Wavelet treatment of the intrachain correlation functions of homopolymers in dilute solutions

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 5 1, 2004, Pages

  Fedorov, M V ^a   Chuev, G N ^b   Kuznetsov, Yu A ^a   Timoshenko, E G ^a  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

^b INSTITUTE OF THEORETICAL AND EXPERIMENTAL BIOPHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CORRELATION METHODS; FUNCTIONS; MONOMERS; MONTE CARLO METHODS; NEUTRON SCATTERING; SOLUTIONS; SOLVENTS; THERMODYNAMICS; X RAY SCATTERING;

CORRELATION FUNCTIONS (CF); DISCRETE WAVELETS; HETEROPOLYMERS; HOMOPOLYMERS;

POLYMERS;

EID: 37649033106     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.051803     Document Type: Article

References (44)

1. J. des Cloizeaux and G. Jannink, Polymers in Solution (Oxford Science, Oxford, 1990).
2. J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids, 2nd ed. (Academic, London, 1986).
3. L. Schäfer, Excluded Volume Effects in Polymer Solutions as Explained by the Renormalisation Group (Springer-Verlag, Berlin, 1999), Chap. 16; L. Schäfer, U. Lehr, and C. Kappeler, J. Phys. I 1, 211 (1991).
4. L. Schäfer, Excluded Volume Effects in Polymer Solutions as Explained by the Renormalisation Group (Springer-Verlag, Berlin, 1999), Chap. 16; L. Schäfer, U. Lehr, and C. Kappeler, J. Phys. I 1, 211 (1991).
5. G. N. Chuev and M. V. Fedorov, J. Comput. Chem. 25, 1369 (2004).
6. G. N. Chuev and M. V. Fedorov, J. Chem. Phys. 120, 1191 (2004).
7. G. N. Chuev and M. V. Fedorov, Phys. Rev. E 68, 027702 (2003).
8. S. G. Mallat, A Wavelet Tour of Signal Processing, 2nd ed. (Academic, San Diego, 1999).
9. Y. Meyer, Wavelets: Algorithms and Applications (SIAM, Philadelphia, 1993).
10. I. Daubechies, Ten Lectures on Wavelets, CBMS/NSF Series in Applied Math. No. 61 (SIAM, Philadelphia, 1992).
11. D. L. Donoho, Appl. Comput. Harmon. Anal. 1, 100 (1993); D. L. Donoho, M. Vetterli, R. A. DeVore, and I. Daubechies, IEEE Trans. Inf. Theory 44, 2435 (1998).
12. D. L. Donoho, Appl. Comput. Harmon. Anal. 1, 100 (1993); D. L. Donoho, M. Vetterli, R. A. DeVore, and I. Daubechies, IEEE Trans. Inf. Theory 44, 2435 (1998).
13. R. T. Ogden, Essential Wavelets for Statistical Applications and Data Analysis (Birkhauser, Boston, 1997).
14. K. Cho, T. A. Arias, J. D. Joannopoulos, and P. K. Lam, Phys. Rev. Lett. 71, 1808 (1993).
15. S. Wei and M. Y. Chou, Phys. Rev. Lett. 76, 2650 (1996).
16. S. Goedecker and O. V. Ivanov, Comput. Phys. 12, 548 (1998).
17. S. Goedecker, Wavelets and Their Application for the Solution of Partial Differential Equations in Physics (Presses Polytechniques et Universitaires Romandes, Lausanne, 1998).
18. S. Han, K. Cho, and J. Ihm, Phys. Rev. B 60, 1437 (1999).
19. S. Goedecker and I. Ivanov, Phys. Rev. B 59, 7270 (1999); I. M. Dremin, O. V. Ivanov, and V. A. Nechitailo, Phys. Usp. 44(5), 447 (2001),
20. S. Goedecker and I. Ivanov, Phys. Rev. B 59, 7270 (1999); I. M. Dremin, O. V. Ivanov, and V. A. Nechitailo, Phys. Usp. 44(5), 447 (2001),
21. J.-P. Antoine, Ph. Antoine, and B. Piraux, in Wavelets in Physics, edited by J. C. van den Berg (Cambridge University Press, Cambridge, England, 1999), p. 299.
22. T. A. Arias, Rev. Mod. Phys. 71, 267 (1999).
23. H.-J. Flad, W. Hackbusch, D. Kolb, and R. Schneider, J. Chem. Phys. 116, 9641 (2002).
24. H. Luo, D. Kolb, H.-J. Flad, W. Hackbusch, and T. Koprucki, J. Chem. Phys. 117, 3625 (2002).
25. A. B. Romeo, C. Horellou, and J. Bergh, Mon. Not. R. Astron. Soc. 342, 337 (2003); 354, 1208 (2004).
26. A. B. Romeo, C. Horellou, and J. Bergh, Mon. Not. R. Astron. Soc. 342, 337 (2003); 354, 1208 (2004).
27. R. Guida and J. Zinn-Justin, J. Phys. A 31, 8103 (1998).
28. E. G. Timoshenko and Yu. A. Kuznetsov. Colloids Surf., A 190, 135 (2001).
29. Yu. A. Kuznetsov and E. G. Timoshenko, J. Chem. Phys. 111, 3744 (1999).
30. F. Ganazzoli, Yu. A. Kuznetsov, and E. G. Timoshenko, Macromol, Theory Simul. 10, 325 (2001).
31. Computer Simulation of Liquids, edited by M. P. Allen and D. J. Tildesley, (Clarendon, Oxford, 1987).
32. E. G. Timoshenko, Yu. A. Kuznetsov, and R. Connoly, J. Chem. Phys. 116, 3905 (2002).
33. W. Sweldens, Appl. Comput. Harmon. Anal. 3, 86 (1996).
34. G. Belkyn, R. Coifman, and V. Rokhlin, Commun. Pure Appl. Math. 44, 141 (1991).
35. S. L. Marpl Jr., Digital Spectral Analysis with Applications (Prentice-Hall, Englewood Cliffs, NJ, 1987).
36. S. Carraciolo, M. S. Causo, and A. Pelisetto, J. Chem. Phys. 112, 7693 (2000).
37. C. von Ferber, A. Jusufi, M. Watzlawek, C. N. Likos, and H. Löwen, Phys. Rev. E 62, 6949 (2002); C. von Ferber, Nucl. Phys. B 490, 511 (1997).
38. C. von Ferber, A. Jusufi, M. Watzlawek, C. N. Likos, and H. Löwen, Phys. Rev. E 62, 6949 (2002); C. von Ferber, Nucl. Phys. B 490, 511 (1997).
39. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C (Cambridge University Press, Cambridge, England, 1992).
40. A. Yethiraj, J. Chem. Phys. 109, 3269 (1998).
41. N. Patra, and A. Yethiraj, J. Chem. Phys. 118, 4702 (2003).
42. M. B. Sweatman, J. Phys.: Condens. Matter 15, 3875 (2003).
43. K. S. Schweizer and J. G. Curro, Adv. Chem. Phys. 98, 1 (1997); P. A. Monson and G. P. Morriss, Ibid. 77, 451 (1990).
44. K. S. Schweizer and J. G. Curro, Adv. Chem. Phys. 98, 1 (1997); P. A. Monson and G. P. Morriss, Ibid. 77, 451 (1990).