Killing versus branching: Unexplored facets of diffusive relaxation
arXiv:2403.07164 · doi:10.1103/PhysRevE.110.014127
Abstract
We analyze the relaxation dynamics of Feynman-Kac path integral kernel functions in terms of branching diffusion processes with killing. This sheds new light on the admissible path-wise description of the relaxation to equilibrium for conditioned Brownian motions, and diffusion processes with absorbing boundaries, where Feynman-Kac kernels appear as the building blocks of inferred transition probability density functions.
arXiv comment16 pp, 8 figures
References in corpus (8)
- Feynman-Kac Kernels in Markovian Representations of the Schroedinger Interpolating Dynamics
- Nonequilibrium diffusion processes via non-Hermitian electromagnetic quantum mechanics with application to the statistics of entropy production in the Brownian gyrator
- Killing (absorption) versus survival in random motion
- Sweetest taboo processes
- Conditioned diffusion processes with an absorbing boundary condition for finite or infinite horizon
- Brownian motion in trapping enclosures: Steep potential wells, bistable wells and false bistability of induced Feynman-Kac (well) potentials
- Discrete Feynman-Kac formulas for branching random walks
- (Nonequilibrium) dynamics of diffusion processes with non-conservative drifts