5 papers
Semi-Markovian switching in a fluctuating harmonic trap: An age-structured formulation
Derek Frydel
We study a Brownian particle in a harmonic trap whose stiffness switches between two values with arbitrary waiting-time statistics, generating semi-Markovian dynamics. To treat the…
Forward-backward correspondence between stationary structure and splitting probabilities in active matter
Derek Frydel
Active particles confined by hard walls accumulate at boundaries and may become dynamically adsorbed due to directional persistence. In this work, we show that the same persistence…
Search by Return: Stochastic Resetting in Fluctuating Harmonic Potentials
Derek Frydel
We study a class of stochastic resetting (SR) processes in which a diffusing particle alternates between free motion and confinement by an externally controlled potential. When the…
Integral equation formulation of run-and-tumble particles in a harmonic trap: the special status of a system in two-dimensions
Derek Frydel
Statistical-mechanical models often exhibit a dimension-dependent solvability: in 1D, exact solutions are straightforward; in 2D, solutions are exact but require nontrivial derivat…
Run-and-tumble particles in slit geometry as a splitting probability problem
Derek Frydel
Run-and-tumble particles confined between two walls seem like a simple enough problem to possess analytical tractability. Yet up to date, no satisfactory analysis is available for…