3 papers
cond-mat.stat-mech2026
Exact Stationary State of a -dimensional Run-and-Tumble Particle in a Harmonic Potential
Mathis Guéneau, Satya N. Majumdar, Grégory Schehr
We derive the exact nonequilibrium steady state of a run-and-tumble particle (RTP) in dimensions confined in an isotropic harmonic trap , with $r=\|\mat…
cond-mat.stat-mech2026
Spatiotemporal Characterization of Active Brownian Dynamics in Channels
Yanis Baouche, Mathis Guéneau, Christina Kurzthaler
Accumulation at boundaries represents a widely observed phenomenon in active systems with implications for microbial ecology and engineering applications. To rationalize the underl…
cond-mat.stat-mech2025
Non-Equilibrium Dynamics and First-Passage Properties of Stochastic Processes: From Brownian Motion to Active Particles
Mathis Guéneau
In this thesis, we develop analytical methods to study out-of-equilibrium stochastic processes driven by colored noise, i.e., noise with temporal correlations. These non-Markovian…