A variational framework for nonlinear chemical thermodynamics employing the maximum energy dissipation principle

Journal of Physical Chemistry B

Volumn 113, Issue 23, 2009, Pages 8086-8090

  Moroz, Adam ^a  

^a DE MONTFORT UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON ENERGY LOSS SPECTROSCOPY; ENERGY DISSIPATION; ENERGY DISSIPATORS;

CHEMICAL THERMODYNAMICS; GENERALIZED DISPLACEMENTS; KINETICS MODELS; NON EQUILIBRIUM; OPTIMAL CONTROLS; VARIATIONAL FORMULATION; VARIATIONAL FRAMEWORK;

THERMOCHEMISTRY;

EID: 67649329695     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp9015646     Document Type: Article

References (39)

1. Englander, S. W.; Mayne, L.; Rumbley, J. N. Biophys. Chem. 2002, 101-102, 57.
2. Qian, H. Biophys. J. 2008, 95, 10.
3. Veytsman, B. A. J. Phys. Chem. 1993, 97, 7144.
4. Sen, T. Z.; Feng, Y.; Garcia, J. V.; Kloczkowski, A.; Jernigan, R. L. J. Chem. Theory Comput. 2006, 2, 696.
5. Licata, N. A.; Tkachenko, A. V. Phys. Rev. Lett. 2008, 100, 158102.
6. Novak, I. L.; Slepchenko, B. M.; Mogilner, A.; Loew, L. M. Phvs. Rev. Lett. 2004, 93, 268109.
7. Sokolov, A.; Aranson, I. S.; Kessler, J. O.; Goldstein, R. E. Phvs. Sw. Lett. 2007, 98, 158102.
8. Sum, A. K.; Sandler, S. I. J. Phys. Chem. A 2000, 104, 1121.
9. Xantheas, S. S. Chem. Phys. 2000, 258, 225.
10. Reich, L.; Weikl, T. R. Proteins: Struct. Funct. Bioinf. 2006, 63, 1052.
11. Gu, J.; Wang, J.; Leszczynski, J. J. Phys. Chem. B 2004, 108, 8017.
12. Ludwig, R. J. Mol. Liq. 2000, 84, 65.
13. Luty, T.; Yonemitsu, K. J. Phys. Soc Jpn. 2004, 73, 1237.
14. Bulsara, A. R.; Lindner, J. F.; In, V.; Kho, A.; Baglio, S.; Sacco, V.; Ando. B.; Longhini, P.; Palacios, A.; Rappel, W.-J. Phvs. Lett. A 2006, 353, A.
15. Haken, H. Advanced Synergetics: Instability Hierarchies of SelfOrganizing Systems and Devices; Springer-Verlag: New York, 1993.
16. Demishev, S. V.; Semeno, A. V.; Pronin, A. A.; Sluchanko, N. E.; Samarin, N. A.; Ohta, H.; Okubo, S.; Kimata, M.; Koyama, K.; Motokawa, M.; Kuznetsov, A. V. J. Supercond. Nov. Magnet. 2007, 20, 105.
17. Hur, K. Ann. Phys. 2008, 323, 2208.
18. Agarwal, G. S. Phys. Rev. A 1978, 18, 1490.
19. Agarwal, G. S.; Rattay, F. Phys. Rev. A 1988, 37, 3351.
20. Drobizhev, M.; Karotki, A.; Dzenis, Yu.; Rebane, A. J. Phvs. Chem. £2003, 107, 7540.
21. Scott, J. Social Network Analysis: A Handbook, 2nd ed.; Sage: London, 2000.
22. Varela, F.; Lachauz, J. P.; Rodriguez, E.; Martinerie, J. Nat. Rev. Ngjirosci. 2001, 2, 229.
23. Demirel, Y.; Sandler, S. I. Biophys. Chem. 2002, 97, 87.
24. Ziegler, H. ZAMP 1983, 34, 832.
25. Paltridge, G. W. Nature 1979, 279, 630.
26. Lorenz, R. D. J. Non-Equilib. Thermodyn. 2002, 27, 229.
27. Kleidon, A.; Fraedrich, K.; Kunz, T.; Lunkeit, F. Geophys. Res. Lett. 2003, 30, 2223.
28. Svoboda, J.; Turek, I.; Fischer, F. D. Philos Mag. 2005, 85, 3699.
29. Fratzl, P.; Fischer, F. D.; Svoboda, J. Phys. Rev. Lett. 2005, 95, 195702.
30. Martyushev, L. M..; Seleznev, V. D. Phys. Rep. 2006, 426, 1.
31. Moroz, A. The Common Extremalities in Biology and Physics; PHME: Minsk, Belarus, 1997.
32. Moroz, A. Chem. Phys. Lett. 2008, 457, 448.
33. .Dewar, R. C. J. Phys. A: Math. Gen. 2003, 36, 631.
34. Dewar, R. C J. Phys. A: Math. Gen. 2005, 38, L371.
35. Prigogine, I. Introduction to Non-Equilibrium Thermodynamics; Wiley-Interscience: New York, 1962.
36. Glansdorff, P.; Prigogine, I. Thermodynamic Theory of Structure, Stability and fluctuations; Wiley: New York, 1971.
37. Gelfand, I. M.; Fomin, S. V. Calculus of Variation; Prentice-Hall: Englewood Cliffs, NJ, 1963.
38. Pontryagin, L. S.; Boltyanskii, V. G.; Gamkrelidze, R. V.; Mischenko, E. F. The Mathematical Theory of Optima! Processes; Interscience: New York, 1962.
39. Landau, L. D.; Lifshitz, E. M. Mechanics, 3rd ed.; Pergamon: London, 1976.