Equilibrium fluctuations for lattice gases

O Benois; R Esposito; R Marra

Annales de l'I.H.P. Probabilités et statistiques (2003)

  • Volume: 39, Issue: 5, page 743-777
  • ISSN: 0246-0203

How to cite

top

Benois, O, Esposito, R, and Marra, R. "Equilibrium fluctuations for lattice gases." Annales de l'I.H.P. Probabilités et statistiques 39.5 (2003): 743-777. <http://eudml.org/doc/77779>.

@article{Benois2003,
author = {Benois, O, Esposito, R, Marra, R},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {velocity fields; energy in thermal lattice gases; space-time central limit theorem; incompressible Navier-Stokes equations},
language = {eng},
number = {5},
pages = {743-777},
publisher = {Elsevier},
title = {Equilibrium fluctuations for lattice gases},
url = {http://eudml.org/doc/77779},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Benois, O
AU - Esposito, R
AU - Marra, R
TI - Equilibrium fluctuations for lattice gases
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2003
PB - Elsevier
VL - 39
IS - 5
SP - 743
EP - 777
LA - eng
KW - velocity fields; energy in thermal lattice gases; space-time central limit theorem; incompressible Navier-Stokes equations
UR - http://eudml.org/doc/77779
ER -

References

top
  1. [1] O. Benois, R. Esposito, R. Marra, Navier–Stokes limit for a thermal stochastic lattice gas, J. Stat. Phys.90 (1999) 653-713. Zbl0983.82009
  2. [2] T. Brox, H. Rost, Equilibrium fluctuations of stochastic particle systems: the role of conserved quantities, Ann. Probab.12 (1984) 742-759. Zbl0546.60098MR744231
  3. [3] C.C. Chang, Equilibrium fluctuations of gradient reversible particle systems, Probab. Theory Related Fields100 (1994) 269-283. Zbl0810.60093MR1305583
  4. [4] C.C. Chang, Equilibrium fluctuations of nongradient reversible particle systems, in: Funaki T., Woyczynski W.A. (Eds.), Nonlinear Stochastic PDE's: Burgers Turbulence and Hydrodynamic Limit, IMA, 77, Springer, 1996, pp. 41-51. Zbl0840.60092MR1395891
  5. [5] C.C. Chang, C. Landim, S. Olla, Equilibrium fluctuations of asymmetric simple exclusion processes, Probab. Theory Related Field119 (2001) 381-409. Zbl1006.60096MR1821140
  6. [6] C.C. Chang, H.T. Yau, Fluctuations of one dimensional Ginzburg–Landau models in nonequilibrium, Comm. Math. Phys.145 (1992) 209-234. Zbl0754.76006
  7. [7] S. Ellis, A. Pinsky, The projection of the Navier–Stokes equations upon the Euler equations, J. Math. Pures Appl.54 (1975) 157-182. Zbl0286.35063
  8. [8] R. Esposito, R. Marra, H.T. Yau, Diffusive limit of asymmetric simple exclusion, Rev. Math. Phys.6 (1994) 1233-1267. Zbl0841.60082MR1301374
  9. [9] R. Esposito, R. Marra, H.T. Yau, Navier–Stokes equations for stochastic particle systems on the lattice, Comm. Math. Phys.182 (1996) 395-456. Zbl0868.60079
  10. [10] P.A. Ferrari, L.R.G. Fontes, Shock fluctuations in the asymmetric simple exclusion process, Probab. Theory Related Fields99 (1994) 305-319. Zbl0801.60094MR1278887
  11. [11] J. Gärtner, E. Presutti, Shock fluctuations in a particle system, Ann. Inst. H. Poincaré, Phys. Théor.53 (1990) 1-14. Zbl0705.76054MR1077463
  12. [12] R.A. Holley, D.W. Strook, Generalized Ornstein–Uhlenbeck processes and infinite branching Brownian motions, Kyoto Univ. RIMS14 (1978) 741-814. Zbl0412.60065
  13. [13] C. Kipnis, C. Landim, Hydrodynamic Limit of Interacting Particle Systems, Springer-Verlag, 1999. Zbl0927.60002
  14. [14] S.L. Lu, Equilibrium fluctuations of a one dimensional nongradient Ginzburg–Landau model, Ann. Probab.22 (1994) 1252-1272. Zbl0818.60095
  15. [15] H. Spohn, Large Scale Dynamics of Interacting Particles, Springer-Verlag, New York, 1991. Zbl0742.76002

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.