By William L. Ditto, K. Murali, Sudeshna Sinha (auth.), Visarath In, Patrick Longhini, Antonio Palacios (eds.)

ISBN-10: 3540856315

ISBN-13: 9783540856313

This edited booklet is geared toward interdisciplinary, device-oriented, functions of nonlinear technology concept and techniques in advanced platforms. particularly, purposes directed to nonlinear phenomena with area and time features. Examples contain: complicated networks of magnetic sensor structures, coupled nano-mechanical oscillators, nano-detectors, microscale units, stochastic resonance in multi-dimensional chaotic platforms, biosensors, and stochastic sign quantization. "applications of nonlinear dynamics: version and layout of complicated platforms" brings jointly the paintings of scientists and engineers which are employing rules and techniques from nonlinear dynamics to layout and fabricate complicated systems.

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**Additional resources for Applications of Nonlinear Dynamics: Model and Design of Complex Systems**

**Example text**

94, 027005 (2005). K. Kim, M. S. Heo, K. H. , Phys. Rev. A 72, 053402 (2005). K. Kim, M. S. Heo, K. H. , Phys. Rev. Lett. 96, 150601 (2006). L. D. Landau and E. M. 1, (1969). I. Siddiqi, R. Vijay, F. , cond-mat/0507248 (2005). M. I. Dykman, I. B. Schwartz, and M. Shapiro, Phys. Rev. E 72, 021102 (2005). D. Ryvkine and M. I. Dykman, Phys. Rev. E 74, 061118 (2006). Quantum Nanomechanics Pritiraj Mohanty Abstract Quantum Nanomechanics is the emerging field which pertains to the mechanical behavior of nanoscale systems in the quantum domain.

2 Classical and Quantum Regimes As listed in Table 2, a nanomechanical structure is described by a number of characteristic length scales, important for describing its mechanical motion in either quantum or classical regime. In addition to the scales corresponding to geometry and acoustic phonon wavelength, thermal length defines how far a phonon, the mechanical mode of vibration, extends within the thermal time τβ = h¯ /kB T , where τβ represents the timescale for the system to reach equilibrium with the thermal bath at temperature T .

I. Dykman and D. Ryvkine for useful discussions. This work was supported by NSF DMR-0645448. References 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. D. Rugar and P. Grutter, Phys. Rev. Lett. 67, 699 (1991). D. W. Carr, S. Evoy, L. , Appl. Phys. Lett. 77, 1545 (2000). L. Sekaric, M. Zalalutdinov, R. B. , Appl. Phys. Lett. 81, 2641 (2002). W. H. Zhang, R. Baskaran, and K. L. Turner, Sensors and Actuators a-Physical 102, 139 (2002). M. I. Dykman and M. A. Krivoglaz, Zh. Eksper.

### Applications of Nonlinear Dynamics: Model and Design of Complex Systems by William L. Ditto, K. Murali, Sudeshna Sinha (auth.), Visarath In, Patrick Longhini, Antonio Palacios (eds.)

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