Phase transitions in vibrated granular media

Granular materials are collections of macroscopic particles interacting through their contacts. One finds them in various forms in nature, and for example, one of them, the sand, is the essential ingredient of modern constructions. It is estimated that granular matter is the most used material in th...

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Autor: Zuñiga Aguilera, René Ernesto
Tipo de recurso: tesis doctoral
Estado:Versión publicada
Fecha de publicación:2021
País:Chile
OAI Identifier:oai:repositorio.anid.cl:10533/249977
Acceso en línea:https://hdl.handle.net/10533/249977
Access Level:acceso abierto
Palabra clave:Ciencias Naturales
Ciencias Físicas
Otras Especialidades de la Física
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dc.title.es_CL.fl_str_mv Phase transitions in vibrated granular media
title Phase transitions in vibrated granular media
spellingShingle Phase transitions in vibrated granular media
Zuñiga Aguilera, René Ernesto
Ciencias Naturales
Ciencias Físicas
Otras Especialidades de la Física
title_short Phase transitions in vibrated granular media
title_full Phase transitions in vibrated granular media
title_fullStr Phase transitions in vibrated granular media
title_full_unstemmed Phase transitions in vibrated granular media
title_sort Phase transitions in vibrated granular media
dc.creator.none.fl_str_mv Zuñiga Aguilera, René Ernesto
author Zuñiga Aguilera, René Ernesto
author_facet Zuñiga Aguilera, René Ernesto
author_role author
dc.contributor.advisor.none.fl_str_mv Varas Siriany, Germán Enrique
Job, Stéphane
Choley, Jean-Yves
dc.contributor.institution.es_CL.fl_str_mv PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO
dc.subject.oecd1n.es_CL.fl_str_mv Ciencias Naturales
topic Ciencias Naturales
Ciencias Físicas
Otras Especialidades de la Física
dc.subject.oecd2n.es_CL.fl_str_mv Ciencias Físicas
dc.subject.oecd3n.es_CL.fl_str_mv Otras Especialidades de la Física
description Granular materials are collections of macroscopic particles interacting through their contacts. One finds them in various forms in nature, and for example, one of them, the sand, is the essential ingredient of modern constructions. It is estimated that granular matter is the most used material in the industry after air and water. A single particle is easy to describe; however, a set of particles has a complex collective behavior. For example, a collection of grains can withstand stress on it, but by delivering some energy to the system, the same set can flow like a liquid. This property, similar to that of molecular fluids, is the main object of study in this thesis. Thermodynamically, the phase transitions are controlled through the temperature of the system. Similarly, in vibrated granular media, there is a temperature analog, which quantifies the fluctuations of the particles, and that is proportional to the vibrational energy injected in the system. It is thus possible to move from a solid-granular phase to a liquid-granular one just by increasing the amplitude of the motion imposed to a container filled with particles. In contrast, in this thesis, we aim at studying the phase transition of a vertically vibrated granular medium, maintaining the acceleration (energy) constant but modifying the geometry of the container. The geometry is modified by including a V-shaped template at the bottom of the cell. In this way, one can induce more significant disorder by breaking the spontaneous symmetry generated by the mono-disperse spheres. A fast camera records the movement of the particles, and through image analysis, one can detect each of the particles over time. From the positions and the trajectories, it is possible to measure the velocity field, the number of near neighbors of each particle, the local compaction, and a local order parameter. All these parameters provide information on the existence of a phase transition between solid-like and fluid-like states. Practically, this allows one to study and link the dissipative aspects of the vibrated granular media, the statistics of the particles' motions and the topology of the lattice. Additionally, we perform simulations using the Discrete Element Method (DEM) to calculate the energy loss factor from collisions between particles and the container and corroborate our experimental observations.
publishDate 2021
dc.date.accessioned.none.fl_str_mv 2021-07-19T22:23:00Z
2022-08-23T12:55:26Z
dc.date.available.none.fl_str_mv 2021-07-19T22:23:00Z
2022-08-23T12:55:26Z
dc.date.issued.es_CL.fl_str_mv 2021
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spelling PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISOZuñiga Aguilera, René Ernesto2021https://hdl.handle.net/10533/249977http://purl.org/coar/access_right/c_abf2Otras Especialidades de la FísicaCiencias FísicasCiencias NaturalesPhase transitions in vibrated granular mediaVaras Siriany, Germán EnriqueJob, StéphaneCholey, Jean-YvesPONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISOChile/FranciaZuñiga Aguilera, René Ernesto2021-07-19T22:23:00Z2022-08-23T12:55:26Z2021-07-19T22:23:00Z2022-08-23T12:55:26Z2021Granular materials are collections of macroscopic particles interacting through their contacts. One finds them in various forms in nature, and for example, one of them, the sand, is the essential ingredient of modern constructions. It is estimated that granular matter is the most used material in the industry after air and water. A single particle is easy to describe; however, a set of particles has a complex collective behavior. For example, a collection of grains can withstand stress on it, but by delivering some energy to the system, the same set can flow like a liquid. This property, similar to that of molecular fluids, is the main object of study in this thesis. Thermodynamically, the phase transitions are controlled through the temperature of the system. Similarly, in vibrated granular media, there is a temperature analog, which quantifies the fluctuations of the particles, and that is proportional to the vibrational energy injected in the system. It is thus possible to move from a solid-granular phase to a liquid-granular one just by increasing the amplitude of the motion imposed to a container filled with particles. In contrast, in this thesis, we aim at studying the phase transition of a vertically vibrated granular medium, maintaining the acceleration (energy) constant but modifying the geometry of the container. The geometry is modified by including a V-shaped template at the bottom of the cell. In this way, one can induce more significant disorder by breaking the spontaneous symmetry generated by the mono-disperse spheres. A fast camera records the movement of the particles, and through image analysis, one can detect each of the particles over time. From the positions and the trajectories, it is possible to measure the velocity field, the number of near neighbors of each particle, the local compaction, and a local order parameter. All these parameters provide information on the existence of a phase transition between solid-like and fluid-like states. Practically, this allows one to study and link the dissipative aspects of the vibrated granular media, the statistics of the particles' motions and the topology of the lattice. 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