Periodic copolymers at selective interfaces: A large deviations approach

Annals of Applied Probability

Volumn 15, Issue 1 B, 2005, Pages 963-983

  Bolthausen, Erwin ^a   Giacomin, Giambattista ^b  

^a UNIVERSITY OF ZURICH   (Switzerland)

^b UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

Copolymers; Donsker Varadhan theory; Energy entropy competition; Large deviations; Localization delocalization transition; Random walk

Indexed keywords

EID: 14544292050     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/105051604000000800     Document Type: Article

References (16)

1. BISKUP, M. and DEN HOLLANDER, F. (1999). A heteropolymer near a linear interface. Ann. Appl. Probab. 9 668-687.
2. BOLTHAUSEN, E. (1987). Markov process large deviations in -topology. Stochastic Process. Appl. 25 95-108.
3. BOLTHAUSEN, E. and DEN HOLLANDER, F. (1997). Localization transition for a polymer near an interface. Ann. Probab. 25 1334-1366.
4. CHATELIN, F. (1993). Eigenvalues of Matrices. Wiley, Chichester.
5. DEMBO, A. and ZEITOUNI, O. (1998). Large Deviations Techniques and Applications, 2nd ed. Springer, New York.
6. FELLER, W. (1968). An Introduction to Probability Theory and its Applications 1, 3rd ed. Wiley, New York.
7. GIACOMIN, G. (2003). Localization phenomena for random polymer models. Course lecture notes. Available at http://felix.proba.jussieu.fr/pageperso/ giacomin/GBpage.html.
8. GROSBERG, A. YU., IZRAILEV, S. and NECHAEV, S. (1994). Phase transition in a heteropolymer chain at a selective interface. Phys. Rev. E 50 1912-1921.
9. ISOZAKI, Y. and YOSHIDA, N. (2001). Weakly pinned random walk on the wall: Pathwise descriptions of the phase transition. Stochastic Process. Appl. 96 261-284.
10. MINC, H. (1988). Nonnegative Matrices. Wiley, New York.
11. MONTHUS, C. (2000). On the localization of random heteropolymers at the interface between two selective solvents. European Phys. J. B 13 111-130.
12. MONTHUS, C., GAREL, T. and ORLAND, H. (2000). Copolymer at a selective interface and two dimensional wetting: A grand canonical approach. European Phys. J. B 17 121-130.
13. JANSE VAN RENSBURG, E. J. and RECHNITZER, A. (2001). Exchange relations, dyck paths and copolymer adsorption. Preprint.
14. SINAI, YA. G. (1993). A random walk with a random potential. Theory Probab. Appl. 38 382-385.
15. SINAI, YA. G. and SPOHN, H. (1996). Remarks on the delocalization transition for heteropolymers. In Topics in Statistical and Theoretical Physics (R. L. Dobrushin, R. A. Minlos, M. A. Shubin and A. M. Vershik, eds.) 219-223. Amer. Math. Soc., Providence, RI.
16. SOMMER, J.-U. and DAOUD, M. (1995). Copolymers at selective interfaces. Europhys. Lett. 32 407-412.