Geometric ergodicity of two-dimensional hamiltonian systems with a Lennard-Jones-like repulsive potential
Publication
, Journal Article
Cooke, B; Herzog, DP; Mattingly, JC; Mckinle, SA; Schmidler, SC
Published in: Communications in Mathematical Sciences
January 1, 2017
We establish ergodicity of the Langevin dynamics for a simple two-particle system involving a Lennard-Jones type potential. Moreover, we show that the dynamics is geometrically ergodic; that is, the system converges to stationarity exponentially fast. Methods from stochastic averaging are used to establish the existence of the appropriate Lyapunov function.
Duke Scholars
Published In
Communications in Mathematical Sciences
DOI
EISSN
1945-0796
ISSN
1539-6746
Publication Date
January 1, 2017
Volume
15
Issue
7
Start / End Page
1987 / 2025
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Cooke, B., Herzog, D. P., Mattingly, J. C., Mckinle, S. A., & Schmidler, S. C. (2017). Geometric ergodicity of two-dimensional hamiltonian systems with a Lennard-Jones-like repulsive potential. Communications in Mathematical Sciences, 15(7), 1987–2025. https://doi.org/10.4310/CMS.2017.v15.n7.a10
Cooke, B., D. P. Herzog, J. C. Mattingly, S. A. Mckinle, and S. C. Schmidler. “Geometric ergodicity of two-dimensional hamiltonian systems with a Lennard-Jones-like repulsive potential.” Communications in Mathematical Sciences 15, no. 7 (January 1, 2017): 1987–2025. https://doi.org/10.4310/CMS.2017.v15.n7.a10.
Cooke B, Herzog DP, Mattingly JC, Mckinle SA, Schmidler SC. Geometric ergodicity of two-dimensional hamiltonian systems with a Lennard-Jones-like repulsive potential. Communications in Mathematical Sciences. 2017 Jan 1;15(7):1987–2025.
Cooke, B., et al. “Geometric ergodicity of two-dimensional hamiltonian systems with a Lennard-Jones-like repulsive potential.” Communications in Mathematical Sciences, vol. 15, no. 7, Jan. 2017, pp. 1987–2025. Scopus, doi:10.4310/CMS.2017.v15.n7.a10.
Cooke B, Herzog DP, Mattingly JC, Mckinle SA, Schmidler SC. Geometric ergodicity of two-dimensional hamiltonian systems with a Lennard-Jones-like repulsive potential. Communications in Mathematical Sciences. 2017 Jan 1;15(7):1987–2025.
Published In
Communications in Mathematical Sciences
DOI
EISSN
1945-0796
ISSN
1539-6746
Publication Date
January 1, 2017
Volume
15
Issue
7
Start / End Page
1987 / 2025
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0102 Applied Mathematics
- 0101 Pure Mathematics