Condensed Matter Physics, 2015, vol. 18, No. 4, 43003
DOI:10.5488/CMP.18.43003
arXiv:1512.07787
Title:
Approximate solution for FokkerPlanck equation
Author(s):

M.T. Araujo
(Instituto de Biociências, Letras e Ciências Exatas, UNESP  Univesidade Estadual Paulista, 2265 Cristóvêo Colombo St., 15054000, Sêo José
do Rio Preto/SP, Brazil; Institut für Physik, Universität Augsburg , Universitätsstr. 1, D86135, Augsburg, Germany )
,


E. Drigo Filho
(Instituto de Biociências, Letras e Ciências Exatas, UNESP  Univesidade Estadual Paulista, 2265 Cristóvêo Colombo St., 15054000, Sêo José
do Rio Preto/SP, Brazil; Departamento de Física Teórica, Atómica y Óptica, and IMUVA (Instituto de Matemáticas),
Universidad de Valladolid, 47011 Valladolid, Spain)

In this paper, an approximate solution to a specific class of the FokkerPlanck equation is proposed. The solution is based on the relationship between the Schrödinger type equation with a partially confining and symmetrical potential. To estimate the accuracy of the solution, a function error obtained from the original FokkerPlanck equation is suggested. Two examples, a truncated harmonic potential and nonharmonic polynomial, are analyzed using the proposed method. For the truncated harmonic potential, the system behavior as a function of temperature is also discussed.
Key words:
FokkerPlanck equation, Schrödinger equation, approximate solution
PACS:
05.10.Gg, 02.30.Mv
