Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Condensed Matter > Statistical Mechanics

arXiv:1512.07787 (cond-mat)
[Submitted on 24 Dec 2015]

Title:Approximate solution for Fokker-Planck equation

Authors:M.T. Araujo, E. Drigo Filho
View PDF
Abstract:In this paper, an approximate solution to a specific class of the Fokker-Planck 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 Fokker-Planck equation is suggested. Two examples, a truncated harmonic potential and non-harmonic polynomial, are analyzed using the proposed method. For the truncated harmonic potential, the system behavior as a function of temperature is also discussed.
Comments: 12 pages, 8 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech)
Cite as: arXiv:1512.07787 [cond-mat.stat-mech]
  (or arXiv:1512.07787v1 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.1512.07787
Journal reference: Condens. Matter Phys., 2015, vol. 18, No. 4, 43003
Related DOI: https://doi.org/10.5488/CMP.18.43003

Submission history

From: M.T. Araujo [view email] [via Bohdan Markiv as proxy]
[v1] Thu, 24 Dec 2015 11:11:35 UTC (350 KB)
Full-text links:

Access Paper:

view license
Current browse context:
cond-mat.stat-mech
< prev   |   next >
new | recent | 2015-12
Change to browse by:
cond-mat

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)