Nonlinear diffusion limit for a system with nearest neighbor interactions
- Cite this article as:
- Guo, M.Z., Papanicolaou, G.C. & Varadhan, S.R.S. Commun.Math. Phys. (1988) 118: 31. doi:10.1007/BF01218476
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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.