English

Non-exponential decay in classical stochastic processes with memory

High Energy Physics - Phenomenology 2023-03-15 v3 Probability

Abstract

The initial time-dependence of a state in circumstances where it makes transitions to, or decay to, a second state has been investigated. In classical stochastic processes, the observed time dependence of transition or decay proportional to t2t^2 is attributed to the noise with memory. In contrast to quantum mechanics, the quadratic form of initial decay is unable to decelerate the evolution of the system.

Keywords

Cite

@article{arxiv.2205.13889,
  title  = {Non-exponential decay in classical stochastic processes with memory},
  author = {Maciej Rybczyński and Zbigniew Włodarczyk},
  journal= {arXiv preprint arXiv:2205.13889},
  year   = {2023}
}
R2 v1 2026-06-24T11:30:46.006Z