Preferential attachment growth model and nonextensive statistical mechanics

Europhysics Letters

Volumn 70, Issue 1, 2005, Pages 70-76

  Soares, D J B ^a,b   Tsallis, C ^c,d   Mariz, A M ^a   Da Silva, L R ^a  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

^b FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

^c CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^d SANTA FE INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17144405316     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2004-10467-y     Document Type: Article

References (39)

1. GELL-MANN M. and TSALLIS C. (Editors), Nonextensive Entropy - Interdisciplinary Applications (Oxford University Press, New York) 2004.
2. WATTS D. J. and STROGATZ S. H., Nature, 393 (1998) 440.
3. ALBERT R. and BARABASI A.-L., Rev. Mod. Phys., 74 (2002) 47.
4. GELL-MANN M., The Quark and the Jaguar - Adventures in the Simple and the Complex (W. H. Freeman, New York) 1994.
5. BARABASI A. L. and ALBERT R., Science, 286 (1999) 509.
6. ALBERT R., JEONG H. and BARABASI A. L., Nature, 401 (1999) 130; Physica A, 281 (2000) 69; JEONG H., MASON S. P., OLTAVAI Z. N. and BARABASI A. L., Nature, 411 (2001) 41; ROZENFELD A. F., COHEN R., BEN-AVRAHAM D. and HAVLIN S., Phys. Rev. Lett., 89 (2002) 218701.
7. ALBERT R., JEONG H. and BARABASI A. L., Nature, 401 (1999) 130; Physica A, 281 (2000) 69; JEONG H., MASON S. P., OLTAVAI Z. N. and BARABASI A. L., Nature, 411 (2001) 41; ROZENFELD A. F., COHEN R., BEN-AVRAHAM D. and HAVLIN S., Phys. Rev. Lett., 89 (2002) 218701.
8. ALBERT R., JEONG H. and BARABASI A. L., Nature, 401 (1999) 130; Physica A, 281 (2000) 69; JEONG H., MASON S. P., OLTAVAI Z. N. and BARABASI A. L., Nature, 411 (2001) 41; ROZENFELD A. F., COHEN R., BEN-AVRAHAM D. and HAVLIN S., Phys. Rev. Lett., 89 (2002) 218701.
9. ALBERT R., JEONG H. and BARABASI A. L., Nature, 401 (1999) 130; Physica A, 281 (2000) 69; JEONG H., MASON S. P., OLTAVAI Z. N. and BARABASI A. L., Nature, 411 (2001) 41; ROZENFELD A. F., COHEN R., BEN-AVRAHAM D. and HAVLIN S., Phys. Rev. Lett., 89 (2002) 218701.
10. YOOK S. H., JEONG H. and BARABASI A.-L., Proc. Natl Acad. Sci. U.S.A., 99 (2002) 13382; MANNA S. S. and SEN PARONGAMA, Phys. Rev. E, 66 (2002) 066114.
11. YOOK S. H., JEONG H. and BARABASI A.-L., Proc. Natl Acad. Sci. U.S.A., 99 (2002) 13382; MANNA S. S. and SEN PARONGAMA, Phys. Rev. E, 66 (2002) 066114.
12. TSALLIS C., in Anomalous Distributions, Nonlinear Dynamics and Nonextensivity, edited by SWINNEY H. L. and TSALLIS C., Physica D, 193 (2004) 3.
13. TSALLIS C., Quim. Nova, 17 (1994) 468.
14. TSALLIS C., J. Stat. Phys., 52 (1988) 479; CURADO E. M. F. and TSALLIS C., J. Phys. A, 24 (1991) L69; 24 (1991) 3187(E); 25 (1992) 1019(E).
15. TSALLIS C., J. Stat. Phys., 52 (1988) 479; CURADO E. M. F. and TSALLIS C., J. Phys. A, 24 (1991) L69; 24 (1991) 3187(E); 25 (1992) 1019(E).
16. TSALLIS C., J. Stat. Phys., 52 (1988) 479; CURADO E. M. F. and TSALLIS C., J. Phys. A, 24 (1991) L69; 24 (1991) 3187(E); 25 (1992) 1019(E).
17. TSALLIS C., J. Stat. Phys., 52 (1988) 479; CURADO E. M. F. and TSALLIS C., J. Phys. A, 24 (1991) L69; 24 (1991) 3187(E); 25 (1992) 1019(E).
18. ABE S. and OKAMOTO Y. (Editors), Nonextensive Statistical Mechanics and Its Applications, Lect. Notes Phys. (Springer-Verlag, Heidelberg) 2001; KANIADAKIS G., LISSIA M. and RAPISARDA A. (Editors), Non Extensive Statistical Mechanics and Physical Applications, Physica A, 305 (2002) 27; HERRMANN H. J., CURADO E. M. F. and BARBOSA M. (Editors), Physica A, 344, Issue 3/4 (Elsevier, Amsterdam) 2004. For full bibliography see http://tsallis.cat.cbpf.br/biblio. htm.
19. ABE S. and OKAMOTO Y. (Editors), Nonextensive Statistical Mechanics and Its Applications, Lect. Notes Phys. (Springer-Verlag, Heidelberg) 2001; KANIADAKIS G., LISSIA M. and RAPISARDA A. (Editors), Non Extensive Statistical Mechanics and Physical Applications, Physica A, 305 (2002) 27; HERRMANN H. J., CURADO E. M. F. and BARBOSA M. (Editors), Physica A, 344, Issue 3/4 (Elsevier, Amsterdam) 2004. For full bibliography see http://tsallis.cat.cbpf.br/biblio. htm.
20. ABE S. and OKAMOTO Y. (Editors), Nonextensive Statistical Mechanics and Its Applications, Lect. Notes Phys. (Springer-Verlag, Heidelberg) 2001; KANIADAKIS G., LISSIA M. and RAPISARDA A. (Editors), Non Extensive Statistical Mechanics and Physical Applications, Physica A, 305 (2002) 27; HERRMANN H. J., CURADO E. M. F. and BARBOSA M. (Editors), Physica A, 344, Issue 3/4 (Elsevier, Amsterdam) 2004. For full bibliography see http://tsallis.cat.cbpf.br/biblio. htm.
21. TSALLIS C., MENDES R. S. and PLASTINO A. R., Physica A, 261 (1998) 534.
22. ALBERT R. and BARABASI A.-L., Phys. Rev. Lett., 85 (2000) 5234.
23. DOYE J. P. K., Phys. Rev. Lett., 88 (2002) 238701.
24. TSALLIS C., PLASTINO A. R. and ZHENG W.-M., Chaos, Solitons Fractals, 8 (1997) 885; COSTA U. M. S., LYRA M. L., PLASTINO A. R. and TSALLIS C., Phys. Rev. E, 56 (1997) 245; LYRA M. L. and TSALLIS C., Phys. Rev. Lett., 80 (1998) 53; LATORA V., BARANGER M., RAPISARDA A. and TSALLIS C., Phys. Lett. A, 273 (2000) 97; BORGES E. P., TSALLIS C., ANANOS G. F. J. and DE OLIVEIRA P. M. C., Phys. Rev. Lett., 89 (2002) 25; ANANOS G. F. J. and TSALLIS C., Phys. Rev. Lett., 93 (2004) 020601.
25. TSALLIS C., PLASTINO A. R. and ZHENG W.-M., Chaos, Solitons Fractals, 8 (1997) 885; COSTA U. M. S., LYRA M. L., PLASTINO A. R. and TSALLIS C., Phys. Rev. E, 56 (1997) 245; LYRA M. L. and TSALLIS C., Phys. Rev. Lett., 80 (1998) 53; LATORA V., BARANGER M., RAPISARDA A. and TSALLIS C., Phys. Lett. A, 273 (2000) 97; BORGES E. P., TSALLIS C., ANANOS G. F. J. and DE OLIVEIRA P. M. C., Phys. Rev. Lett., 89 (2002) 25; ANANOS G. F. J. and TSALLIS C., Phys. Rev. Lett., 93 (2004) 020601.
26. TSALLIS C., PLASTINO A. R. and ZHENG W.-M., Chaos, Solitons Fractals, 8 (1997) 885; COSTA U. M. S., LYRA M. L., PLASTINO A. R. and TSALLIS C., Phys. Rev. E, 56 (1997) 245; LYRA M. L. and TSALLIS C., Phys. Rev. Lett., 80 (1998) 53; LATORA V., BARANGER M., RAPISARDA A. and TSALLIS C., Phys. Lett. A, 273 (2000) 97; BORGES E. P., TSALLIS C., ANANOS G. F. J. and DE OLIVEIRA P. M. C., Phys. Rev. Lett., 89 (2002) 25; ANANOS G. F. J. and TSALLIS C., Phys. Rev. Lett., 93 (2004) 020601.
27. TSALLIS C., PLASTINO A. R. and ZHENG W.-M., Chaos, Solitons Fractals, 8 (1997) 885; COSTA U. M. S., LYRA M. L., PLASTINO A. R. and TSALLIS C., Phys. Rev. E, 56 (1997) 245; LYRA M. L. and TSALLIS C., Phys. Rev. Lett., 80 (1998) 53; LATORA V., BARANGER M., RAPISARDA A. and TSALLIS C., Phys. Lett. A, 273 (2000) 97; BORGES E. P., TSALLIS C., ANANOS G. F. J. and DE OLIVEIRA P. M. C., Phys. Rev. Lett., 89 (2002) 25; ANANOS G. F. J. and TSALLIS C., Phys. Rev. Lett., 93 (2004) 020601.
28. TSALLIS C., PLASTINO A. R. and ZHENG W.-M., Chaos, Solitons Fractals, 8 (1997) 885; COSTA U. M. S., LYRA M. L., PLASTINO A. R. and TSALLIS C., Phys. Rev. E, 56 (1997) 245; LYRA M. L. and TSALLIS C., Phys. Rev. Lett., 80 (1998) 53; LATORA V., BARANGER M., RAPISARDA A. and TSALLIS C., Phys. Lett. A, 273 (2000) 97; BORGES E. P., TSALLIS C., ANANOS G. F. J. and DE OLIVEIRA P. M. C., Phys. Rev. Lett., 89 (2002) 25; ANANOS G. F. J. and TSALLIS C., Phys. Rev. Lett., 93 (2004) 020601.
29. TSALLIS C., PLASTINO A. R. and ZHENG W.-M., Chaos, Solitons Fractals, 8 (1997) 885; COSTA U. M. S., LYRA M. L., PLASTINO A. R. and TSALLIS C., Phys. Rev. E, 56 (1997) 245; LYRA M. L. and TSALLIS C., Phys. Rev. Lett., 80 (1998) 53; LATORA V., BARANGER M., RAPISARDA A. and TSALLIS C., Phys. Lett. A, 273 (2000) 97; BORGES E. P., TSALLIS C., ANANOS G. F. J. and DE OLIVEIRA P. M. C., Phys. Rev. Lett., 89 (2002) 25; ANANOS G. F. J. and TSALLIS C., Phys. Rev. Lett., 93 (2004) 020601.
30. BALDOVIN F. and ROBLEDO A., Europhys. Lett., 60 (2002) 518; Phys. Rev. E, 66 (2002) 045104(R); Phys. Rev. E, 69 (2004) 045202(R).
31. BALDOVIN F. and ROBLEDO A., Europhys. Lett., 60 (2002) 518; Phys. Rev. E, 66 (2002) 045104(R); Phys. Rev. E, 69 (2004) 045202(R).
32. BALDOVIN F. and ROBLEDO A., Europhys. Lett., 60 (2002) 518; Phys. Rev. E, 66 (2002) 045104(R); Phys. Rev. E, 69 (2004) 045202(R).
33. BALDOVIN F., BRIGATTI E. and TSALLIS C., Phys. Lett. A, 320 (2004) 254; BALDOVIN F., Physica A, 342 (2004) 119; BALDOVIN F., MOYANO L. G., MAJTEY A. P., ROBLEDO A. and TSALLIS C., Physica A, 340 (2004) 205.
34. BALDOVIN F., BRIGATTI E. and TSALLIS C., Phys. Lett. A, 320 (2004) 254; BALDOVIN F., Physica A, 342 (2004) 119; BALDOVIN F., MOYANO L. G., MAJTEY A. P., ROBLEDO A. and TSALLIS C., Physica A, 340 (2004) 205.
35. BALDOVIN F., BRIGATTI E. and TSALLIS C., Phys. Lett. A, 320 (2004) 254; BALDOVIN F., Physica A, 342 (2004) 119; BALDOVIN F., MOYANO L. G., MAJTEY A. P., ROBLEDO A. and TSALLIS C., Physica A, 340 (2004) 205.
36. BOGHOSIAN B. M., LOVE P. J., COVENEY P. V., KARLIN I. V., SUCCI S. and YEPEZ J., Phys. Rev. E, 68 (2003) 025103(R); BOGHOSIAN B. M., LOVE P., YEPEZ J. and COVENEY P. V., in Anomalous Distributions, Nonlinear Dynamics and Nonextensivity, edited by SWINNEY H. L. and TSALLIS C., Physica D, 193 (2004) 169; TSEKOURAS G. A., PROVATA A. and TSALLIS C., Phys. Rev. E, 69 (2004) 016120; ANTENEODO C., Eur. Phys. J. B, 42 (2004) 271.
37. BOGHOSIAN B. M., LOVE P. J., COVENEY P. V., KARLIN I. V., SUCCI S. and YEPEZ J., Phys. Rev. E, 68 (2003) 025103(R); BOGHOSIAN B. M., LOVE P., YEPEZ J. and COVENEY P. V., in Anomalous Distributions, Nonlinear Dynamics and Nonextensivity, edited by SWINNEY H. L. and TSALLIS C., Physica D, 193 (2004) 169; TSEKOURAS G. A., PROVATA A. and TSALLIS C., Phys. Rev. E, 69 (2004) 016120; ANTENEODO C., Eur. Phys. J. B, 42 (2004) 271.
38. BOGHOSIAN B. M., LOVE P. J., COVENEY P. V., KARLIN I. V., SUCCI S. and YEPEZ J., Phys. Rev. E, 68 (2003) 025103(R); BOGHOSIAN B. M., LOVE P., YEPEZ J. and COVENEY P. V., in Anomalous Distributions, Nonlinear Dynamics and Nonextensivity, edited by SWINNEY H. L. and TSALLIS C., Physica D, 193 (2004) 169; TSEKOURAS G. A., PROVATA A. and TSALLIS C., Phys. Rev. E, 69 (2004) 016120; ANTENEODO C., Eur. Phys. J. B, 42 (2004) 271.
39. BOGHOSIAN B. M., LOVE P. J., COVENEY P. V., KARLIN I. V., SUCCI S. and YEPEZ J., Phys. Rev. E, 68 (2003) 025103(R); BOGHOSIAN B. M., LOVE P., YEPEZ J. and COVENEY P. V., in Anomalous Distributions, Nonlinear Dynamics and Nonextensivity, edited by SWINNEY H. L. and TSALLIS C., Physica D, 193 (2004) 169; TSEKOURAS G. A., PROVATA A. and TSALLIS C., Phys. Rev. E, 69 (2004) 016120; ANTENEODO C., Eur. Phys. J. B, 42 (2004) 271.