CHAOTIC DYNAMICS IN A SLOWLY ROTATING DRUM.

Recent computational work (Banigan et al., Nat. Phys. 9, 288 (2013)) has demonstrated that jamming and unjamming in a shear cell can be described in terms of chaotic dynamics. Experimental work (Wang etal., Sci. Rep. 5, 8128 (2015)) found that avalanches in a rotating drum behave consistently with t...

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Publicado en:Revista Cubana de Física Vol. 33; no. 1; pp. 50 - 55
Autores principales: MAGHSOODI, H., LULJTEN, E.
Formato: Artículo
Publicado: Universidad de La Habana July2016
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Acceso en línea:Ver este registro en EBSCOhost
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          MAGHSOODI, H.
          LULJTEN, E.
        affil:
          Graduate Program in Applied Physics, Northwestern University, Evanston, Illinois 60208, U.S.A
          Departments of Materials Science & Engineering, Applied Mathematics and Physics & Astronomy, Northwestern University, Evanston, Illinois 60208, U.S.A
      su:
        Chaos theory
        Granular flow
        Mixing
        Nonlinear dynamical systems
        Avalanches
      sug:
        subj:
          Chaos theory
          Granular flow
          Mixing
          Nonlinear dynamical systems
          Avalanches
      ab:
        Recent computational work (Banigan et al., Nat. Phys. 9, 288 (2013)) has demonstrated that jamming and unjamming in a shear cell can be described in terms of chaotic dynamics. Experimental work (Wang etal., Sci. Rep. 5, 8128 (2015)) found that avalanches in a rotating drum behave consistently with this description. We employ computer simulations to examine the chaotic dynamics accompanying granular avalanches in the rotating-drum system. These simulations directly evolve imposed perturbations and provide access to the largest short-time Lyapunov exponent. We find that the local chaotic properties of the system and its dynamics are indeed coupled; the system becomes chaotic as avalanches develop, and returns to a non-chaotic state as avalanches decay. Interestingly, the transition between chaotic and non-chaotic regimes lags behind the change in avalanche state. This contrasts with prior work on the shear cell, where the same force model yielded dynamics that becomes chaotic leading up to, rather than lagging behind, local reorganizations of disks.
        Trabajo computacional reciente (Banigan y col., Nat. Phys. 9, 288 (2013)) ha demostrado que el "jamming" y "unjamming" en una celda de cizalladura puede ser descrito en términos de dinámica caótica. Se ha encontrado experimentalmente (Wang y col.,Sci. Rep. 5, 8128 (2015)) que las avalanchas en un tabor rotatorio se comportan consistentemente con esta descripción. Utilizamos simulaciones computacionales para examinar la dinámica caótica que acompaña a las avalanchas granulares en el sistema de tambor rotatorio. Estas simulaciones involucran directamente perturbaciones impuestas, y permiten acceder al exponente más grande de Lyapunov de corto tiempo. Encontramos que las propiedades caóticas locales del sistema y su dinámica están, de hecho, acopladas; el sistema se vuelve caótico cuando se desarrollan las avalanchas, y retorna al estado no-caótico cuando éstas disminuyen. Resulta interesante que la transición entre los regímenes caótico y no-caótico va detrás del cambio del régimen de avalanchas. Esto contrasta con trabajos previos en la celda de cizalladura, donde el mismo modelo de fuerza resulta en una dinámica caotica que conduce, en vez de ser el resultado, a reorganizaciones locales de los discos.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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