Dynamic System with Double-well Potential and Stochastic Resetting
N. Ratanov
2026, v.32, Issue 2, 249-259
ABSTRACT
In this paper, we study a piecewise-deterministic stochastic process governed by a double-well potential. The dynamics are randomised through resets to a random point, occurring after independent and exponentially distributed time intervals. Distributions of the particle’s position are presented for a fixed time, as well as in the limit as t → ∞.
doi:10.61102/1024-2953-mprf.2026.32.2.004
Keywords: Double-well potential, telegraph process, resetting
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