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160 La irreversibilidad Con o con { X ... x t + r} = e<t>(x, x\. J L {x· .. x t}e -<t>{x,··xx J) I N' ext " IN'

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Page 1: {X r} J {x· .. -{x,··xx IN' Referencias Le Bellac, Fabrice ... Mechanics (Oxford University Press, New York, 1987 53. Crooks G.E., Man the Jarziynski relation for dissipative

160 La irreversibilidad

Con

o con

{ X ... x t + r} = e<t>(x, x\. JL {x· .. x t}e -<t>{x,··xx J) I N' ext " IN'

Referencias

Termodinamica Clasica

1. Fermi Enrico: Thermodynami

2. Holman J. P: Termodin6mica

3. Bejan, A.; "Entropy Genera

1994.

4. Callen H.; "Thermodynami

Son, 1985.

5. Criado-Sanchez M. y (

Irreversibles, Addison We

6. Chejne F.: Termodin6mic

7. Morin M. J and Shaph i

Wiley an Son, Inc, New'

Termodinamica Estadistica y f

8. Birzu I.; "Nouvelle v

d'entropie", ENTROPI

9. Boltzmann L., Lectuf

Press, Berkeley, 196

10. Boris V. Alexeev:

(2004).

11 . Callen, H. and Wall

12. Frank T.D., Daerts

generalized therrr

Page 2: {X r} J {x· .. -{x,··xx IN' Referencias Le Bellac, Fabrice ... Mechanics (Oxford University Press, New York, 1987 53. Crooks G.E., Man the Jarziynski relation for dissipative

La irreversibilidad

Referencias

Termodinamica

1. Fermi Enrico: Thermodynamics; Dover Publication Inc., USA, 1956.

2. Holman J. P: Termodinom/ca; 2nd Edici6n, Ed. McGraw Hill, 1974.

3. Bejan, A.; "Entropy Generation Through Heat and Fluid Flow", John Wiley & Son ltda,

1994.

4. Callen H.; "Thermodynamics and Introduction to Thermostatic" 2th John Willey and

Son, 1985.

5. Cdado-Sanchez M. y J., Termodinomico Qufmica de Procesos

Irreversibles, Addison Wesley, Iberoamerica, Espana,1988

6. Chejne F.: Termodinomico Editorial UPB, Medelin, 2000.

7. Morin M. J and Shaphiro H. N., Fundamentals of engineering Thermodynamics, John

Wiley an Son, Inc, New York, 1996;

Termodinamica Estadistica y Ecuaci6n de 80lztmann

8. Birzu I.; "Nouvelle variant pour Ie de la Production Minimale

d'entropie", ENTROPIE, 197, 1996.

9. Bo!tzmann l., Lecture on Gas Theory, translated by S. G. Brush, Universitu of California

Berkeley, 1964.

10. Boris V. A!exeev: Generalized Boltzmann Physicol Kinetics; B.V, Netrer!and,

(2004).

11. Cailen, H. and Walton, . Phys. Rev. 83, 1951.

12. Frank T.D., Daertshofer . H-theorem for nonlinear Fokker-Planck equations related to

generalized thermostatistics; Physica A 295 (2001) 455-474.

Page 3: {X r} J {x· .. -{x,··xx IN' Referencias Le Bellac, Fabrice ... Mechanics (Oxford University Press, New York, 1987 53. Crooks G.E., Man the Jarziynski relation for dissipative

162 La irreversibilidad

13. Gibb, M.; "Elementary principles in Statically Mechanics", Dover, New York, 1960.

14. Gibbs J. W., The Scientific paper of J. Willard Gibbs, Dover, New York, 1961.

15. Hill Terrell L., An Introduction to Stastistical Thermodynamics, Dover Publication, Inc, New

York, 1960, 1986

16. Huidan Yu : Lattice Boltzmann Equation Simulations Of Turbulence, Mixing, And

Combustion; Ph .D Thesis, Texas A&M University, USA (2004).

17. Khinchin A. I., Mathematical Foundation ofStatistical Mechanics, Dover, New York, 1960.

18. Landau y Lifshitz; "Fisica Estadistica", Reverte, Barcelona, 1969

19. Ljiljana, Kolar-Anic, Osnove Statisticke Thermodinamike, Fakultet za Fizicku Hemiju, DP

Studentski, Cip Stampa, Beograd, 1995

20. Michel Le Bellac, Fabrice Mortessagne and G. George Batrouni: Equilibrium and Non-

equilibrium Statistical; Cambridge University Press, UK, 2004.

21. Reichl L. E. : A Modern Course in Statistical Physics; John Wiley & Sons, Inc., Canada, 1998.

22. Schrodinger Edwin : Statistica Thermodynamics; Dover Publication Inc. N. Y. (1989-1952)

23 . Tholman R. ; " The Principles of Statistical Mechanics" Dover, New York, 1979.

Termodinamica Non-Equilibrium

24. Aguirre, Ja ime; Notas sobre termodinam ica irreversible, Facultad de Minas, Universidad

Nacional de Colombia.

25 . Chejne, Farid; Notas sobre Introducci6n a la teo ria de Fluctuaciones, Facultad de Minas,

Universidad Nacional de Colombia .

26. de Groot S. R. and Mazur P.; "Non-Equilibrium thermodynamics", Dover Publication, !'Jew

York, 1984.

27 . Glansdorff, P; and Prigogine, I; "Thermodynamic theory of Structure, Stability and

Fluctuations", John Wiley & Sons LTD, 1971.

28. Jou D., Casa-Vasquez J. and Lebon G., Extended irreversible thermodynamics, Pep. Prog.

Phys. 51, 1105-1179, UK, 1988

Re fe re ncia s

29. Kondepudi

Dissipative

30. Lavenda, F

York, 197

31. Malek, r

System

32 . Nicoli~

Struc

33 . Nico

34. On'

35 . Or

36. C

37 . '

38.

3

Page 4: {X r} J {x· .. -{x,··xx IN' Referencias Le Bellac, Fabrice ... Mechanics (Oxford University Press, New York, 1987 53. Crooks G.E., Man the Jarziynski relation for dissipative

La irreversibilidad Referencias 163

60. 29. Kondepudi D. and Prigogine, I. Modern Thermodynamics : From Heat Engines to

Dissipative Structures, John Wiley & Sons, England, 1998 1, Inc, New

30. Lavenda, B. H.; "Thermodynamics of Irreversible Processes" Dover Publications, INC., New

York,1978 :ing, And

31. Malek, M . Mansour ; "Fluctuations E. T. Transitions de phase de Non-equilibre dans les

Systemes Chimique", ULB, Ph.D. Thesis, 1979. k,1960.

32. Nicolis G. and Prigogine I., Self-Organization in Nonequilirium system: from Dissipative

Structures to Order through Fluctuation, Wiley, New York, 1977.

niju, DP 33. Nicolis G., "Introduction to Nonlinear Science" Cambridge University press, 1995.

34. Onsager L. , Phys. Rev. 37, 1931

':1 Non­35 . Onsager L., Phys. Rev. 38, 1931

36. Ott, E. ; "Chaos I Dynamical Systems" , Cambridge University Press, 1993.

1998. 37 . Prigogine I., "Time, Structure and Fluctuations" . Science, Vol. 201,4358, 1978.

52) 38. Prigogine I. and Nicolis G., "Exploring Complexity an Introduction", W.H Freeman and

company, New York, 1989

39 . Prigogine I. "Introduction to thermodynamics of Irreversible processes". Third edition,

science publishers, USA, 1967.

40. Truesdell, C. Rational Thermodynamic. McGraw-Hili, New York, 1969 iad

41. Velasquez J. E., Chejne F. y Hill A, Mathematical Model and Simulation of a Thermal

Diffusion Column. American Journal Of Heat Transfer . ASME Journal, v.125, n.2, p.266 ­IS,

272, 2003

N

Movimiento Browniano, Teorema de Fluctuaci6n-Disipaci6n, Teorema de Fluctuaciones y

procesos estocasticos:

42 . Atland A., De Martino A., Egger R. and Narozhny, Trasiente fluctuation relations for time­

dependent particle transport, Phys. Rev . Lett., 82, 115323, (2010).

Page 5: {X r} J {x· .. -{x,··xx IN' Referencias Le Bellac, Fabrice ... Mechanics (Oxford University Press, New York, 1987 53. Crooks G.E., Man the Jarziynski relation for dissipative

164 La irreversibilidad

43. Blickle V., Speck T., Heiden L., Seifert U., and Bechinger c., Phys. Rev. Lett. 96, 070603

(2006)Boffetta G., Cencini M., Falcioni M. and Vulpiani A., Predictability: a way to

characterize complexity, Physics Reports 356, 367-474, (2002)

44. Bustamante c., Liphardt J. and Ritort F., Phys Today, 58, No . 7, 43 (2005).

45. Callen H. B. and Welton T. A., 1951, "Irrevarsibility and Genralized Noise"Physical Review

83, 1, 1951

46. Chandler D., Introduction to Modern Statistical Mechanics (Oxford University Press, New

York, 1987)

47. Ciliberto S., Joubaud S., Petrosyan A., Fluctuations in out of equilibrium systems: from

theory to experiment, November 1, (2010).

48. Ciliberto, S.; Joubaud, S.; Petrosyan, A. : Fluctuations in out of equilibrium systems: from

theory to experiment, Condo Mat. Stat. Mech., November 1,2010 van

49. Ciliberto S. and Laroche c., J. Physique IV 8215 (1998).

50. Ciliberto S., Garnier N., Hernandez S., Lacpatia C. Pinton J. -F., Ruiz Chavarria G., Physica A

340, 240 (2004)

51. Collin D., Ritort F., Jarzynski c., Smith S. B., Tinoco I. Jr. and Bustamante c., Nature 437,

231-234 (2005)

52. Chandler D., Introduction to Modern Statistical Mechanics (Oxford University Press, New

York, 1987

53. Crooks G.E., Man the Jarziynski relation for dissipative quantum dynamics, J. Stat . Mech,

P10023 (2008).

54. Crooks G.E., Measuring Thermodynamic Length Phys. Rev. Letters, 99, 100602 (2007).

55. Crooks G.E., J. Stat. Phys 90, 1481 (1998)

56. Crooks G.E.; Phys. Rev. E60,2721 (1999)

57. Crooks G.E., Path-ensemble averages in systems driven far from equilibrium, Phys. Rev. E,

61,3, 2361 (2000).

58. de Groot S.R. and Mazur P., Non-Equlibrium Thermodynamics, Dover Publication, Inc,

New York (1984).

Re

Page 6: {X r} J {x· .. -{x,··xx IN' Referencias Le Bellac, Fabrice ... Mechanics (Oxford University Press, New York, 1987 53. Crooks G.E., Man the Jarziynski relation for dissipative

La irreversibilidad Referencias

C, Phys. Rev. Lett. 96, 070603

i A., Predictability: a way to

:)

. 43 (2005) .

'ized Noise" Physical Review

rd University Press, New

'ibrium systems: from

rium systems: from

ria G., Physica A

. Nature 437,

Press, New

t. Mech,

l

E,

59. Einstein A.: On the movement of small particles suspended in a stationary liquid

demanded by the molecular kinetic theory of heat; Annalen der Physik 17 [1905] : 549­

560 .

60. Esposito M . and van den Broeck c., Three faces of the second law. I. Master equation

formulation, Phys. Rev. E, 82, 011143, (2010) .

61. Esposito M. and van den Broeck c., Three Detailed Fluctuation Theorems, Phys. Rev. Lett .,

104, 090601, (2010) .

62. Esposito M., Harbola U. and Mukamel S", Entropy fluctuation theorems in driven open

systems: Application to electro counting statistics, Phys. Rev . E, 76, 031132, (2007) .

63 . Evans D. J., Cohen E.G.D., and Morriss G.P., Probability of Second Law Violations In

Shearing Steady State, Phys. Rev. Lett. 71, 2401 (1993) .

64. Evans D. J., Cohen E.G.D., and van Beijeren H.,Linear Response of Phase-Space

Trajectories to shearing, Phys. Rev. Lett. 62, 14, 1579 (1989).

65 . Evans D. J. and Searles D. J., Advances in Physics, 51, 1529-1585(2002).

66. Evans D. J. and Searles D. J., Phys. Rev. E, 50, 1645, (1994) .

67. Evans D. J. and Searles D. J. , Steadt stae, invariant measures, and response theory, Phys.

Rev. E, 52, 6, 5839, (1995) .

68. Evans D. J. and Searles D. J. and Rondoni L., Phys. Rev. E 71 (5) 056120 (2005).

69. Farago J., J. Stat. Phys. 107781 (2002); Physica A 33169 (2004) ;

70. Feitosa K., Menon N., Phys. Rev. Lett . 92 164301 (2004)

71. Feng E. H. and Crooks G. E., Far-fram-equilibrium measurements of thermodynamic

length , Phys. Rev. E 79 (5) 012104 (2009) .

72. Gallavotti G. and Cohen E. G.D., Phys. Rev. Lett . 74, 2694, (1995).

73 . Gardiner C. W.: Handbook of Stochastic Methods; Springer, Germany, 3rd Edition, (2004) .

74 . Garnier N., Ciliberto 5., Phys. Rev. E 71 060101(R) (2005)

75. Hatano T. and 5asa 5-1., Steady-state Thermodynamics of Langevin Systems, Phys. Rev.

Lett. 86, 3463 (2001).

165

Page 7: {X r} J {x· .. -{x,··xx IN' Referencias Le Bellac, Fabrice ... Mechanics (Oxford University Press, New York, 1987 53. Crooks G.E., Man the Jarziynski relation for dissipative

166 La irreversibilidad Referencias

76. Hao Ge and Hong Qian, Physical origins of entropy production, free energy dissipation

and their mathematical representation, Physicia Review E 81, 051133, 2010.

77. Jarzynski c., Nonequilibrium Work Relations: Foundations and applications,. Eur. Phys J. B.

64, 331-340 (2008);

78. Jarzynski c., Nonequilibrium Equality for Free Energy Differences Phys. Rev. Lett. 78, 14,

2690 (1997);

79. Jarzynski c., Equilibrium Free Energy Differences from nonequilibrium measurements: A

master equation approach, Phys. Rev. E56, 5, 5018 (1997);

80. Kubo R. : liThe Fluctuation-Dissipation theorem", Rep. Prog. Phys. 29 255, 1966.

81. Kurchan J., J. Phys. A 31, 3719, (1998).

82. Landau L. and Lifshitz E., Statistical physics, Oxford, (1938); Ffsica Estadfstica, Ed. Reverte,

SA, Barcelona, Espana, (1969).

83. Lebowitz J. L. and Spohn H., J. Stat. Phys. 95, 333 (1999);

, 84. Maes c., J. Stat. Phys. 95, 367 (1999).

85 . Maes C. nad van Wieren M . H., Time-symmetric Fluctuations in noequilibrium Systems,

Phys. Rev. Lett. 96, 240601 (2006) .

86. Onsager L. reprinted in, The collected works of Lars Onsager, World Scientific, Singapore

(1996).

87. Ottinger, H. C; Stochastic Process in Polymeric Fluid Springer, Germany, 1996

88. Prost J., Joanny J-F. and Parrondo J. M. R., Generalized Fluctuation-Dissipation Theorem

for Steady-State Systems, Phys. Rev. Lett. 103,090601 (2009).

89. Puglisi A., Rondoni L., Vulpiani A., J. Stat. Mech .: Theory and Experiment, P08010, 2006)

90. Punyabrata Pradhan, Nonequilibrium fluctuation theorems in the presence of a time­

reversal symmetry-breaking fieI and nonconservative forces, Physical Review E 81,

021122, 2010).

91. Risken, H.: The Fokker-Planck Equation : Methods of Solution and Applications;Second

edition Springer, Germany, 1989, 1996.

Page 8: {X r} J {x· .. -{x,··xx IN' Referencias Le Bellac, Fabrice ... Mechanics (Oxford University Press, New York, 1987 53. Crooks G.E., Man the Jarziynski relation for dissipative

167ReferenciasLa irreversibilidad

uction, free energy dissipation

1,051133,2010.

d applications,. Eur. Phys 1 B.

ces Phys. Rev. Lett. 78, 14,

librium measurements: A

'9 255, 1966.

tadistica, Ed. Reverte,

'Jilibrium Systems,

ntific, Singapore

5

tion Theorem

10,2006)

of a time­

~w E 81,

;Second

92. Ritort F., Nonequilibrium fluctuations in small system : from physics to biology, Reporto

Departamento de Ffsica Funamental, Faculty of Physics, Universitat de Barcelona, Spain,

May 2006

93. Ruelle D., J. Stat. Phys. 95, 393 (1999) .

94. Schnakenberg 1, Network theory of microscopic and macroscopic behavior of master

equation systems, Reviews of Modern PhYSics, 48, 4, (1976)

95 . Schuler S., Speck T., Tietz C, Wrachtrup 1, and Seifert U., Phys. Rev. Lett., 94, 180602

(2005)]

96. Searles D. J., Rondoni L., Evans D. J., J. Stat. Phys. 128, 1337 (2007

97. Seifert U., Phys. Rev. Lett., 95, 040602 (2005)

98. Serra R., Andretta M., Company M., and Zanarini G., "Introduction To The Physics of

Complex Systems" pergamon press, Headington Hill Hall, Oxford, England, 1986.

99 . Wang G. M., Reid J. C, Carberry D. M., Williams D. R. M., Sevick E. M ., Evans D. 1, Phys.

Rev. E 71 046142 (2005)

100. Wang G. M, Sevick E. M ., Mittag E., Searles D. J., Evans D. 1, Phys. Rev. Lett. 89

050601 (2002);

101. Tome Tania and de Oliveira Mario 1, Entropy production in irreversible Systems

described by a Fokker-Planck equation, Pysical Review E 82, 021120, 2010.

102 . Uli Deker and Fritz Haake : Fluctuaci6n-DisipationTheorems for classical processes,

Pyhsical Review A, (11), 6, 2043-2056, June 1975

103 . Van Zon R., Cohen E. G. D., Phys. Rev. E 67046102 (2003);

104. Van Zon R., Ciliberto S. and Cohen E. G. D.: Power and Heat Fluctuation Theorems

for Electric Circuits, 2004

105. Van Zon R., Ciliberto S., Cohen E. G. D., Phys. Rev. Lett. 92 (13) 130601 (2004);

106. Van Zon R. and Cohen E. G. D., Phys. Rev. Lett. 91 (11) 110601 (2003);

107 . Van Zon R. and Cohen E. G. D., Phys. Rev. E 67, 046102 (2003) .

108. Van Zon R. and Cohen E. G. D., Phys. Rev. E 69, 056121 (2004) .

Page 9: {X r} J {x· .. -{x,··xx IN' Referencias Le Bellac, Fabrice ... Mechanics (Oxford University Press, New York, 1987 53. Crooks G.E., Man the Jarziynski relation for dissipative

Referencias168 La irreversibilidad

109. Verley G., Mallick K. and Lacoste D., Modified fluctuation-dissipation theorem for 121. P

non-equilibrium steady states and applications to molecular motors, EPL, 93, 10002, and com

(2011) 122.

110. Yamada T. and Kawasaki, Nonlinear effects in the shear viscosity of critical 123.

Mixtures, Progress of theoretical Physics, 38,5, 1967. fen6me

124.

Mecanica Cuantica 1994.

125.

111. Fynman: FislCA Volumen /II, Mec6nica Cu6ntica; Fondo Educativo Interamericano, Madric

USA,1971; 126.

112. Heisenberg Werner: The physical Principles of the Quantum Theory; Dover 127.

Publication Inc. N. Y. (1949) Cultur

113. Perez H. c., Editorial UPB, Medellin,1998 128.

114. Sepulveda A., Fondo Editorial Cooperativo UdeA, Medellin, 1995; 129.

1996

Estabilidad 130.

Espa

115. Rivera A. and Chejne F. "Stability Analysis of Thermoacoustics Engines", Journal of

Non - Equilibrium Thermodynimic (26) 1,2001.

116. Satttinger D., "Topics in stability and bifurcation theory", Springier, Berlin, 1972.

117. Solari, H. G.; Natieilo, M. A. and Mindlin, G. B.; Nonlinear Dynamics, lOP

Publishing, UK, 1996.

Generalista

118. Berry R.; "Energy Understanding", Oxford, England, 1991

119. Capra, F.; "La Trama de la Vida"; Ed Anagrama . S.A., Barcelona, 1998.

120. Chejne, F.; "EI Tiempo Entr6pico", capitulo del libro "EI Problema Del Tiempo",

editado por la Universidad Nacional - sede Medellin, 2000.

Page 10: {X r} J {x· .. -{x,··xx IN' Referencias Le Bellac, Fabrice ... Mechanics (Oxford University Press, New York, 1987 53. Crooks G.E., Man the Jarziynski relation for dissipative

La irreversibilidad Referencias 169

, theorem for

93, 10002,

of critical

'icano,

over

121. Prigogine I. and Nicolis G., "Exploring Complexity an Introduction", W.H Freeman

and company, New York, 1989

122. Prigogine I., "The end of Certainty Time's flow and the laws of nature" , 1996.

123. Prigogine I., "EI tiempo y el devenir", propiedades macroscopicas de los

fenomenos reversibles : Paul Gransdorff, Gedisa, 1988.

124. Prigogine I. and Stengers: "Metamorfosis de la Ciencia" . Alianza Editorial, Madrid,

1994.

125. Prigogine I., and Stengers: "Entre el tiempo y la eternidad". Alianza Editorial,

Madrid, 1994.

126. Prigogine I., EI fin de las Certidumbres, Ed . Andres bello, Santiago de Chile, 1998.

127. Sametband Moises Jose, Entre el Orden y el Caos: La Complejidad, 2 ed . Fondo de

Cultura Economica, Mexico, 1999.

128. Silvestrini Vittorio, Que es la Entropia, ED. Norma, Santafe de Bogota, 1998

129. Von Foerster H., Las Semillas de la Cibernetica Ed . Gedisa, Barcelona, Espana,

1996.

130. Wagensberg J., Ideas sobre 10 Complejidad del Mundo 3 ed . Tusquets Editores,

Espana, 1994