Journal
Article title
Title variants
Languages of publication
Abstracts
Polyethylene Glycol has an irregular current characteristic under constant voltage and slowly varying relative humidity. The current through a thin film of Gamma-isocyanatopropyltriethoxysilane added Polyethylene glycol (PEG-Si), its hydrogenated and hydrophobically modified forms, as a function of increasing relative humidity at equal time steps is analyzed for chaoticity. We suggest that the irregular behavior of current through PEG-Si thin films as a function of increasing relative humidity could best be analyzed for chaoticity using both time series analysis and detrended uctuation analysis; the relative humidity is kept as a slowly varying parameter. The presence of more then one regime is suggested by the calculation of the maximal Lyapunov exponents. Furthermore, the maximal Lyapunov exponent in each of the regimes was positive, thus confirming the presence of low dimensional chaos. DFA also confirms the presence of at least two different regimes, in agreement with the behavior of the maximal Lyapunov exponent in the time series analysis. We also suggest that the irregular behavior of the current through PEG-Si can be reduced by hydrogenating and hydrophobically modifying PEG-Si and the improvement in stability can be confirmed by our study.
Discipline
- 05.: Statistical physics, thermodynamics, and nonlinear dynamical systems(see also 02.50.-r Probability theory, stochastic processes, and statistics)
- 05.10.-a: Computational methods in statistical physics and nonlinear dynamics(see also 02.70.-c in mathematical methods in physics)
- 05.45.-a: Nonlinear dynamics and chaos(see also section 45 Classical mechanics of discrete systems; for chaos in fluid dynamics, see 47.52.+j; for chaos in superconductivity, see 74.40.De)
- 05.45.Tp: Time series analysis
- 61.25.hp: Polymer swelling, cross linking
Journal
Year
Volume
Issue
Pages
568-574
Physical description
Dates
published
1 - 9 - 2009
online
25 - 6 - 2009
Contributors
author
- Department of Physics, Boğgaziçi University, İstanbul, Turkey, kaan.atak@gmail.com
author
author
- Department of Information Systems and Technologies, Yeditepe University, İstanbul, Turkey
author
author
- Department of Physics, Boğgaziçi University, İstanbul, Turkey
References
- [1] H. D. I. Abarbanel, R. Brown, J. J. Sidorowich, L. S. Tsimring, Rev. Mod. Phys., 65, 1331, (1993) http://dx.doi.org/10.1103/RevModPhys.65.1331[Crossref]
- [2] O. Erdamar, Y. Skarlatos, G. Aktas, M. N. Inci, Appl. Phys. A, 83, 159, (2006) http://dx.doi.org/10.1007/s00339-005-3481-0[Crossref]
- [3] R. Hegger, H. Kantz, T. Schreiber, Chaos, 94, 413, (1999) http://dx.doi.org/10.1063/1.166424[Crossref]
- [4] H. D. I. Abarbanel, R. Brown, J. J. Sidorowich, L. S. Tsimring, Rev. Mod. Phys., 65, 1331, (1993) http://dx.doi.org/10.1103/RevModPhys.65.1331[Crossref]
- [5] H. D. I. Abarbanel, Analysis of Observed Chaotic Data (Springer Verlag, New York, 1996) http://dx.doi.org/10.1007/978-1-4612-0763-4[Crossref]
- [6] A. M. Fraser, H. L. Swinney, Phys. Rev. A, 33, 1134, (1986) http://dx.doi.org/10.1103/PhysRevA.33.1134[Crossref]
- [7] H. Kantz, T. Schreiber, Nonlinear Time Series Analysis (Cambridge University Press, United Kingdom, 1997)
- [8] M. B. Kennel, R. Brown, H. D. I. Abarbanel, Phys. Rev. A, 45, 3403, (1992) http://dx.doi.org/10.1103/PhysRevA.45.3403[Crossref]
- [9] A. Wolf, J. B. Swift, H. L. Swinney, J.A. Vastano, Physica D, 16, 285, (1985) http://dx.doi.org/10.1016/0167-2789(85)90011-9[Crossref]
- [10] H. D. I. Abarbanel, R. Brown, M. B. Kennnel, J. Nonlinear Sci., 1, 175, (1991) http://dx.doi.org/10.1007/BF01209065[Crossref]
- [11] M. Sano, Y. Sawada, Phys. Rev. Lett., 55, 1082, (1985) http://dx.doi.org/10.1103/PhysRevLett.55.1082[Crossref]
- [12] J. P. Eckmann, S. O. Komphorst, D. Ruelle, S. Ciliberto, Phys. Rev. A, 34, 4971, (1986) http://dx.doi.org/10.1103/PhysRevA.34.4971[Crossref]
- [13] A. Hacinliyan, Y. Skarlatos, G. Sahin, G. Akin, Chaos Soliton. Fract., 17, 575, (2003) http://dx.doi.org/10.1016/S0960-0779(02)00400-9[Crossref]
- [14] H. Kantz, Phys. Lett. A, 185, 77, (1994) http://dx.doi.org/10.1016/0375-9601(94)90991-1[Crossref]
- [15] A. Hacinliyan, Y. Skarlatos, H. A. Yildirim, G. Sahin, Phys. Rev. B, 73, 134302, (2006) http://dx.doi.org/10.1103/PhysRevB.73.134302[Crossref]
- [16] C. K. Peng et al., Phys. Rev. E, 49, 1685, (1994) http://dx.doi.org/10.1103/PhysRevE.49.1685[Crossref]
- [17] C. K. Peng, S. Havlin, H. E. Stanley, A. L. Goldberger, Chaos, 5, 82, (1995) http://dx.doi.org/10.1063/1.166141[Crossref]
- [18] K. Hu, P. Ch. Ivanov, Z. Chen, P. Carpena, H. E. Stanley, Phys. Rev. E, 64, 011114, (2001) http://dx.doi.org/10.1103/PhysRevE.64.011114[Crossref]
- [19] Z. Chen, P. Ch. Ivanov, K. Hu, H. E. Stanley, Phys. Rev. E, 65, 041107, (2002) http://dx.doi.org/10.1103/PhysRevE.65.041107[Crossref]
- [20] J. Crank, G. S. Park (Eds.), Diffusion in Polymers (Academic Press, London, 1968)
- [21] W. Chen, K. R. Shull, Macromolecules, 32, 136, (1999) http://dx.doi.org/10.1021/ma981331n[Crossref]
- [22] D. A. Seanor, Electrical Properties of Polymers (Academic Press, New York 1982)
- [23] S. K. Nayak, R. Ramasawamy, C. Chakravarty, Phys. Rev. E, 51, 3376, (1995) http://dx.doi.org/10.1103/PhysRevE.51.3376[Crossref]
- [24] J. Barre, T. Dauxois, Europhys. Lett., 55, 164, (2001) http://dx.doi.org/10.1209/epl/i2001-00396-3[Crossref]
- [25] H. Kitano et al., Langmuir, 17, 1889, (2000) http://dx.doi.org/10.1021/la0008986[Crossref]
- [26] V. Adamec, J. H. Calderwood, J. Phys. D., 11, 781, (1978) http://dx.doi.org/10.1088/0022-3727/11/6/002[Crossref]
- [27] M. Sozanski, J. Zebrowski, Acta Phys. Pol. B, 36, 1803, (2005)
- [28] G. F. Zebende et al., Physica A, 342, 322, (2004) http://dx.doi.org/10.1016/j.physa.2004.01.071[Crossref]
- [29] A. Hacinliyan, Y. Skarlatos, H. A. Yildirim, G. Sahin, Fractals, 14, 125, (2006) http://dx.doi.org/10.1142/S0218348X0600309X[Crossref]
- [30] V. Giaretto, G. Ruscica, E. Miraldi, Mod. Phys. Lett. B, 8, 965, (1994) http://dx.doi.org/10.1142/S0217984994000972[Crossref]
- [31] A. Hacinliyan, Y. Skarlatos, G. Sahin, K. Atak, O. O. Aybar, Eur. Phys. J. E (in press)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0034-8