Thermodynamic paths and stochastic order in open systems

Physica A: Statistical Mechanics and its Applications

Volumn 392, Issue 18, 2013, Pages 3912-3919

  Lucia, Umberto ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Entropy generation; Irreversibility; Open systems; Stochastic order; Thermodynamic paths

Indexed keywords

ENTROPY; OPEN SYSTEMS; PHASE SPACE METHODS;

ENTROPY GENERATION; IRREVERSIBILITY; STATIONARY STATE; STOCHASTIC ORDER; THERMODYNAMIC PATH;

STOCHASTIC SYSTEMS;

EID: 84879688465     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2013.04.053     Document Type: Article

References (49)

1. J.L. Lebowitz, Boltzmann's Entropy and Large Deviation Lyapunov Functionals for Closed and Open Macroscopic Systems, Los Alamos 1112.1667, 2011. http://www.math.rutgers.edu/-lebowitz/PUBLIST/jllpub-559.pdf.
2. Q.A. Wang Maximum path information and the principle of least action for chaotic system Chaos, Solitons & Fractals 23 2004 1253
3. Q.A. Wang Non quantum uncertainty relations of stochastic dynamics Chaos, Solitons & Fractals 26 2005 1045
4. Q.A. Wang Maximum entropy change and least action principle for nonequilibrium systems Astrophysics and Space Sciences 305 2006 273
5. Q.A. Wang Probability distribution and entropy as a measure of uncertainty Journal of Physics. A. Mathematical and Theoretical 41 2008 065004
6. V. Sharma, and A. Annila Natural process - natural selection Biophysical Chemistry 127 2007 123 128
7. V. Sharma, V.R.I. Kaila, and A. Annila A protein folding as an evolutionary process Physica A 388 2009 851 862
8. A. Annila, and S. Salthe Physical foundations of evolutionary theory Journal of Non-Equilibrium Thermodynamics 35 2010 301 321
9. A. Annila All in action Entropy 12 2010 2333 2358
10. A. Annila, and S. Salthe Cultural naturalism Entropy 12 2010 1325 1343
11. U. Lucia Mathematical consequences and Gyarmati's principle in rational thermodynamics Il Nuovo Cimento B 110 10 1995 1227 1235
12. G. Grazzini, and U. Lucia Global analysis of dissipations due to irreversibility Revue Générale de Thermique 36 1997 605 609
13. U. Lucia Irreversibility entropy variation and the problem of the trend to equilibrium Physica A 376 2007 289 292
14. U. Lucia Entropy and exergy in irreversible renewable energy systems Renewable & Sustainable Energy Reviews 20 1 2013 559 564
15. U. Lucia Probability, ergodicity, irreversibility and dynamical systems Proceedings of the Royal Society A 464 2008 1089 1184
16. U. Lucia Maximum or minimum entropy generation for open systems? Physica A 391 12 2012 3392 3398
17. U. Lucia Irreversibility in biophysical and biochemical engineering Physica A 391 2012 5997 6007
18. U. Lucia Irreversible human brain Medical Hypothesis 80 2 2013 114 116
19. U. Lucia Entropy generation in technical physics Kuwait Journal of Science and Engineering 39 2A 2012 91 101
20. U. Lucia Stationary open systems: a brief review on contemporary theories on irreversibility Physica A 392 5 2013 1051 1062
21. U. Lucia Molecular machine as chemical-thermodynamic devices Chemical Physics Letters 556 2013 242 244
22. I.M. Gelfand, and S.V. Fomin Calculus of Variations 2000 Dover Publications Mineola, N.Y R.A. Silverman translation
23. V.I. Arnold Mathematical Methods of Classical Mechanics 1989 Springer-Verlag Berlin
24. B.H. Lavenda Thermodynamics of Irreversible Processes 1993 Dover Mineola, NY
25. C. Truesdell Rational Thermodynamics 1984 Springer-Verlag Berlin
26. A. Bejan Advance Engineering Thermodynamics 2006 John Wiley NJ
27. G. Gouy Sur les transformation et l'équilibre en Thermodynamique Comptes Rendus de l'Acadèmie des Sciences Paris 108 10 1889 507 509
28. G. Gouy Sur l'énergie utilisable Journal de Physique 8 1889 501 518
29. P. Duhem Sur les transformations et l'équilibre en Thermodynamique. Note de M.P. Duhem Comptes Rendus de l'Acadèmie des Sciences Paris 108 13 1889 666 667
30. G. Gouy Sur l'énergie utilisable et le potentiel thermodynamique. Note de M. Gouy Comptes Rendus de l'Acadèmie des Sciences Paris 108 10 1889 794
31. A. Stodola Steam Turbine 1905 Van Nostrand New York Translated by Louis C. Loewenstein
32. H. Primas Basic elements and problems of probability theory Journal of Scientific Exploration 13 4 1999 579 613
33. Q.A. Wang, From wirtual work principle to maximum entropy for nonequilibrium system, arXiv:0712.2583, 2007.
34. Q.A. Wang Nonextensive statistics and incomplete information The European Physical Journal B 26 2002 357 368
35. R. Dewar Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states Journal of Physics A (Mathematical and General) 36 2003 631 641
36. U. Lucia Statistical approach of the irreversible entropy variation Physica A 387/14 2008 3454 3460
37. U. Lucia Irreversibility, entropy and incomplete information Physica A 388 2009 4025 4033
38. U. Lucia Maximum entropy generation and κ-exponential model Physica A 389 2010 4558 4563
39. M. Shaked Stochastic Orders 2006 Springer New York
40. Q.A. Wang Incomplete information and fractal phase space Chaos, Solitons & Fractals 19 3 2004 639 644
41. V. García-Morales, and J. Pellicer Microcanonical foundation of non extensivity and generalized thermostatistics based on the fractality of the phase space Physica A 361 2006 161 172
42. E.N. Miranda Entropy generation in a chemical reaction European Journal of Physics 31 2 2010 267 272
43. K.G. Denbigh Note on entropy, disorder and disorganization The British Journal for the Philosophy of Science 40 1989 323 332
44. K.G. Denbigh The Many Faces of Irreversibility The British Journal for the Philosophy of Science 40 1989 501 518
45. I.N. Levine Physical Chemistry 2001 McGraw Hill New York
46. E. Albarràn-Zavala, and F. Angulo-Brown A simple thermodynamic analysis of photosynthesis Entropy 9 2007 152 168
47. G. Kaniadakis, M. Lissia, and A.M. Scarfone Two-parameter deformations of logarithm, exponential, and entropy: a consistent framework for generalized statistical mechanics Physical Review E (2) 71 4 2005 046128.1 046128.12
48. C. Tsallis Possible generalization of Boltzmann-Gibbs statistics Journal of Statistical Physics 52 1988 479 487
49. C. Tsallis Some comments on Boltzmann-Gibbs statistical mechanics Chaos, Solitons and Fractals 6 1995 539 559