Diffusive hydrodynamic limits for systems of interacting diffusions with finite range random interaction

Communications in Mathematical Physics

Volumn 188, Issue 3, 1997, Pages 565-584

  Carmona, René A ^a   Xu, Lin ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031256643     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050179     Document Type: Article

References (17)

1. Chang, C.C. and Yau, H.T. (1992): Fluctuation of one dimensional Ginzburg-Landau models in nonequilibrium. Commun. Math. Phys. 145, 209-234
2. Comets, F. (1989): Large deviation estimates for a conditional probability distribution-application to random interaction Gibbs measures. Prob. Th. Rel. Fields 80, 407-432
3. Donsker, M.D. and Varadhan, S.R.S (1989): Large deviations from a hydrodynamic scaling limit. Comm. Pure Appl. Math. 42, 243-270
4. Fritz. J. (1989): On the hydrodynamic limit of a Ginzburg-Landau lattice model. The law of large numbers in arbitrary dimensions. Probab. Theory Rel. Fields 81, 291-318
5. Fritz, J. (1990): On the diffusive nature of entropy flow in infinite systems: Remarks to a paper by Guo-Papanicolau-Varadhan. Commun. Math. Phys. 133, 331-352
6. Funaki, H. (1991): The Hydrodynamic Limit for a System with Interactions Prescribed by Ginzburg-Landau Type Random Hamiltonian. Prob. Th. Rel. Fields 90, 519-562
7. Guo, M.Z., Papanicolaou, G.C. and Varadhan, S.R.S. (1988): Nonlinear diffusion limit for a system with nearest neighbor interactions. Commun. Math. Phys. 118, 31-59
8. Kipnis, C., Olla, S. and Varadhan, S.R.S (1989): Hydrodynamics and large deviations for a simple exclusion process. Commun. Pure Appl. Math. 42, 115-137
9. Krug. J. and Spohn, H. (1991): Kinetic Roughening of Growing Surfaces. In: Solids Far From Equilibrium: Growth, Morphology, and Defects ed. by C.Godreche. Cambridge: Cambridge Univ. Press
10. Quastel, J. (1992): Diffusion of Color in the Simple Exclusion Process. Commun. Pure Appl. Math. 45, n.6
11. Rezakhanlou, F. (1990): Hydrodynamic limit for a system with finite range interactions. Commun. Math. Phys. 129, 445-480
12. Spohn, H. (1991): Large Scale Dynamics of Interacting Particles. New York, N. Y.: Springer Verlag
13. Varadhan, S.R.S. (1984): Large Deviations and Applications. CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 46, SIAM
14. Varadhan, S.R.S. (1990): Nonlinear Diffusion Limit for Systems with Near Neighbor Interactions. Proc. Taniguchi Symp., Kyoto
15. Varadhan, S.R.S. and Yau, H.T. (1996): Diffusive Scaling Limits and its Large Deviations for Lattice Gas Models with Finite Range Interaction: High Temperature Case. In preparation
16. Xu. L. (1993): Diffusive Scaling Limits for Mean Zero Asymmetric Simple Exclusion Processes. Ph.D Thesis, New York University
17. Yau. H.T. (1991): Relative Entropy and The Hydrodynamics of Ginzburg-Landau Models. Lett. Math. Phys. 22, 63-80