Electric currents in networks of interconnected memristors

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

Volumn 83, Issue 3, 2011, Pages

  Nedaaee Oskoee, Ehsan ^a   Sahimi, Muhammad ^b  

^a INSTITUTE FOR ADVANCED STUDIES IN BASIC SCIENCES IASBS   (Iran)

^b University of Southern California ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONNECTIVITY THRESHOLD; ELECTRICAL CIRCUIT; ELECTRICAL CURRENT; FIRST ORDER TRANSITIONS; LARGE SIZES; LINEAR RESISTORS; MEMORY EFFECTS; MEMRISTIVE BEHAVIOR; MEMRISTOR; MICRO-SCALES; NONLINEAR RESISTOR; NUMERICAL SIMULATION; OHMIC CONDUCTORS; OVERALL PROPERTIES; PASSIVE ELEMENTS; POTENTIAL APPLICATIONS; SCALE-UP; SECOND HARMONICS; STANDARD RESISTORS;

COMPUTER SIMULATION; MEMRISTORS; PASSIVE FILTERS; SEMICONDUCTING FILMS;

RESISTORS;

EID: 79953148246     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.031105     Document Type: Article

References (36)

1. L. O. Chua, IEEE Trans. Circuit Theory IECTAF 0018-9324 10.1109/TCT.1971.1083337 1, 507 (1971).
2. L. O. Chua and S. M. Kang, Proc. IEEE IEEPAD 0018-9219 10.1109/PROC.1976.10092 64, 209 (1976);
3. see also L. O. Chua, Proc. IEEE IEEPAD 0018-9219 10.1109/JPROC.2003. 818319 91, 1830 (2003); (Pubitemid 40890789)
4. M. Di Ventra, Y. V. Pershin, and L. O. Chua, e-print arXiv: 0901.3682v1;
5. Y. N. Joglekar and S. J. Wolf, Eur. J. Phys. EJPHD4 0143-0807 10.1088/0143-0807/30/4/001 30, 661 (2009).
6. D. B. Strukov, G. S. Snider, D. R. Stewart, and R. S. Williams, Nature (London) NATUAS 0028-0836 10.1038/nature06932 453, 80 (2008); (Pubitemid 351630336)
7. see also J. M. Tour and T. He, Nature (London) NATUAS 0028-0836 10.1038/453042a 453, 42 (2008). (Pubitemid 351630315)
8. J. Blanc and D. L. Staebler, Phys. Rev. B NATUAS 1098-0121 10.1103/PhysRevB.4.3548 4, 3548 (1971).
9. C. P. Collier, G. Mattersteig, E. W. Wong, Y. Luo, K. Beverly, J. Sampaio, F. M. Raymo, J. F. Stoddart, and J. R. Heath, Science SCIEAS 0036-8075 10.1126/science.289.5482.1172 289, 1172 (2000). (Pubitemid 30650726)
10. K. Terabe, T. Hasegawa, T. Nakayama, and M. Aono, Nature (London) NATUAS 0028-0836 10.1038/nature03190 433, 47 (2005); (Pubitemid 40101138)
11. J. H. A. Smits, S. C. J. Meskers, R. A. J. Janssen, A. W. Marsman, and D. M. de Leeuw, Adv. Mater. ADVMEW 0935-9648 10.1002/adma.200401534 17, 1169 (2005). (Pubitemid 40665826)
12. K. Szot, W. Speier, G. Bihlmayer, and R. Waser, Nature Mater. 1476-1122 10.1038/nmat1614 5, 312 (2006);
13. A. Sawa, T. Fujii, M. Kawasaki, and Y. Tokura, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2211147 88, 232112 (2006); (Pubitemid 43877735)
14. M. Hamaguchi, K. Aoyama, S. Asanuma, Y. Uesa, and T. Kasufuji, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2193328 88, 142508 (2006). (Pubitemid 43731497)
15. N. B. Zhitenev, A. Sidorenko, D. M. Tennant, and R. A. Cirelli, Nature Nanotechnol. APPLAB 1748-3387 10.1038/nnano.2007.75 2, 237 (2007). (Pubitemid 46739813)
16. J. J. Blackstock, W. F. Stickle, C. L. Donely, D. R. Stewart, and R. S. Williams, J. Phys. Chem. C APPLAB 1932-7447 10.1021/jp066266v 111, 16 (2007); (Pubitemid 46353187)
17. J. J. Yang, M. D. Pickett, X. Li, D. A. A. Ohlberg, D. R. Stewart, and R. S. Williams, Nature Nanotechnol. APPLAB 1748-3387 10.1038/nnano.2008.160 3, 429 (2008).
18. S. H. Jo, K.-H. Kim, and W. Lu, Nano Lett. NALEFD 1530-6984 10.1021/nl8037689 9, 870 (2009).
19. Y. V. Pershin and M. Di Ventra, Phys. Rev. B NALEFD 1098-0121 10.1103/PhysRevB.77.073301 77, 073301 (2008).
20. A. Hodgkin and A. Huxley, J. Physiol. 117, 500 (1952);
21. D. Johnston and S. Wu, Foundations of Cellular Neurophysiology (MIT Press, Cambridge, 1997);
22. see also T. Saigusa, A. Tero, T. Nakagaki, and Y. Kuramoto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.018101 100, 018101 (2008). (Pubitemid 351388317)
23. S. Kirkpatrick, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.45. 574 45, 574 (1973).
24. M. Sahimi, Heterogeneous Materials I (Springer, New York, 2003), Chap. 5 and 6.
25. J. Borghetti, Z. Li, J. Straznicky, X. Li, D. A. A. Ohlberg, W. Wu, D. R. Stewart, and R. S. Williams, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0806642106 106, 1699 (2009).
26. D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor & Francis, London, 1994);
27. M. Sahimi, Applications of Percolation Theory (Taylor & Francis, London, 1994).
28. For a review, see J. Adler, Physica A PHYADX 0378-4371 10.1016/0378-4371(91)90295-N 171, 453 (1991);
29. For the electrical properties of bootstrap percolation networks, see M. Sahimi and T. S. Ray, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1991162 1, 685 (1991).
30. J. V. Andersen, D. Sornette, and K.-t. Leung, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2140 78, 2140 (1997);
31. C. D. Mukherjee, K. K. Bardhan, and M. B. Heaney, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.1215 83, 1215 (1999);
32. C. D. Mukherjee and K. K. Bardhan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.025702 91, 025702 (2003);
33. C. Pennetta, Fluctuation Noise Lett. PRLTAO 0219-4775 10.1142/S0219477502000610 2, R29 (2002);
34. C. Pennetta, E. Alfinito, L. Reggiani, and S. Ruffo, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.04.030 340, 380 (2004).
35. J. C. Scott and L. D. Bozano, Adv. Mater. ADVMEW 0935-9648 10.1002/adma.200602564 19, 1452 (2007). (Pubitemid 47153147)
36. R. Waser and M. Aono, Nature Mater. 1476-1122 10.1038/nmat2023 6, 833 (2007). (Pubitemid 350064191)