Hydrodynamic limit for asymmetric mean zero exclusion processes with speed change

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1. [1] T. Funaki, K. Handa and K. Uchiyama, Hydrodynamic limit of one-dimensional exclusion processes with speed change, Ann. Probab., 19, 1991, pp. 245-265. Zbl0725.60114MR1085335
2. [2] T. Funaki, K. Uchiyama and H.T. YauHydrodynamic limit for lattice gas reversible under Bernoulli measures, in: Nonlinear Stochastic PDE's: Hydrodynamic Limit and Burgers' Turbulence (eds. Funaki and Woyczynski), IMA volume 77, 1995, pp. 1-40. Zbl0840.60091
3. [3] M.Z. Guo, G.C. Papanicolaou and S.R.S. Varadhan, Nonlinear diffusion limit for a system with nearest neighbor interactions, Commun. Math. Phys., 118, 1988, pp. 31-59. Zbl0652.60107MR954674
4. [4] K. Komoriya, An asymmetric exclusion process related to vortex flow in viscous planar fluid, in: Probability Theory and Mathematical Statistics (eds. Watanabe, Fukushima, Prohorov and Shiryaev), World Scientific, 1996, pp. 220-228. Zbl0964.60098MR1467942
5. [5] C. Kipnis, C. Landim and S. OllaHydrodynamical limit for a nongradient system: the generalized symmetric exclusion process, Commun. Pure Appl. Math., 47, 1994, pp. 1475-1545. Zbl0814.76003MR1296786
6. [6] C. Landim, S. Olla and H.T. YauSome properties of the diffusion coefficient for asymmetric simple exclusion processes, Ann. Probab., 24, 1996, pp. 1779-1808. Zbl0872.60078MR1415229
7. [7] C. Landim and H.T. YauFluctuation-dissipation equation of asymmetric simple exclusion processes, Prob. Th. Rel. Fields, 108, 1997, pp. 321-356. Zbl0884.60092MR1465163
8. [8] H. Osada and T. Saitoh, An invariance principle for non-symmetric Markov processes and reflecting diffusions in random domains, Prob. Th. Rel. Fields, 101, 1995, pp. 45-63. Zbl0816.60079MR1314174
9. [9] H. SpohnLarge Scale Dynamics of Interacting Particles, Springer, 1991. Zbl0742.76002
10. [10] S.R.S. Varadhan, Nonlinear diffusion limit for a system with nearest neighbor interactions - II, in: Asymptotic Problems in Probability Theory: Stochastic Models and Diffusions on Fractals (eds. Elworthy and Ikeda), Longman, 1993, pp. 75-128. Zbl0793.60105MR1354152
11. [11] S.R.S. Varadhan, Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion, Ann. Inst. Henri Poincaré, 31, 1995, pp. 273-285. Zbl0816.60093MR1340041
12. [12] L. Xu, Diffusive scaling limit for mean zero asymmetric simple exclusion processes, Courant thesis, 1993. 
13. [13] H.T. Yau, Relative entropy and hydrodynamics of Ginzburg-Landau models, Letters Math. Phys., 22, 1991, pp. 63-80. Zbl0725.60120MR1121850

1. M. Sued, Regularity properties of the diffusion coefficient for a mean zero exclusion process