Abstract
We develop a method which recognizes the onset and breakdown of the macroscopic description in microscopic simulations. The method is based on the invariance of the macroscopic dynamics relative to the microscopic dynamics, and it is demonstrated for a model of dilute polymeric solutions where it decides switching between Direct Brownian Dynamics simulations and integration of constitutive equations.
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References
E. H. Hauge, Phys. Fluids 13, 1201 (1970).
A. N. Gorban and I. V. Karlin, Phys. Rev. Lett. 77,282 (1996)
I. V. Karlin, G. Dukek and T. Nonnenmacher, Phys. Rev. E 55, 1573 (1997)
I. V. Karlin, G. Dukek and T. Nonnenmacher, Phys. Rev. E 57, 3674
A. N. Gorban and I. V. Karlin, Transport Theory Stat. Phys. 23, 559 (1994).
G. Lielens, P. Halin, I. Jaumin, R. Keunings, V. Legat, J. Non-Newtonian Fluid Mech. 76, 249 (1998).
P. Ilg, I. V. Karlin and H. C. Öttinger, Phys. Rev. E 90, 5783 (1999).
A. N. Gorban, I. V. Karlin, P. Ilg, and H. C. Öttinger, J. Non-Newton. Fluid Mech. 96, 203 (2001).
P. Ilg, and I. V. Karlin, Phys. Rev. E 62, 1441 (2000).
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© 2003 Springer Science+Business Media New York
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Karlin, I.V., Ilg, P., Öttinger, H.C. (2003). Invariance Principle to Decide Between Micro and Macro Computations. In: Macias, A., Uribe, F., Diaz, E. (eds) Developments in Mathematical and Experimental Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0199-2_3
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DOI: https://doi.org/10.1007/978-1-4615-0199-2_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4963-1
Online ISBN: 978-1-4615-0199-2
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