Simulating Rare Events in Dynamical Processes

Journal of Statistical Physics

Volumn 145, Issue 4, 2011, Pages 787-811

  Giardina, Cristian ^a   Kurchan, Jorge ^b   Lecomte, Vivien ^c   Tailleur, Julien ^d  

^a UNIVERSITY OF MODENA AND REGGIO EMILIA   (Italy)

^b ESPCI   (France)

^c University of Paris VII LPSM partially supported by ERC Starting Grant 680275 MALIG   (France)

^d UNIVERSITÉ PARIS DIDEROT   (France)

Author keywords

Large deviations; Rare events; Simulations

Indexed keywords

EID: 81755173503     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-011-0350-4     Document Type: Review

References (54)

1. Touchette, H.: Phys. Rep. 478, 1 (2009).
2. Anderson, J. B.: J. Chem. Phys. 63, 1499 (1975).
3. Aldous, D., Vazirani, U.: In: Proc. 35th IEEE Sympos. on Foundations of Computer Science (1994).
4. Grassberger, P.: Comput. Phys. Commun. 147, 64-70 (2002).
5. Del Moral, P., Doucet, A., Jasra, A.: J. R. Stat. Soc., Ser. B, Stat. Methodol. 68, 411-436 (2006).
6. Giardina, C., Kurchan, J., Peliti, L.: Phys. Rev. Lett. 96, 120603 (2006).
7. Garrahan, J.-P., Jack, R. L., Lecomte, V., Pitard, E., van Duijvendijk, K., van Wijland, F.: J. Phys. A, Math. Theor. 42, 075007 (2009).
8. Tailleur, J., Lecomte, V.: In: Modeling and Simulation of New Materials. AIP Conf. Proc., vol. 1091, p. 212 (2009).
9. Frisch, U.: Turbulence: The Legacy of A. N. Kolmogorov. Cambridge University Press, Cambridge (1995).
10. El Makrini, M., Jourdain, B., Lelièvre, T.: Diffusion Monte Carlo method: numerical analysis in a simple case. ESAIM, Math. Model. Numer. Anal. 41, 189 (2007).
11. Cochran, W.: Sampling Techniques. Wiley Eastern, New Delhi (2007).
12. Bodineau, T., Derrida, B.: Phys. Rev. E 72, 066110 (2005).
13. Hurtado, P. I., Garrido, P. L.: Phys. Rev. Lett. 102, 250601 (2009).
14. Hurtado, P. I., Garrido, P. L.: J. Stat. Mech., P02032 (2009).
15. Hurtado, P. I., Garrido, P. L.: Phys. Rev. E 81, 041102 (2010).
16. Hurtado, P. I., Pérez-Espigares, C., del Pozo, J. J., Garrido, P. L.: Proc. Natl. Acad. Sci. USA 108, 7704 (2011).
17. Hurtado, P. I., Garrido, P. L.: arXiv: 1106. 0690.
18. Lecomte, V., Tailleur, J.: J. Stat. Mech., P03004 (2007).
19. Merolle, M., Garrahan, J.-P., Chandler, D.: Proc. Natl. Acad. Sci. USA 102, 10837 (2005).
20. Lecomte, V., Appert-Rolland, C., van Wijland, F.: C. R. Phys. 8, 609 (2007).
21. Bodineau, T., Lefevere, R.: J. Stat. Phys. 133, 1 (2008).
22. Maes, C., Netocný, K., Wynants, B.: Markov Process. Relat. Fields 14, 445 (2008).
23. Maes, C., Netocný, K.: Europhys. Lett. 82, 30003 (2008).
24. Fredrickson, G. H., Andersen, H. C.: Phys. Rev. Lett. 53, 1244 (1984).
25. Kob, W., Andersen, H. C.: Phys. Rev. E 48, 4364 (1993).
26. Ritort, F., Sollich, P.: Adv. Phys. 52, 219 (2003).
27. Garrahan, J.-P., Sollich, P., Toninelli, C.: In: Dynamical Heterogeneities in Glasses, Colloids and Granular Materials. Oxford University Press, London (2011).
28. Garrahan, J.-P., Jack, R. L., Lecomte, V., Pitard, E., van Duijvendijk, K., van Wijland, F.: Phys. Rev. Lett. 98, 195702 (2007).
29. Chandler, D., Garrahan, J.-P.: Annu. Rev. Phys. Chem. 61, 191 (2010).
30. Hedges, L. O., Jack, R. L., Garrahan, J.-P., Chandler, D.: Science 323, 1309 (2009).
31. Pitard, E., Lecomte, V., van Wijland, F.: arXiv: 1105. 2460 (2011).
32. van Duijvendijk, K., Jack, R. L., van Wijland, F.: Phys. Rev. E 81, 011110 (2010).
33. van Duijvendijk, K., Schehr, G., van Wijland, F.: Phys. Rev. E 78, 011120 (2008).
34. Sinai, Y. G.: Russ. Math. Surv. 27, 21 (1972).
35. Bowen, R.: Equilibrium States and the Ergodic Theory of Anosov Diffeomorphism. Lecture Notes in Math., vol. 470. Springer, Berlin (1975).
36. Ruelle, D.: Invent. Math. 34, 231 (1976).
37. Ruelle, D.: Thermodynamic Formalism. Addison-Wesley, Reading (1978).
38. van Beijeren, H., Mülken, O.: Phys. Rev. E 71, 036213 (2005).
39. Tailleur, J., Kurchan, J.: Nat. Phys. 3, 203-207 (2007).
40. Kurchan, J.: J. Stat. Phys. 128, 1307 (2007).
41. Berman, G. P., Izrailev, F. M.: Chaos 15, 015104 (2005).
42. Kuptsov, P. V., Politi, A.: arXiv: 1102. 3141 (2011).
43. Kruskal, M. D., Zabusky, N. J.: J. Math. Phys. 5, 231 (1964).
44. Cretegny, T., Dauxois, T., Ruffo, S., Torcini, A.: Physica D 121, 109-126 (1998).
45. Trombettoni, A., Smerzi, A.: Phys. Rev. Lett. 86, 2353-2356 (2001).
46. Evans, D. J., Cohen, E. G. D., Morriss, G. P.: Phys. Rev. Lett. 71, 2401 (1993).
47. Gallavotti, G., Cohen, E. G. D.: Phys. Rev. Lett. 74, 2694 (1995).
48. Jarzynski, C.: Phys. Rev. Lett. 78, 2690 (1997).
49. Kurchan, J.: J. Stat. Phys. 128, 1307 (2007).
50. Portelli, B., Holdsworth, P. C. W., Pinton, J. F.: Phys. Rev. Lett. 90, 104501 (2003).
51. Ciliberto, S., Laroche, C.: J. Phys. (Paris) 8, 215-219 (1998).
52. Bonetto, F., Gallavotti, G.: Commun. Math. Phys. 189, 263 (1997).
53. Barnes, R., Quinn, T.: Astrophys. J. 611, 494 (2004).
54. Laskar, J.: Astron. Astrophys. 287, L9 (1994).