Thermodynamics of urban population flows

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

Volumn 86, Issue 6, 2012, Pages

  Hernando, A ^a   Plastino, A ^b,c  

^a UNIVERSITÉ PAUL SABATIER   (France)

^b UNIVERSIDAD NACIONAL DE LA PLATA   (Argentina)

^c INSTITUTO DE FÍSICA INTERDISCIPLINAR Y SISTEMAS COMPLEJOS IFISC CSIC UIB   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

MACROSCOPIC APPROACH; MICROSCOPIC DYNAMICS; RANDOM WALKERS; SOCIAL GROUPS; URBAN POPULATION;

CONDENSED MATTER PHYSICS; PHYSICS;

THERMODYNAMICS;

ALGORITHM; HUMAN; MOTION; NORMAL DISTRIBUTION; POPULATION DYNAMICS; PROCEDURES; SOCIAL BEHAVIOR; SOCIOLOGY; STATISTICS; THEORETICAL MODEL; URBAN POPULATION;

ALGORITHMS; HUMANS; MODELS, THEORETICAL; MOTION; NORMAL DISTRIBUTION; POPULATION DYNAMICS; SOCIAL BEHAVIOR; SOCIAL SCIENCES; STOCHASTIC PROCESSES; URBAN POPULATION;

EID: 84871410497     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.066105     Document Type: Article

References (48)

1. J. Kemeny and J. L. Snell, Mathematical Models in the Social Sciences (MIT Press, Cambridge, 1978);
2. M. Schroeder, Fractals, chaos and power laws (Freeman, New York, 1990).
3. M. E. J. Newman, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.016131 64, 016131 (2001).
4. A. Hernando, D. Puigdomènech, D. Villuendas, C. Vesperinas, and A. Plastino, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2009.10.027 374, 18 (2009).
5. A.-L. Barabasi and R. Albert, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002).
6. T. Maillart, D. Sornette, S. Spaeth, and G. von Krogh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.218701 101, 218701 (2008).
7. B. Blasius and R. Tönjes, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.218701 103, 218701 (2009).
8. R. N. Costa Filho, M. P. Almeida, J. S. Andrade, and J. E. Moreira, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.60.1067 60, 1067 (1999).
9. A. A. Moreira, D. R. Paula, R. N. Costa Filho, and J. S. Andrade, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.065101 73, 065101 (R) (2006). (Pubitemid 43837770)
10. L. C. Malacarne, R. S. Mendes, and E. K. Lenzi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.65.017106 65, 017106 (2001).
11. M. Marsili and Y. C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2741 80, 2741 (1998).
12. R. L. Axtell, Science SCIEAS 0036-8075 10.1126/science.1062081 293, 1818 (2001). (Pubitemid 32845776)
13. G. K. Zipf, Human Behavior and the Principle of Least Effort (Addison-Wesley, Cambridge, 1949).
14. Y. Chen, Chaos, Solitons & Fractals 0960-0779 10.1016/j.chaos.2011. 10.001 45, 63 (2012).
15. B. Corominas-Murtra and R. V. Solé, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.011102 82, 011102 (2010).
16. X. Gabaix, Quart. J. Econom. 0033-5533 10.1162/003355399556133 114, 739 (1999).
17. A. Hernando, C. Vesperinas, and A. Plastino, Physica A PHYADX 0378-4371 10.1016/j.physa.2009.09.054 389, 490 (2010).
18. A. Hernando, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2010-00216-1 76, 87 (2010).
19. E. W. Weisstein, ''Benford's Law.'' From MathWorld-A Wolfram Web Resource (2012), mathworld.wolfram.com/BenfordsLaw.html.
20. F. Benford, Proc. Amer. Philos. Soc. 78, 551 (1938).
21. [http://en.wikipedia.org/wiki/Log-normal] (2012).
22. J. S. Huxley, Problems of Relative Growth (Methuen, London, 1932).
23. F. Black and M. Scholes, J. Polit. Economy 0022-3808 10.1086/260062 81, 637 (1973);
24. S. M. Ross, Introduction to Probability Models, 9th ed. (Academic Press, New York, 2007).
25. H. Rozenfeld, Proc. Nat. Acad. Sci. PNASA6 0027-8424 10.1073/pnas. 0807435105 105, 18702 (2008).
26. S. Ree, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.026115 73, 026115 (2006). (Pubitemid 43287710)
27. W. J. Reed and B. D. Hughes, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.067103 66, 067103 (2002). (Pubitemid 40606136)
28. S. Galam, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01027314 61, 943 (1990).
29. http://www.urbansim.org.
30. M. Batty, Cities and Complexity (MIT Press, Cambridge, 2005).
31. C. Castellano, S. Fortunato, and V. Loreto, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.591 81, 591 (2009).
32. S. Fortunato and C. Castellano, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.138701 99, 138701 (2007). (Pubitemid 47481392)
33. S. Galam, Physica A PHYADX 0378-4371 10.1016/S0378-4371(00)00272-7 285, 66 (2000).
34. A. Hernando and A. Plastino, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2012-30313-x 85, 293 (2012).
35. A. Hernando, R. Hernando, A. Plastino, and A. R. Plastino, J. R. Soc. Interface 1742-5689 10.1098/rsif.2012.0758 10, 20120758 (2013).
36. A. Hernando, A. Plastino, and A. R. Plastino, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2012-30009-3 85, 147 (2012).
37. A. Hernando and A. Plastino, Phys. Lett. A (2012), doi: 10.1016/j.physleta.2012.10.054.
38. National Statistics Institute of Spain INE Government of Spain (2012), www.ine.es.
39. A. Katz, Principles of Statistical Mechanics (Freeman, San Francisco, 1967).
40. C. Tsallis, Introduction to Nonextensive Statistical Mechanics (Springer, New York, 2009).
41. Census Bureau, Government of USA (2012), www.census.gov.
42. R. I. M. Dunbar, J. Hum. Evo. 0047-2484 10.1016/0047-2484(92)90081-J 20, 469 (1992);
43. R. I. M. Dunbar, Beh. Brain Sci. BBSCDH 0140-525X 10.1017/ S0140525X00032325 16, 681 (1993).
44. Vĝl d'Aoûta, Wikivoyage (2012), de.wikivoyage.org/wiki/Datei: V%C3%A2l-d%27Ao%C3%BBta.png.
45. Marshall Islands location map, Wikimedia Commons (2012), commons.wikimedia.org/wiki/File:Marshall-Islands-location-map.svg.
46. Economic Policy, Planning and Statistics Office, Republic of the Marshall Islands (2012), http://www.spc.int/prism/country/mh/stats/.
47. National Statistical Institute ISTAT, Government of Italy (2012), en.istat.it.
48. A. Hernando and A. Plastino, arXiv: 1207.6504 (2012).