Nonlinear diffusion limit for a system with nearest neighbor interactions
作者： M. Z. Guo , G. C. Papanicolaou , S. R. S. Varadhan
DOI: 10.1007/BF01218476
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摘要: 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 …
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S. R. S. Varadhan, Asymptotic probabilities and differential equations Communications on Pure and Applied Mathematics. ,vol. 19, pp. 261- 286 ,(1966) , 10.1002/CPA.3160190303
C. Kipnis, S. R. S. Varadhan, Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions Communications in Mathematical Physics. ,vol. 104, pp. 1- 19 ,(1986) , 10.1007/BF01210789
R. L. Of Dobrushin Moscow, Ra. Siegmund-Schultze, The Hydrodynamic Limit for Systems of Particles with Independent Evolution Mathematische Nachrichten. ,vol. 105, pp. 199- 224 ,(1982) , 10.1002/MANA.19821050110
Herbert Spohn, Equilibrium fluctuations for interacting Brownian particles Communications in Mathematical Physics. ,vol. 103, pp. 1- 33 ,(1986) , 10.1007/BF01464280
A. de Masi, A. Pellegrinotti, E. Presutti, N. Ianiro, A survey of the hydrodynamical behavior of many-particle systems STIA. ,vol. 85, pp. 123- 294 ,(1984)