Theoretical modeling demonstrates position distributions for a double-well dynamic system under stochastic resetting, revealing transient and long-term stationary states.
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 → ∞.
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N. Ratanov (2026) studied this question.
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