en
31-59
We consider a system of interacting diffusions. The variables are to be thought of as charges at sites indexed by a periodic one-dimensional lattice. The diffusion preserves the total charge and the interaction is of nearest neighbor type. With the appropriate scaling of lattice spacing and time, a nonlinear diffusion equation is derived for the time evolution of the macroscopic charge density.
articles
1988-03
false
https://scigraph.springernature.com/explorer/license/
1988-03-01
http://link.springer.com/10.1007/BF01218476
research_article
2019-04-11T13:30
Nonlinear diffusion limit for a system with nearest neighbor interactions
pub.1016614190
dimensions_id
Springer Nature - SN SciGraph project
G. C.
Papanicolaou
Varadhan
S. R. S.
Peking University
Department of Mathematics, Beijing University, Beijing, People's Republic of China
1432-0916
Communications in Mathematical Physics
0010-3616
M. Z.
Guo
1
118
doi
10.1007/bf01218476
Pure Mathematics
Courant Institute of Mathematical Sciences
Courant Institute, New York University, 251 Mercer Street, 10012, New York, NY, USA
Mathematical Sciences
4f29696653dd89b8ecacab852024a910093cf2e1c9f799006f6ad8708f870439
readcube_id