The first-passage-time distribution of an underdamped harmonic oscillator is obtained analytically for short, intermediate and long times across quality factors and matches Langevin simulations.
Redner,A Guide to First-Passage Processes(Cam- bridge University Press, 2001)
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Closed-form first-passage-time distribution for an underdamped harmonic oscillator (short-time Hamiltonian + long-time Kramers) agrees with micro-cantilever data and yields the power of an information engine.
A general framework derives mean first passage times and moments for fixed-speed velocity jump processes in higher dimensions, yielding a universal MFPT form via two bias functions at low Knudsen numbers and anomalous scaling for narrow targets.
Exact MFPT formula for stochastic resetting diffusion on d-dimensional lattices, showing minimum at finite r for most starts and monotonic decrease for nearest neighbors.
A Feller diffusion in a finite interval with state-dependent diffusivity exhibits asymmetric escape, with inhomogeneous noise biasing trajectories toward the high-diffusivity outbreak boundary even from symmetric initial conditions.
Magnetic field on 3D active Brownian particles produces long-time drift plus enhanced diffusion, non-Gaussian statistics at intermediate times, and field-sensitive first-passage behavior.
citing papers explorer
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First passage time distribution in underdamped harmonic oscillators
The first-passage-time distribution of an underdamped harmonic oscillator is obtained analytically for short, intermediate and long times across quality factors and matches Langevin simulations.
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First passage time for an underdamped harmonic oscillator and application to the power of an information engine
Closed-form first-passage-time distribution for an underdamped harmonic oscillator (short-time Hamiltonian + long-time Kramers) agrees with micro-cantilever data and yields the power of an information engine.
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Mean first passage times of higher-dimensional velocity jump processes
A general framework derives mean first passage times and moments for fixed-speed velocity jump processes in higher dimensions, yielding a universal MFPT form via two bias functions at low Knudsen numbers and anomalous scaling for narrow targets.
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Diffusion with stochastic resetting on a lattice
Exact MFPT formula for stochastic resetting diffusion on d-dimensional lattices, showing minimum at finite r for most starts and monotonic decrease for nearest neighbors.
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Feller diffusion in an interval: Inhomogeneous fluctuation-induced asymmetric escape
A Feller diffusion in a finite interval with state-dependent diffusivity exhibits asymmetric escape, with inhomogeneous noise biasing trajectories toward the high-diffusivity outbreak boundary even from symmetric initial conditions.
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Drift-diffusion interplay in active Brownian particles under orienting field
Magnetic field on 3D active Brownian particles produces long-time drift plus enhanced diffusion, non-Gaussian statistics at intermediate times, and field-sensitive first-passage behavior.