Advection diffusion in nonchaotic closed flows: Non-Hermitian operators, universality, and localization

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

Volumn 70, Issue 4 2, 2004, Pages

  Giona, M ^a   Vitacolonna, V ^a   Cerbelli, S ^a   Adrover, A ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DIFFUSION; EIGENVALUES AND EIGENFUNCTIONS; INCOMPRESSIBLE FLOW; PERTURBATION TECHNIQUES; STATISTICAL METHODS; TENSORS; TRANSPORT PROPERTIES;

ASYMPTOTIC ANALYSIS; CHAOTIC FLOWS; DIFFUSIVITY; VELOCITY FIELDS;

FLUID DYNAMICS;

EID: 37649030351     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.046224     Document Type: Article

References (22)

1. G. T. Csanady, Turbulent Diffusion in the Environment (Reidel, Dordrecht, 1973).
2. J. Baldyga and J. R. Bourne, Turbulent Mixing and Chemical Reaction (Wiley, Chichester, 1999).
3. J. Villermaux, Rev. Chem. Eng. 7, 51 (1991).
4. G. K. Batchelor, J. Fluid Mech. 1, 177 (1956).
5. P. Castiglione, A. Mazzino, P. Muratore-Gianneschi, and A. Vulpiani, Physica D 134, 75 (1999).
6. T. Tel, G. Karolyi, A. Pentek, I. Sheuring, Z. Toroczkai, C. Grebogi, and J. Kadtke, Chaos 10, 89 (2000).
7. M. Giona, S. Cerbelli, and A. Adrover, J. Phys. Chem. 106, 5722 (2002).
8. S. Cerbelli, A. Adrover, and M. Giona, Phys. Lett. A 312, 355 (2003).
9. V. Toussaint, P. Carriere, and F. Raynal, Phys. Fluids 7, 2587 (1995).
10. V. Toussaint, P. Carriere, J. Scott, and J.-N. Gence, Phys. Fluids 12, 2834 (2000).
11. A. Fannjiang and G. Papanicolaou, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 54, 333 (1994).
12. S. Childress and A. M. Soward, J. Fluid Mech. 205, 99 (1989).
13. A. Bensoussan, J.-L. Lions, and G. Papanicolau, Asymptotic Analysis for Periodic Structures (North-Holland, Amsterdam, 1978).
14. S. Agmon, Lectures on Elliptic Boundary Value Problems (Van Nostrand, Princeton, 1965).
15. M. Faierman, "On the spectral theory of an elliptic boundary value problem involving an indefinite weight," in Operator Theory and Boundary Eigenvalue Problems, edited by I. Gohberg and H. Langer (Birkhäuser Verlag, Basel, 1995), pp. 137-154.
16. M. Liu, F.J. Muzzio, and R.L. Peskin, Chaos, Solitons Fractals 4, 869 (1994).
17. M. M. Alvarez, F. J. Muzzio, S. Cerbelli, A. Adrover, and M. Giona, Phys. Rev. Lett. 81, 3395 (1998).
18. L. Prandl and O. G. Tietjens, Fundamentals of Hydro- and Aeromechanics (Dover, New York, 1957).
19. N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1996).
20. N. Hatano and D. R. Nelson, Phys. Rev. B 56, 8651 (1997).
21. I. Ya. Goldsheid and B. Khoruzhenko, Electron. J. Probab. 5 (paper no. 16), 1 (2000).
22. A. Adrover, S. Cerbelli, and M. Giona, Comput. Chem. Eng. 26, 125 (2002).