitable system with positive feedback
Justus A. Kromer, Reynaldo D. Pinto, Benjamin Lindner +1
We study the interplay between noise and a positive feedback mechanism in an excitable system that generates events. We show that such a system can exhibit a bistability in the dyn…
Escape rate of an active Brownian particle over a potential barrier
P. S. Burada, B. Lindner
We study the dynamics of an active Brownian particle with a nonlinear friction function located in a spatial cubic potential. For strong but finite damping, the escape rate of the…