Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  studies a particular random tour continuous random walk: A particle moves in two dimensions at constant speed by choosing successive travel directions that are independent and uniformly distributed beten 0 and 2π, with the lengths of the steps beten direction changes being independent, exponentially distributed, random variables. An analytic expression for the probability density of the particle's position after a time t is derived, and an application is made to a military situation where the "particle" is a target trying to escape being destroyed by an unseen enemy. The bulk of the paper is devoted to deriving the density function.
['Alan R. Washburn']
I am writing a research paper on a idea Probability Density of a Moving Particle
[{"from": "human", "value": "I am writing a research paper on a idea Probability Density of a Moving Particle"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  studies a particular random tour continuous random walk: A particle moves in two dimensions at constant speed by choosing successive travel directions that are independent and uniformly distributed beten 0 and 2\u03c0, with the lengths of the steps beten direction changes being independent, exponentially distributed, random variables. An analytic expression for the probability density of the particle's position after a time t is derived, and an application is made to a military situation where the \"particle\" is a target trying to escape being destroyed by an unseen enemy. The bulk of the paper is devoted to deriving the density function."}]