Stochastic state-transition-change process and time resolved velocity spectrometry

TL;DR

This paper introduces a stochastic state-transition-change process to derive formulas for time-resolved velocity spectrometry, enabling a unified description of particle motion in force fields with randomness, thus broadening stochastic process applications in physics.

Contribution

It presents a novel application of the STC process for deriving velocity spectrometry formulas, expanding the scope of stochastic process models in particle physics.

Findings

Derived formulas for velocity spectrometry using STC process

Unified description of particle motion in force fields with randomness

Extended applications of stochastic process theory in physics

Abstract

Motion of particles (bodies) in presence of random effects can be considered stochastic process. However, application of widely known stochastic processes used for description of particle motion is reduced to relatively small class of particle transport phenomena. Stochastic state-transition-change (STC) process is suitable for description of many systems. In this paper it is shown under which assumptions formulae of time resolved velocity spectrometry can be derived with the help of STC process. It opens up new possibilities of unified description of particles moving in a force field in presence of random effects. It extends possibilities of applications of theory of stochastic processes in physics.