On the universality of thermodynamics' Legendre transform structure

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 226, Issue 5, 1997, Pages 257-263

  Plastino, A ^a   Plastino, A R ^a,b  

^a UNIVERSIDAD NACIONAL DE LA PLATA   (Argentina)

^b CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

CANONICAL ENSEMBLE; FUNCTIONAL FORMS; JAYNES' MAXIMUM ENTROPY PRINCIPLES; LEGENDRE-TRANSFORM STRUCTURES; MEAN ENERGY;

ENTROPY;

EID: 0000672234     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(96)00942-5     Document Type: Article

References (30)

1. E.T. Jaynes, in: Statistical physics, ed. W.K. Ford (Benjamin, New York, 1963); A. Katz, Statistical mechanics (Freeman, San Francisco, 1967).
2. E.T. Jaynes, in: Statistical physics, ed. W.K. Ford (Benjamin, New York, 1963); A. Katz, Statistical mechanics (Freeman, San Francisco, 1967).
3. A.I. Khinchin, Mathematical foundations of information theory (Dover, New York, 1957).
4. C. Beck and F. Schloegl, Thermodynamics of chaotic systems (Cambridge Univ. Press, Cambridge, 1993).
5. C. Tsallis, Fractals 6 (1995) 539, and references therein.
6. C. Tsallis, J. Stat. Phys. 52 (1988) 479.
7. E.M.F. Curado and C. Tsallis, J. Phys. A 24 (1991) L69; Corrigenda: 24 (1991) 3187; 25 (1992) 1019.
8. A.R. Plastino and A. Plastino, Phys. Lett. A 177 (1993) 177.
9. A.K. Rajagopal, Phys. Rev. Lett. 76 (1996) 3469.
10. A.R. Plastino and A. Plastino, Phys. Lett. A 174 (1993) 384; 193 (1994) 251; J.J. Aly, in: N-body problems and gravitational dynamics, Proc. of the Meeting held at Aussois, France, 21-25 March 1993, eds. F. Combes and E. Athanassoula (Publications de l'Observatoire de Paris, 1993).
11. A.R. Plastino and A. Plastino, Phys. Lett. A 174 (1993) 384; 193 (1994) 251; J.J. Aly, in: N-body problems and gravitational dynamics, Proc. of the Meeting held at Aussois, France, 21-25 March 1993, eds. F. Combes and E. Athanassoula (Publications de l'Observatoire de Paris, 1993).
12. A.R. Plastino and A. Plastino, Phys. Lett. A 174 (1993) 384; 193 (1994) 251; J.J. Aly, in: N-body problems and gravitational dynamics, Proc. of the Meeting held at Aussois, France, 21-25 March 1993, eds. F. Combes and E. Athanassoula (Publications de l'Observatoire de Paris, 1993).
13. G. Kaniadakis, A. Lavagno and P. Quarati, Phys. Lett. B 369 (1996) 308; V.H. Hamity and D.E. Barraco, Phys. Rev. Lett. 76 (1996) 4664.
14. G. Kaniadakis, A. Lavagno and P. Quarati, Phys. Lett. B 369 (1996) 308; V.H. Hamity and D.E. Barraco, Phys. Rev. Lett. 76 (1996) 4664.
15. P.A. Alemany and D.H. Zanette, Phys. Rev. E 49 (1994) 956; D.H. Zanette and P.A. Alemany, Phys. Rev. Lett. 75 (1995) 366; C. Tsallis, S.V.F. Levy, A.M.C. Souza and R. Maynard, Phys. Rev. Lett. 75 (1995) 3589; C. Tsallis, A.M.C. Souza and R. Maynard, in: Levy flights and related topics in physics, eds. M.F. Shlesinger, G.M. Zaslavsky and U. Frisch (Springer, Berlin, 1995).
16. P.A. Alemany and D.H. Zanette, Phys. Rev. E 49 (1994) 956; D.H. Zanette and P.A. Alemany, Phys. Rev. Lett. 75 (1995) 366; C. Tsallis, S.V.F. Levy, A.M.C. Souza and R. Maynard, Phys. Rev. Lett. 75 (1995) 3589; C. Tsallis, A.M.C. Souza and R. Maynard, in: Levy flights and related topics in physics, eds. M.F. Shlesinger, G.M. Zaslavsky and U. Frisch (Springer, Berlin, 1995).
17. P.A. Alemany and D.H. Zanette, Phys. Rev. E 49 (1994) 956; D.H. Zanette and P.A. Alemany, Phys. Rev. Lett. 75 (1995) 366; C. Tsallis, S.V.F. Levy, A.M.C. Souza and R. Maynard, Phys. Rev. Lett. 75 (1995) 3589; C. Tsallis, A.M.C. Souza and R. Maynard, in: Levy flights and related topics in physics, eds. M.F. Shlesinger, G.M. Zaslavsky and U. Frisch (Springer, Berlin, 1995).
18. P.A. Alemany and D.H. Zanette, Phys. Rev. E 49 (1994) 956; D.H. Zanette and P.A. Alemany, Phys. Rev. Lett. 75 (1995) 366; C. Tsallis, S.V.F. Levy, A.M.C. Souza and R. Maynard, Phys. Rev. Lett. 75 (1995) 3589; C. Tsallis, A.M.C. Souza and R. Maynard, in: Levy flights and related topics in physics, eds. M.F. Shlesinger, G.M. Zaslavsky and U. Frisch (Springer, Berlin, 1995).
19. B.M.R. Boghosian, Phys. Rev. E 53 (1995) 4754.
20. T.J.P. Penna, Phys. Rev. E 51 (1995) R1; Computer in Physics 9 (1995) 341; D.A. Stariolo and C. Tsallis, Ann. Rev. Comp. Phys., Vol. II, ed. D. Stauffer (World Scientific, Singapore, 1995), p. 343; K.C. Mundim and C. Tsallis, Int. J. Quantum Chem. 58 (1996) 373; J. Schulte, Phys. Rev. E 53 (1996) 1348; I. Andricionaei and J. Straub, Phys. Rev. E 53 (1996) R3055.
21. T.J.P. Penna, Phys. Rev. E 51 (1995) R1; Computer in Physics 9 (1995) 341; D.A. Stariolo and C. Tsallis, Ann. Rev. Comp. Phys., Vol. II, ed. D. Stauffer (World Scientific, Singapore, 1995), p. 343; K.C. Mundim and C. Tsallis, Int. J. Quantum Chem. 58 (1996) 373; J. Schulte, Phys. Rev. E 53 (1996) 1348; I. Andricionaei and J. Straub, Phys. Rev. E 53 (1996) R3055.
22. T.J.P. Penna, Phys. Rev. E 51 (1995) R1; Computer in Physics 9 (1995) 341; D.A. Stariolo and C. Tsallis, Ann. Rev. Comp. Phys., Vol. II, ed. D. Stauffer (World Scientific, Singapore, 1995), p. 343; K.C. Mundim and C. Tsallis, Int. J. Quantum Chem. 58 (1996) 373; J. Schulte, Phys. Rev. E 53 (1996) 1348; I. Andricionaei and J. Straub, Phys. Rev. E 53 (1996) R3055.
23. T.J.P. Penna, Phys. Rev. E 51 (1995) R1; Computer in Physics 9 (1995) 341; D.A. Stariolo and C. Tsallis, Ann. Rev. Comp. Phys., Vol. II, ed. D. Stauffer (World Scientific, Singapore, 1995), p. 343; K.C. Mundim and C. Tsallis, Int. J. Quantum Chem. 58 (1996) 373; J. Schulte, Phys. Rev. E 53 (1996) 1348; I. Andricionaei and J. Straub, Phys. Rev. E 53 (1996) R3055.
24. T.J.P. Penna, Phys. Rev. E 51 (1995) R1; Computer in Physics 9 (1995) 341; D.A. Stariolo and C. Tsallis, Ann. Rev. Comp. Phys., Vol. II, ed. D. Stauffer (World Scientific, Singapore, 1995), p. 343; K.C. Mundim and C. Tsallis, Int. J. Quantum Chem. 58 (1996) 373; J. Schulte, Phys. Rev. E 53 (1996) 1348; I. Andricionaei and J. Straub, Phys. Rev. E 53 (1996) R3055.
25. T.J.P. Penna, Phys. Rev. E 51 (1995) R1; Computer in Physics 9 (1995) 341; D.A. Stariolo and C. Tsallis, Ann. Rev. Comp. Phys., Vol. II, ed. D. Stauffer (World Scientific, Singapore, 1995), p. 343; K.C. Mundim and C. Tsallis, Int. J. Quantum Chem. 58 (1996) 373; J. Schulte, Phys. Rev. E 53 (1996) 1348; I. Andricionaei and J. Straub, Phys. Rev. E 53 (1996) R3055.
26. E.A. Desloge, Thermal physics (Holt, Rinehart and Winston, New York, 1968).
27. J. Aliaga, D. Otero, A. Plastino and A.N. Proto, Phys. Rev. A 37 (1988) 918.
28. E. Duering, D. Otero, A. Plastino and A.N. Proto, Phys. Rev. A 32 (1985) 2455.
29. E. Duering, D. Otero, A. Plastino and A.N. Proto, Phys. Rev. A 35 (1987) 2314.
30. A.R. Plastino and A. Plastino, Physica A 232 (1996) 458.