Progress in front propagation research

Reports on Progress in Physics

Volumn 71, Issue 8, 2008, Pages

  Fort, Joaquim ^a   Pujol, Toni ^a  

^a UNIVERSITY OF GIRONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 52349093315     PISSN: 00344885     EISSN: None     Source Type: Journal    
DOI: 10.1088/0034-4885/71/8/086001     Document Type: Article

References (128)

1. Fort J and Méndez V 2002 Rep. Prog. Phys. 65 895
2. van Saarloos W 2003 Phys. Rep. 386 29
3. Merikoski J, Maunuksela J, Myllys M and Timonen J 2003 Phys. Rev. Lett. 90 024501
4. Fort J and Méndez V 1999 Phys. Rev. Lett. 82 867
5. Fort J and Méndez V 2002 Phys. Rev. Lett. 89 178101
6. Garner A L, Lau Y Y, Jackson T L, Uhler M D, Jordan D W and Gilgenbach R M 2005 J. Appl. Phys. 98 124701
7. Zykov V S and Showalter K 2005 Phys. Rev. Lett. 94 068302
8. Ferreiro V, Douglas J F, Warren J and Karim A 2002 Phys. Rev. E 65 051606
9. Rosenstein B, Ya Shapiro B and Shapiro I 2005 Europhys. Lett. 70 506
10. Douglas J F, Efimenko K, Fischer S A, Phelan F R and Genzer J 2007 Proc. Natl Acad. Sci. USA 104 10324
11. Fort J 2007 J. Appl. Phys. 101 094701
12. Fort J and Pujol T 2007 New J. Phys. 9 234
13. Méndez V, Fedotov S, Campos D and Horsthemke W 2007 Phys. Rev. E 75 011118
14. Wei H, Lilienkamp G, Davidsen J, Bär M and Imbihl R 2006 Phys. Rev. E 73 016210
15. Davison K, Dolukhanov P, Sarson G R and Shukurov A 2006 J. Archaeol. Sci. 33 641
16. Fort J, Pérez-Losada J and Isern N 2007 Phys. Rev. E 76 031913
17. Vlad V O and Ross J 2002 Phys. Rev. E 66 061908
18. Méndez V, Campos D and Fedotov S 2004 Phys. Rev. E 70 066129
19. Fedotov S and Okuda Y 2002 Phys. Rev. E 66 021113
20. Fort J, Jana D and Humet J 2004 Phys. Rev. E 70 031913
21. Fort J, Pérez J, Ubeda E and García J 2006 Phys. Rev. E 73 021907
22. Méndez V, Ortega-Cejas V and Campos D 2006 Physica A 367 283
23. Harris S 2003 Phys. Rev. E 68 031912
24. Ortega-Cejas V, Fort J and Méndez V 2006 Physica A 366 299
25. Fort J, Pérez-Losada J, Sũol J J, Escoda L and Massaneda J M 2008 New J. Phys. 10 043045
26. Yadav A and Horsthemke W 2006 Phys. Rev. E 74 066118
27. Brockmann D and Hufnagel L 2007 Phys. Rev. Lett. 98 178301
28. Mendez V, Pujol T and Fort J 2002 Phys. Rev. E 65 041109
29. Benguria R D, Depassier M C and Méndez V 2004 Phys. Rev. E 69 031106
30. Vladimirova N and Rosner R 2005 Phys. Rev. E 71 067303
31. Vladimirova N, Weirs V G and Ryzhik L 2006 Combust. Theor. Modelling 10 727
32. Fort J, Campos D, Gonzlez J R and Velayos J 2004 J. Phys. A: Math. Gen. 37 7185
33. Pujol T, Fort J, Gonzlez J R, Montoro L and Pelegrí M 2008 Physica A 387 1987
34. Pujol T, Fort J, Gonzlez J R, Montoro L and Sũol J J 2008 submitted
35. Fort J, Nathan R, Katul G G and Horvitz N 2008 submitted
36. Hamilton M J and Buchanan B 2007 Proc. Natl Acad. Sci. USA 104 15625
37. Fort J, Pujol T and Cavalli-Sforza L L 2004 Camb. Archaeol. J. 14 53-61
38. Ackland G J, Signitzer M, Stratford K and Cohen M H 2007 Proc. Natl Acad. Sci. USA 104 8714
39. Ortega-Cejas V, Fort J, Méndez V and Campos D 2004 Phys. Rev. E 69 031909
40. Abedon S T and Culler R R 2007 J. Theor. Biol. 248 111
41. Vlad M O, Moran F, Tsuchiya M, Cavalli-Sforza L L, Oefner P J and Ross J 2002 Phys. Rev. E 65 061110
42. Edmons C A, Lillie A S and Cavalli-Sforza L L 2004 Proc. Natl Acad. Sci. USA 101 975
43. Vlad M O, Cavalli-Sforza L L and Ross J 2004 Proc. Natl Acad. Sci. USA 101 10249
44. Fedotov S and Iomin A 2007 Phys. Rev. Lett. 98 118101
45. Fedotov S 2000 J. Phys. A: Math. Gen. 33 7033
46. Bär M, Hagbert A, Meron E and Thiele U 1999 Phys. Rev. Lett. 83 2664
47. Bär M, Hagbert A, Meron E and Thiele U 2000 Phys. Rev. E 62 366
48. Haus J E and Kehr K W 1987 Phys. Rep. 150 263 section 10
49. Meakin P 1983 Phys. Rev. B 28 5221
50. Hill N A 1997 J. Theor. Biol. 186 503
51. Berg H C 1983 Random Walks in Biology (Princeton: Princeton University Press)
52. Lotka A J 1956 Elements of Mathematical Biology (New York: Dover) pp 64-9
53. Hall C A S 1988 Ecol. Modelling 43 5
54. van den Bosch F, Metz J A J and Diekmann O 1990 J. Math. Biol. 28 529
55. Fort J and Méndez V 1999 Phys. Rev. E 60 5894
56. Murray J D 2002 Mathematical Biology vol 2 3rd edn (Berlin: Springer)
57. Colding E A and Hill N A 2005 J. Theor. Biol. 233 573
58. Paulin C O 1932 Atlas of the Historical Geography of the United States (Westport: Greenwood) 76-9 plates
59. Flanders S A 1998 Atlas of American Migration (New York: Facts on File)
60. Campos D, Fort J and Méndez V 2006 Theor. Popul. Biol. 69 88
61. Ferrie J P 2006 Historical Statistics of the US vol 5 millenial edition ed S B Carter et al (Cambridge: Cambridge University Press) chapter Ac, table 2
62. See also Ferrie J P 1996 Historical Methods 29 141
63. Ammerman A J and Cavalli-Sforza L L 1971 Man 6 674
64. Zilhao J 2001 Proc. Natl Acad. Sci. USA 98 14180
65. Davison K, Dolukhanov P M, Sarson G R, Shukurov A and Zaitseva G I 2007 Documenta Praehistorica 34 139
66. Cohen M H 1992 Springer Proceedings in Physics: Nonlinearity with Disorder ed F Abdullaev et al (Berlin: Springer) pp 161-70
67. Aoki K, Shida M and Shigesada N 1996 Theor. Popul. Biol. 50 1
68. Fisher R A 1937 Ann. Eugen. 7 353
69. Yin J 1991 Biochem. Biophys. Res. Commun. 174 1009
70. Hassell M P, Miramontes O, Rohani P and May R M 1995 J. Anim. Ecol. 64 662
71. Sunderland P B, Mendelson B J, Yuan Z-G and Urban D L 1999 Comb. Flame 116 376
72. Fedotov S 2001 Phys. Rev. Lett. 86 926
73. Feller W 1968 An Introduction to Probability Theory and its Applications 3rd edn (New York: Wiley)
74. Zeldovich Ya B, Barenblatt G I, Librovich V B and Makhviladze G M 1985 The Mathematical Theory of Combustion and Explosions (New York: Consultants Bureau)
75. Echekki T, Kerstein A R and Dreeben T D 2001 Comb. Flame 125 1083
76. Haworth D C and Poinsot T J 1992 J. Fluid Mech. 244 405
77. Masri A R, Ibrahim S S and Cadwallader B J 2006 Exp. Thermal Fluid Sci. 30 687
78. Naamansen P, Baraldi D, Hjertager B H, Solberg T and Cant S 2002 J. Loss Prevention Process Ind. 15 189
79. Xin J 2000 SIAM Rev. 42 161
80. Benguria R D and Depassier M C 1998 Phys. Rev. E 57 6493
81. Abel M, Celani A, Vergni D and Vulpiani A 2001 Phys. Rev. E 64 046307
82. Ronney P D 2001 Microgravity Combustion: Fires in Free Fall (London: Academic) p 35
83. Warnatz U, Maas U and Dibble R W 2001 Combustion (Berlin: Springer)
84. Benguria R D, Cisternas J and Depassier M C 1995 Phys. Rev. E 52 44116
85. Zeldovich Y B and Frank-Kamenetzki D A 1938 Acta Physicochim. USSR 9 341
86. Kolmogorov A, Petrovski I and Piskunov N 1937 Bull. Univ. Moscow Ser. Int. A 1 1
87. Aronson D G and Weinberger F H 1978 Adv. Math. 30 33
88. Aronson D G and Weinberger F H 1975 Partial Differential Equations and Related Topics ed J A Goldstein (Berlin: Springer) pp 5-49
89. Ronney P D 1998 27th Symp. (Int.) on Combustion (Pittsburg: The Combustion Institute) p 2485
90. de Groot S R and Mazur P 1962 Non-Equilibrium Thermodynamics (London: Dover)
91. Rutland C J and Trouvé A 1993 Comb. Flame 94 41
92. Clavin P and Williams F A 1982 J. Fluid Mech. 116 251
93. Elghobashi S, Zhong R and Boratav O 1999 Phys. Fluids 11 3123
94. Elghobashi S, Zhong R and Boratav O 1999 Phys. Fluids 16 387
95. Van Den Bosch F, Hengeveld F R and Metz J A J 1992 J. Biogeogr. 19 135
96. Kot M, Lewis M A and van den Driessche P 1996 Ecology 77 2027
97. Neubert M and Caswell H 2000 Ecology 81 1613
98. Ammerman A J and Cavalli-Sforza L L 1984 The Neolithic Transition and the Genetics of Population in Europe (Princeton: Princeton University Press)
99. Pinhasi R, Fort J and Ammerman A J 2005 PLoS Biol. 3 2220
100. Stauder J 1971 The Majangir: Ecology and Society of a Southwest Ethiopian People (Cambridge: Cambridge University Press)
101. Sellen D W and Mace R 1997 Curr. Anthropology 38 878 table 2
102. Cartea and del-Castillo-Negrete D 2007 Phys. Rev. E 76 041105
103. Shigesada N and Kawasaki K 1997 Biological Invasions: Theory and practice (Oxford: Oxford University Press)
104. Arim M, Abades S R, Neill P E, Lima M o and Marquet P A 2006 Proc. Natl Acad. Sci. USA 103 374
105. Delbrück M 1946 Biol. Rev. Proc. Camb. Phil. Soc. 21 30
106. Fricke H 1924 Phys. Rev. 24 575
107. Yin J 1993 J. Bacteriol. 175 1272
108. Yin J and McCaskill J S 1992 Biophys. J. 61 1540
109. Dieterich P, Klages R, Preuss R and Schwab A 2008 Proc. Natl Acad. Sci. USA 105 459
110. Klafter J, Blumen A and Shlesinger M F 1987 Phys. Rev. A 35 3081
111. Weinberger H F 1978 Nonlinear Partial Differential Equations and Applications ed J Chadam (Berlin: Springer)
112. Wienberger H F 1982 SIAM J. Math. Anal. 13 353
113. Clark J S 1998 Am. Nat. 152 204 especially figure 1 and p 219
114. Nathan R et al 2002 Nature 418 409
115. Nathan R and Katul G G 2005 Proc. Natl Acad. Sci. USA 102 8251
116. Soons M B, Heil G W, Nathan R and Katul G G 2004 Ecology 85 3056
117. Birdsell J P 1957 Cold Spring Harbor Symp. Quantum Biol. 22 47
118. Ammerman A J and Cavalli-Sforza L L 1971 Man 6 674
119. Méndez V, Fort J and Farjas J 1999 Phys. Rev. E 60 5231 section V
120. Currat M and Excofier L 2005 Proc. R. Soc. B 272 679
121. Ammerman A J 2003 The Widening Harvest: The Neolithic Transition in Europe-Looking back, Looking forward ed A J Ammerman and P Biagi (Boston: Archaeological Institute of America) pp 3-23
122. Ferguson N M et al 2003 Nature 425 681
123. Othmer H G, Dunbar S R and Alt W 1998 J. Math. Biol. 26 263 especially pp 268-70
124. Vlad M O and Popa V T 1985 Math. Biosci. 76 161
125. Vlad M O 1987 J. Theor. Biol. 126 239
126. Lotka A J 1939 Théorie Analytique des Associations Biologiques vol II (Paris: Hermann)
127. Callen J D Fundamentals of Plasma Physics (draft freely available at http://homepages.cae.wisc.edu/∼callen/), appendix F, equations (F.5.b,k) and (F.11.g,n). Note that the variable iω in this reference is equivalent to -s in [125] and the present review
128. Spiegel M R 1970 Mathematical Handbook of Formulas and Tables (New York: McGraw-Hill) formulae 32.25 and 32.13