Publications of Luc Rey-Bellet

1. Ground states and low temperature expansion for a variant of the t-J model. Master Thesis ETH, under the guidance of Prof. J. Froehlich, unpublished (1994).

   
   

2. Low-temperature phase diagrams of quantum lattice systems. II. Convergent perturbation expansions and stability in systems with infinite degeneracy (with N. Datta, J. Froehlich, and R. Fernandez). Helv. Phys. Acta. 69, 752--820 (1996). PDF file

   
   

3. Low-temperature phase diagrams of quantum lattice systems. III. Examples (with J. Froehlich). Helv. Phys. Acta 69, 821--849 (1996). PDF file

   
   

4. Markov processes and non-equilibrium statistical mechanics. Ph.D. Thesis. Under the guidance of Prof. J.-P. Eckmann. University of Geneva (1998).

   
   

5. Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures (with C.-A. Pillet and J.-P. Eckmann). Commun. Math. Phys. 201, 657--697 (1999). Reprint in PDF

   
   

6. Entropy production in non-linear, thermally driven Hamiltonian systems (with C.-A. Pillet and J.-P. Eckmann). J. Stat. Phys. 95, 305--331 (1999). Reprint in PDF

   
   

7. Asymptotic behavior of thermal non-equilibrium steady states for a driven chain of anharmonic oscillators (with L.E. Thomas). Commun. Math. Phys. 215, 1--24 (2000). Reprint in PDF

   
   

8. Fourier Law: A challenge to theorists (with F. Bonetto and J. L. Lebowitz). In: Mathematical Physics 2000, A. Fokas, A. Grigoryan, T. Kibble, and B. Zegarlinski (Eds.) Imp. Coll. Press, London 2000. PDF file

   
   

9. Quantum lattice systems at intermediate temperature (with J. Froehlich and D. Ueltschi). Commun. Math. Phys. 224, 33--63 (2001). Reprint in PDF

   
   

10. Exponential convergence to non-equilibrium stationary states in classical statistical mechanics (with L.E. Thomas). Commun. Math. Phys. 225, 305--329 (2002). Reprint in PDF

    
    

11. Fluctuations of the entropy production in anharmonic chains (with L.E. Thomas). Ann. Henri Poinc.3 483--502 (2002). Reprint in PDF

    
    

12. Statistical mechanics of anharmonic lattices. In: Advances in Differential Equations and Mathematical Physics, AMS Contemporary Mathematics Series 327, 283--298 (2003). PDF file

    
    

13. Nonequilibrium statistical mechanics of open classical systems. In: XIVth International Conference on Mathematical Physics , World Scientific 2006. PDF file

    
    

14. Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics (with L.E. Thomas). Stochastic Process. Appl. 115, 1041--1059 (2005). Reprint in PDF

    
    

15. Large deviations in quantum lattice systems: one phase region (with M. Lenci). J. Stat. Phys. 119 , 715--746 (2005). Reprint in PDF

    
    

16. Ergodic Properties of Markov Processes. In Quantum Open Systems II. The markovian approach. Lecture Notes in Mathematics 1881 . Berlin: Springer, 2006, pp. 1--39. Reprint in PDF

    
    

17. Open Classical Systems. In: Quantum Open Systems II. The markovian approach. Lecture Notes in Mathematics 1881 . Berlin: Springer, 2006, pp. 41--78. Reprint in PDF

    
    

18. Fourier Law (with F. Bonetto). In: Encyclopedia of Mathematical Physics. J.-P. Francoise, G. L. Naber, Tsou S.T. (Eds.) Elsevier 2006. Reprint in PDF

    
    

19. Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems (with M. Katsoulakis, P. Plechac, and D. Tsagkarogiannis). ESAIM: Mathematical Modelling and Numerical Analysis 41 , 627--660 (2007). PDF file

    
    

20. Mathematical strategies and error quantification in the coarse-graining of extensive systems (with M. Katsoulakis, P. Plechac, and D. Tsagkarogiannis). Journal of Non Newtonian Fluid Mechanics 152 , 101--112 (2008). PDF file

    
    

21. Nonequilibrium stationary states (Deterministic). Submitted to Modern Encyclopedia of Mathematical Physics I. Arefeva, D. Sternheimer (Eds.). Springer. PDF file

    
    

22. Dissipative transport. Submitted to Modern Encyclopedia of Mathematical Physics. I. Arefeva, D. Sternheimer (Eds.). Springer. PDF file

    
    

23. Large deviations in nonuniformly hyperbolic dynamical systems (with L.-S. Young). Ergodic Theory and Dynamical Systems 28 , 587-612 (2008). PDF file

    
    

24. Numerical and statistical methods for the coarse-graining of many-particle stochastic systems (with M. Katsoulakis and P. Plechac). To be published in Journal of Scientific Computing. PDF file

    
    

25. Multi-body interactions in coarse-graining schemes of extended systems (with S. Are, M. Katsoulakis , and P. Plechac). Submitted. PDF file