Recent Publications

1. E. Kenig, R. Lifshitz, and M. C. Cross Pattern selection in parametrically-driven arrays of nonlinear resonators , preprint submitted to Phys. Rev. E

2. R. Lifshitz and M. C. Cross Nonlinear dynamics of nanomechanical and micromechanical resonators, in Review of Nonlinear Dynamics and Complexity, ed. H. G. Schuster (Wiley, 2008)

3. M. R. Paul, M. I. Einarsson, P. F. Fischer, and M. C. Cross, Extensive chaos in Rayleigh-Benard convection, Phys. Rev. E75, 045203 (2007)

4. T. Carmon, M. C. Cross, and K. J. Vahala, Chaotic quivering of micron-scaled on-chip resonators excited by centrifugal optical pressure, Phys. Rev. Lett. 98, 167203 (2007)

5. J. D. Scheel and M. C. Cross, Lyapunov exponents for small aspect ratio Rayleigh-Benard convection, Phys. Rev. E74, 066301 (2006)

6. M. R. Paul, M. T. Clark, and M. C. Cross, The stochastic dynamics of micron and nanoscale elastic cantilevers in fluid: fluctuations from dissipation, Nanotechnology 17, 4502 (2006)

7. N. Becker, J. D. Scheel, M. C. Cross, and G. Ahlers, Effect of the centrifugal force on domain chaos in Rayleigh-Benard convection, Phys. Rev. E73 066309 (2006)

8. R. Urban, A. Putilin, P. E. Wigen, S. H. Liou, M. C, Cross, P. C. Hammel, and M. L. Roukes, Perturbation of magnetostatic modes observed by ferromagnetic resonance force microscopy, Phys. Rev. B73, 212410 (2006)

9. M. C. Cross, J. L. Rogers, R. Lifshitz, and A. Zumdieck, Synchronization by reactive coupling and nonlinear frequency pulling, Phys. Rev. E73, 036205 (2006)

10. Y. Bromberg, M. C. Cross, and R. Lifshitz, Response of discrete nonlinear systems with many degrees of freedom, Phys. Rev. E73, 016214 (2006)

11. J. D. Scheel and M. C. Cross, Scaling laws for rotating Rayleigh-Benard convection Phys. Rev. E72, 056315 (2005)

12. K.-H. Chiam, M. C. Cross, H. S. Greenside, and P. F. Fischer, Enhanced Tracer Transport by the Spiral Defect Chaos State of a Convecting Fluid, Phys. Rev. E71, 036205 (2005)

13. M. C. Cross, A. Zumdieck, R. Lifshitz, and J. L. Rogers, Synchronization by nonlinear frequency pulling, Phys. Rev. Lett. 93, 224101 (2004)

14. M. R. Paul and M. C. Cross, The stochastic dynamics of nanoscale mechanical oscillators immersed in a viscous fluid, Phys. Rev. Lett. 92, 235501 (2004)

15. M. R. Paul, K-H. Chiam, M. C. Cross, P. F. Fischer, Rayleigh-Benard Convection in large-aspect-ratio domains, Phys. Rev. Lett. 93, 064503 (2004)

16. J. D. Scheel, M. R. Paul, M. C. Cross, and P. F. Fischer, Traveling waves in rotating Rayleigh-Benard convection: Analysis of modes and mean flow, Phys. Rev. E66, 06621 (2003)

17. D. H. Santamore, A. C. Doherty, and M. C. Cross, Quantum Nondemolition Measurement of Fock States of Mesoscopic Mechanical Oscillators, Phys. Rev. B70, 144301 (2004)

18. K. H. Chiam, M. R. Paul, M. C. Cross, and H. S. Greenside, Mean Flow and Spiral Defect Chaos in Rayleigh-Benard Convection, Phys. Rev. E67, 056206 (2003)

19. Z. Zheng and M. C. Cross, Defect-Induced Propagation in Excitable Media, Int. J. Bif. and Chaos 13, 3125 (2003)

20. R. Lifshitz and M. C. Cross, Response of Parametrically Driven Nonlinear Coupled Oscillators with Application to Micromechanical and Nanomechanical Resonator Arrays, Phys. Rev. B67, 134302 (2003)

21. M. R. Paul, M. C. Cross, P. F. Fischer, Rayleigh-Benard Convection with a Radial Ramp in Plate Separation, Phys. Rev. E66, 046210 (2002)

22. Z. Zheng, M. C. Cross, and G. Hu, Collective Directed Transport of Symmetrically Coupled Lattices in Symmetric Periodic Potentials, Phys. Rev. Lett. 89, 154102 (2002)

23. Z. Zheng, X. Wang, M. C. Cross, Transitions from Partial to Complete Generalized Synchronization in Bidirectionally Coupled Chaotic Oscillators, Phys. Rev. E65, 056211 (2002)

24. D. H. Santamore and M. C. Cross: Surface Scattering Analysis of Phonon Transport in the Quantum Limit Using an Elastic Model, Phys. Rev. B66, 144302 (2002)

25. D. H. Santamore and M. C. Cross, "Effect of Phonon Scattering by Surface Roughness on the Universal Thermal Conductance", Phys. Rev. Lett. 87, 115502 (2001)

26. M. R. Paul, M. C. Cross, P. F. Fischer, and H. S. Greenside "Power-Law Behavior of Power Spectra in Low Prandtl Number Rayleigh-Benard Convection", Phys. Rev. Lett. 87, 154501 (2001)

27. D. H. Santamore and M. C. Cross, "Effect of Surface Roughness on the Universal Thermal Conductance", Phys. Rev. B63, 184306 (2001)

28. M. C. Cross and Ron Lifshitz, "Elastic Wave Transmission at an Abrupt Junction in a Thin Plate, with Application to Heat Transport and Vibrations in Mesoscopic Systems", Phys. Rev. B64, 085324 (2001)

29. M. C. Cross, M. Louie, and D. Meiron, "Finite Size Scaling of Domain Chaos", Phys. Rev. E63, 45201 (2001)

30. M. C. Lai, K. H. Chiam, M. C. Cross, and H. S. Greenside "Simulating Complex Dynamics In Intermediate And Large-Aspect-Ratio Convection Systems", Proceedings of the 18th Symposium on Energy Engineering Sciences, Argonne National Lab., May 2000, download from Los Alamos archive

31. H. X. Tang, F. G. Monzon, Ron Lifshitz, M. C. Cross, and M. L. Roukes "Ballistic spin transport in a two-dimensional electron gas", Phys. Rev. B61, 4437 (2000)

32. S. Setayeshgar and M. C. Cross "Numerical Bifurcation Diagram for the Two-Dimensional Boundary-fed CDIMA System", Phys. Rev. E59, 4258 (1999)

33. S. Setayeshgar and M. C. Cross "Turing Instability in a Boundary-fed System", Phys. Rev. E58, 4485 (1998)

34. D.E. Angelescu, M.C. Cross, and M.L. Roukes, "Heat Transport in Mesoscopic Systems", Superlattices and Microstructures 23, 673 (1998) or download in Adobe Acrobat (pdf) format.

35. R.O. Grigoriev and M.C. Cross: "Controlling Physical Systems with Symmetries", Phys. Rev. E57, 1550 (1998)

36. R.O. Grigoriev, M.C. Cross and H.G. Shuster: "Pinning Control of Spatiotemporal Chaos", Phys. Rev. Lett. 79, 2795 (1997)

37. M.C. Cross: "Theoretical modelling of spiral chaos in Rayleigh-Benard convection", Physica D 97 65 (1996)

38. R. Grigoriev and M.C. Cross: "Dynamics of coupled maps with a conservation law": Chaos 7, 311 (1997)

39. P. Chen and M.C. Cross: "Mixing and thermal equilibrium in the dynamical relaxation of a vortex ring", Phys. Rev. Lett. 77, 4174 (1996)

40. P. Chen and M.C. Cross: "Complete phase diagram for coherent vortex formation in the 2-dimensional inviscid fluid in circular geometries", Phys. Rev E50 2022 (1994)

41. P. Chen and M.C. Cross: "Mean field equilibrium of single coherent vortex", Phys. Rev. E54 6356 (1996)

42. P. Chen and M.C. Cross: "Statistical two-vortex equilibrium and vortex merger", Phys. Rev. E 53, R3032 (1996)

43. M.C. Cross and Y. Tu: "Defect dynamics for spiral chaos in Rayleigh-Benard convection", Phys. Rev. Lett. 75, 834 (1995)

44. M.C. Cross and D.I. Meiron: "Domain coarsening in systems far from equilibrium", Phys. Rev. Lett. 75, 2152 (1995)

45. M.C. Cross and P.C. Hohenberg "Spatiotemporal chaos: a perspective", Science 263, 1569 (1994)

46. M.C. Cross, D. Meiron, and Y. Tu "Chaotic domains: a numerical investigation", Chaos 4, 607 (1994)