|
|
|
|
a matrix form solution of the multi-dimensional generalized langevin equation in the quadratic potential
|
|
|
|
|
|
|
|
نویسنده
|
mushtaq rana imran ,wang chunyang ,zhi shichao ,zhao zengxuan ,malamula jeolous nyasulu
|
|
منبع
|
پژوهش فيزيك ايران - 2024 - دوره : 24 - شماره : 3 - صفحه:95 -97
|
|
چکیده
|
In this research paper, we present an exact matrix form analytical solution of the multi-dimensional generalized langevin equation with quadratic potentials. our investigation provides detailed expressions for the two-dimensional probability distribution and extends the understanding of the dynamics governed by harmonic potentials. by utilizing the inverse laplace transformation, we offer a precise method to solve these equations, corroborated by specific examples. this study contributes to the fundamental understanding of stochastic processes in multi-dimensional systems with harmonic potentials and clarifies the limitations of our approach. while the findings are specific to quadratic potentials, they provide a robust framework for exploring related phenomena within this context.
|
|
کلیدواژه
|
generalized langevin equation (gle) ,multi-dimensional dynamics ,analytical solution ,laplace transformation ,stochastic processes
|
|
آدرس
|
ludong university, institute of theoretical physics, school of physics and optoelectric engineering, china, ludong university, institute of theoretical physics, school of physics and optoelectric engineering, china. chinese academy of science, yantai institute of coastal zone research, china, ludong university, institute of theoretical physics, school of physics and optoelectric engineering, china, ludong university, institute of theoretical physics, school of physics and optoelectric engineering, china, ludong university, institute of theoretical physics, school of physics and optoelectric engineering, china
|
|
پست الکترونیکی
|
rana2025@163.com
|
|
|
|
|
|
|
|
|
|
|
|
|
|
a matrix form solution of the multi-dimensional generalized langevin equation in the quadratic potential
|
|
|
|
|
Authors
|
|
|
Abstract
|
in this research paper, we present an exact matrix form analytical solution of the multi-dimensional generalized langevin equation with quadratic potentials. our investigation provides detailed expressions for the two-dimensional probability distribution and extends the understanding of the dynamics governed by harmonic potentials. by utilizing the inverse laplace transformation, we offer a precise method to solve these equations, corroborated by specific examples. this study contributes to the fundamental understanding of stochastic processes in multi-dimensional systems with harmonic potentials and clarifies the limitations of our approach. while the findings are specific to quadratic potentials, they provide a robust framework for exploring related phenomena within this context.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|