109
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Coarse-graining and renormalization group methods for the elucidation of the kinetics of complex nucleation and growth processes

&
Pages 177-185 | Received 05 May 2005, Accepted 02 Aug 2005, Published online: 21 Feb 2007

References

  • Coveney , PV and Highfield , RR . 1990 . The Arrow of Time , (London) : Flamingo (1991), WH Allen .
  • Coveney , PV and Highfield , RR . Frontiers of Complexity , (London) : Faber & Faber (1995 & 1996) .
  • Murray , JD . 1993 . Mathematical Biology , Berlin : Springer-Verlag . 2nd Edn
  • Skå , J and Coveney , PV . 2003 . Phil. Trans. R. Soc. A , 361 : 1047 (Eds), Self-organisation,(1807)
  • Frisch , U . 1995 . Turbulence: The Legacy of AN Kolmogorov , Cambridge : Cambridge University Press .
  • Gray , P and Scott , SK . 1994 . Chemical Oscillations and Instabilities: Nonlinear Chemical Kinetics , Oxford : Oxford University Press .
  • Glass , L and Mackey , MC . 1988 . From Clocks to Chaos , Princeton : Princeton University Press .
  • Hodgkin , AL and Huxley , AF . 1952 . J. physiol. (London) , 117 : 500
  • Becker , R and Döring , W . 1935 . Ann. Phys , 24 : 719
  • Ball , JM and Carr , J . 1990 . J. stat. Phys , 61 : 203
  • von Smoluchowski , M . 1916 . Phys. Z , 17 : 557
  • Wattis , JAD . 2004 . J. phys. A Math. Gen , 37 : 7823
  • Amit , DJ . 1978 . Field Theory, the Renormalization Group and Critical Phenomena , London : McGraw Hill .
  • Cardy , J . 1996 . Scaling and Renormalisation in Statistical Physics , Cambridge : Cambridge University Press .
  • Wilson , KG . 1971 . Phys. Rev.B , 4 : 3174
  • Wilson , KG . 1971 . Phys. Rev. B , 4 : 3184
  • Wilson , KG and Kogut , J . 1974 . Phys. Rep. C , 12 : 75
  • Goldenfeld , N . 1992 . Lectures on Phase Transitions and the Renormalisation Group. Frontiers in Physics , Vol. 85 , Reading, MA : Addison-Wesley .
  • Woodruff , SL . 1993 . Stud. Appl. Math , 90 : 225
  • Woodruff , SL . 1995 . Stud. Appl. Math , 94 : 393
  • Woodruff , SL . 1995 . Phys. Rev.. E , 52
  • Woodruff , SL and Messiter , AF . 1994 . Stud. Appl. Math , 92 : 159
  • Coveney , PV and Wattis , JAD . 1996 . Proc. R. Soc. 1A, , 452 : 2079
  • Coveney , PV and Wattis , JAD . 1999 . J. phys. A Math. Gen , 32 : 7145
  • Wattis , JAD and Coveney , PV . 1997 . J. chem. Phys , 106 : 9122
  • Wattis , JAD and King , JR . 1998 . J. phys. A Math. Gen , 31 : 7169
  • Bolton , CD and Wattis , JAD . 2003 . J. phys. A Math. Gen , 36 : 7859
  • Wattis , JAD and Coveney , PV . 2001 . J. phys. A Math. Gen , 34 : 8679
  • Wattis , JAD and Coveney , PV . 2001 . J. phys. A Math. Gen , 34 : 8697
  • Colonna , S , Fleischaker , G and Luisi , PL . 1994 . Self-production of Supramolecular Structures: From Synthetic Structures to Models of Minimal Living Systems , Dordrecht : NATO ASI Series, Kluwer . (Eds)
  • Bachmann , P , Luisi , PL and Lang , J . 1992 . Nature , 357 : 57
  • Carr , J . 1981 . Applications of Center Manifold Theory , New York : Springer .
  • Bender , CM and Orszag , SA . 1978 . Advanced Mathematical Methods for Scientists and Engineers , Singapore : McGraw-Hill .
  • Walde , P , Wick , R , Fresta , M , Mangone , A and Luisi , PL . 1994 . J. Am. Chem. Soc , 116 : 11649
  • Coveney , PV and Wattis , JAD . 1998 . J. chem. Soc.: Faraday Trans , 102 : 233
  • Berclaz , N , Blöchliger , E , Müler , M and Luisi , PL . 2001 . J. phys. Chem. B, , 105 : 1065
  • Berclaz , N , Müller , M , Walde , P and Luisi , PL . 2001 . J. phys. Chem.B , 105 : 1056
  • Blöchliger , E , Blocher , M , Walde , P and Luisi , PL . 1998 . J. phys. Chem.B , 102 : 10383
  • Bolton , CD and Wattis , JAD . 2003 . J. phys. Chem. B , 107 : 7126 J. phys. Chem. B, 107, 14306 (2003)
  • Wattis , JAD and Coveney , PV . 1999 . PCCP , 1 : 2163
  • Wattis , JAD and Coveney , PV . 1999 . J. phys. Chem. B , 103 : 4231
  • Wattis , JAD and Coveney , PV . 2005 . Origins of Life and the Evolution of the Biosphere , 35 : 243 http://arXiv.org/abs/physics/0402091
  • Wattis , JAD and Coveney , PV . 2005 . Int. J. astrobiol , 4 : 63
  • Sandars , PGH . 2003 . Origins of Life and the Evolution of Biospheres , 33 : 575
  • Gesteland , RF , Cech , TR and Atkins , JF . 1999 . The RNA World , New York : Cold Spring Harbour Laboratory Press . (Eds).2nd Edn
  • Wattis , JAD . 1999 . J. phys. A Math. Gen , 32 : 8755
  • da Costa , FP , Grinfeld , M and Wattis , JAD . 2002 . Stud. Appl. Math , 109 : 163

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.