### Abstract

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.

Original language | English (US) |
---|---|

Pages (from-to) | 31-59 |

Number of pages | 29 |

Journal | Communications in Mathematical Physics |

Volume | 118 |

Issue number | 1 |

DOIs | |

State | Published - Mar 1988 |

### Fingerprint

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

*Communications in Mathematical Physics*,

*118*(1), 31-59. https://doi.org/10.1007/BF01218476

**Nonlinear diffusion limit for a system with nearest neighbor interactions.** / Guo, M. Z.; Papanicolaou, G. C.; Varadhan, Srinivasa.

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 118, no. 1, pp. 31-59. https://doi.org/10.1007/BF01218476

}

TY - JOUR

T1 - Nonlinear diffusion limit for a system with nearest neighbor interactions

AU - Guo, M. Z.

AU - Papanicolaou, G. C.

AU - Varadhan, Srinivasa

PY - 1988/3

Y1 - 1988/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0003078083&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0003078083&partnerID=8YFLogxK

U2 - 10.1007/BF01218476

DO - 10.1007/BF01218476

M3 - Article

AN - SCOPUS:0003078083

VL - 118

SP - 31

EP - 59

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -