Transport process of ions in insulating media in the hyperbolic diffusion regime

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

Volumn 81, Issue 5, 2010, Pages

  Barbero, G ^a   MacDonald, J Ross ^b  

^a POLITECNICO DI TORINO   (Italy)

^b UNIVERSITY OF NORTH CAROLINA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPLIED VOLTAGES; CONCENTRATION GRADIENTS; DEBYE RELAXATION TIME; DELAY TIME; DIFFUSING PARTICLES; DIFFUSION CURRENTS; DIFFUSION REGIMES; ELECTRICAL IMPEDANCE; EXTENDED THERMODYNAMICS; FICK'S LAW; FINITE SPEED; GRADIENT OF CONCENTRATION; HIGH FREQUENCY; IMAGINARY PARTS; INSULATING MEDIA; MICROSCOPIC THEORY; MOBILE CHARGE CARRIERS; POISSON-NERNST-PLANCK THEORIES; PROPAGATION SPEED; REAL PART; SMALL SIGNAL; TRANSPORT PROCESS;

DIFFUSION; MATERIALS PROPERTIES;

DIELECTRIC MATERIALS;

EID: 77952032986     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.051503     Document Type: Article

References (42)

1. J. R. Macdonald, Phys. Rev. 92, 4 (1953). 10.1103/PhysRev.92.4
2. J. R. Macdonald, J. Chem. Phys. 58, 4982 (1973) 10.1063/1.1679086
3. J. R. Macdonald, J. Chem. Phys. 60, 343 (1974). 10.1063/1.1680804
4. J. R. Macdonald and D. R. Franceschetti, J. Chem. Phys. 68, 1614 (1978). 10.1063/1.435929
5. J. R. Macdonald, J. Electroanal. Chem. 32, 317 (1971). 10.1016/S0022-0728(71)80136-5
6. / 2. 10.1149/1.2096251
7. E. L. Cussler, Diffusion: Mass Transfer in Fluid System (Cambridge University Press, Cambridge, 1985).
8. J. R. Macdonald and M. K. Brachman, J. Chem. Phys. 22, 1314 (1954). 10.1063/1.1740389
9. J. R. Macdonald, J. Chem. Phys. 30, 806 (1959). 10.1063/1.1730049
10. D. R. Franceschetti and J. R. Macdonald, J. Appl. Phys. 50, 291 (1979). 10.1063/1.325658
11. D. R. Franceschetti, J. R. Macdonald, and R. Buck, J. Electrochem. Soc. 138, 1368 (1991). 10.1149/1.2085788
12. J. R. Macdonald, J. Chem. Phys. 61, 3977 (1974). 10.1063/1.1681691
13. J. R. Macdonald, Electrochim. Acta 37, 1007 (1992). 10.1016/0013-4686(92) 85216-8
14. R. Metzler and J. Klafer, Phys. Rep. 339, 1 (2000). 10.1016/S0370- 1573(00)00070-3
15. R. Metzler and J. Klafer, J. Phys. A 37, R161 (2004). 10.1088/0305-4470/37/31/R01
16. T. Kosztolowicz, K. Dworecki, and S. Mrowczynski, Phys. Rev. Lett. 94, 170602 (2005). 10.1103/PhysRevLett.94.170602
17. T. Kosztolowicz, K. Dworecki, and S. Mrowczynski, Phys. Rev. E 71, 041105 (2005). 10.1103/PhysRevE.71.041105
18. T. Kosztolowicz and K. D. Lewandowska, J. Phys. A 42, 055004 (2009). 10.1088/1751-8113/42/5/055004
19. A. Compte and R. Metzler, J. Phys. A 30, 7277 (1997). 10.1088/0305-4470/30/21/006
20. C. Criado, V. Galan Montenegro, P. Velasquez, and J. R. Ramos Barrado, J. Electroanal. Chem. 488, 59 (2000). 10.1016/S0022-0728(00)00188-1
21. J. R. Ramos-Barrado, P. Galan Montenegro, and C. Criado Gambon, J. Chem. Phys. 105, 2813 (1996). 10.1063/1.472806
22. K. D. Lewandoska and T. Kosztolowicz, Acta Phys. Pol. B 39, 1211 (2008).
23. J. C. Maxwell, Philos. Trans. R. Soc. London 157, 49 (1867). 10.1098/rstl.1867.0004
24. G. Cattaneo, Atti Semin. Mat. Fis. Univ. Modena 3, 83 (1948).
25. W. Kaminski, ASME J. Heat Transfer 112, 555 (1990). 10.1115/1.2910422
26. V. Smirnov, " Cours de Mathematiques Superieures, " Tome II (MIR, Moscou, 1970).
27. P. W. Atkins, Physical Chemistry (Oxford University Press, Oxford, 2004).
28. G. Barbero and A. L. Alexe-Ionescu, Liq. Cryst. 32, 943 (2005). 10.1080/02678290500228105
29. G. H. Weiss, Physica A 311, 381 (2002). 10.1016/S0378-4371(02)00805-1
30. D. D. Joseph and L. Preziosi, Rev. Mod. Phys. 61, 41 (1989) 10.1103/RevModPhys.61.41
31. D. D. Joseph and L. Preziosi, Rev. Mod. Phys. 62, 375 (1990). 10.1103/RevModPhys.62.375
32. M. Bojinov, K. Salmi, and G. Sundholm, J. Electroanal. Chem. 347, 207 (1993). 10.1016/0022-0728(93)80089-Z
33. M. Bojinov, J. Electroanal. Chem. 405, 15 (1996). 10.1016/0022-0728(95) 04392-6
34. V. Alonzo, J. P. Diard, F. Berthier, and V. Seignole, J. Chim. Phys. 94, 1763 (1997).
35. J. Lee, Ch. Eickes, M. Eiswirth, and G. Ertl, Electrochim. Acta 47, 501 (2001). 10.1016/S0013-4686(01)00744-7
36. J. Lee, Ch. Eickes, M. Eiswirth, and G. Ertl, Electrochim. Acta 47, 2297 (2002). 10.1016/S0013-4686(02)00075-0
37. S. Nakanishi, S.-I. Sakai, M. Hatou, Y. Mukouyama, and Y. Nakato, J. Phys. Chem. B 106, 2287 (2002). 10.1021/jp013275p
38. A. Sadkowski, J. Electroanal. Chem. 573, 241 (2004). 10.1016/j.jelechem. 2004.07.009
39. A. Sadkowski, Solid State Ionics 176, 1987 (2005). 10.1016/j.ssi.2004.08. 041
40. P. Lunkenheimer, A. Pimenov, M. Dressel, B. Schiener, U. Schneider, and A. Loidl, Prog. Theor. Phys. 126, 123 (1997). 10.1143/PTPS.126.123
41. P. Lunkenheimer and A. Loidl, J. Non-Cryst. Solids 352, 4556 (2006). 10.1016/j.jnoncrysol.2006.02.133
42. J. R. Macdonald, J. Phys. Chem. B 113, 9175 (2009). 10.1021/jp9026095