Modeling for Process Control: High-Dimensional Systems Page: 4 of 5
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in physics community. We participated in writing the Encyclopedia for Nonlinear Science
for which we have written an article "Avalanches" . We also prepared a monograph
"Granular patterns"  which is scheduled for publication by Oxford University Press in
In the course of work within this grant we developed a number of theoretical models and
algorithms which significantly advanced the fields of nonlinear dynamics, pattern formation,
and granular physics. Our result have been published in 12 papers in leading international
journals including Physical Review Letters, Physical Review, Review of Modern Physics,
Geophysical Research Letters, New Journal of Physics. Our algorithms were implemented in
MFIX (Multiphase Flow with Interphase eXchanges) code developed at the National Energy
Technology Laboratory. We continued and established new productive collaborations with a
number of institutions, including Argonne National Laboratory, University of Texas, Clark
University, Paris University, etc.
One postdocs has been trained with the support of this grant (Dmitri Volfson).
 I. S. Aranson and L. S. Tsimring. Patterns and collective behavior in granular media:
Theoretical concepts. Rev. Mod. Phys., 78:641-692, 2006.
 I.S. Aranson and L.S. Tsimring. Pattern formation of microtubules and motors: Inelastic
interaction of polar rods. Phys. Rev. E, 71(5):050901, 2005.
 I.S. Aranson and L.S. Tsimring. Theory of self-assembly of microtubules and motors.
Phys. Rev. E, 74(3):031915, 2006.
 I.S. Aranson and L.S. Tsimring. Granular Patterns. Oxford Univ. Press, 2008.
 I.S. Aranson, D. Volfson, and L.S. Tsimring. Swirling motion in a system of vibrated
elongated particles. Phys. Rev. E, 75:051301, 2007.
 S. Dorbolo, D. Volfson, L. Tsimring, and A. Kudrolli. Dynamics of a bouncing dimer.
Phys. Rev. Lett., 95:044101, 2005.
 D. Karpeev, I.S. Aranson, L.S. Tsimring, and H.G. Kaper. Interactions of semiflexible
filaments and molecular motors. Phys. Rev. E, 76(5):51905, 2007.
 A. Kudrolli, G. Lumay, D. Volfson, and L. S. Tsimring. Swarming and swirling in
self-propelled polar granular rods. Phys. Rev. Lett., 100:058001, 2008.
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Tsimring, Lev S. Modeling for Process Control: High-Dimensional Systems, report, September 15, 2008; United States. (digital.library.unt.edu/ark:/67531/metadc898293/m1/4/: accessed October 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.