Stochastic dynamics of collective modes for Brownian dipoles

The individual motion of a colloidal particle is described by an overdamped Langevin equation. When rotational degrees of freedom are relevant, these are described by a corresponding Langevin process. Our purpose is to show that the microscopic local density of colloids, in terms of a space and rota...

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Detalles Bibliográficos
Autores principales: Cugliandolo, L.F., Déjardin, P.-M., Lozano, G.S., Van Wijland, F.
Formato: JOUR
Materias:
Colloids
Degrees of freedom (mechanics)
Differential equations
Stochastic systems
Collective modes
Colloidal particle
Dynamical density functional theories
Langevin equation
Langevin process
Rotation state
Rotational degrees of freedom
Stochastic dynamics
Density functional theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v91_n3_p_Cugliandolo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_15393755_v91_n3_p_Cugliandolo
record_format dspace
spelling todo:paper_15393755_v91_n3_p_Cugliandolo2023-10-03T16:22:51Z Stochastic dynamics of collective modes for Brownian dipoles Cugliandolo, L.F. Déjardin, P.-M. Lozano, G.S. Van Wijland, F. Colloids Degrees of freedom (mechanics) Differential equations Stochastic systems Collective modes Colloidal particle Dynamical density functional theories Langevin equation Langevin process Rotation state Rotational degrees of freedom Stochastic dynamics Density functional theory The individual motion of a colloidal particle is described by an overdamped Langevin equation. When rotational degrees of freedom are relevant, these are described by a corresponding Langevin process. Our purpose is to show that the microscopic local density of colloids, in terms of a space and rotation state, also evolves according to a Langevin equation. The latter can then be used as the starting point of a variety of approaches, ranging from dynamical density functional theory to mode-coupling approximations. © 2015 American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v91_n3_p_Cugliandolo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Colloids
Degrees of freedom (mechanics)
Differential equations
Stochastic systems
Collective modes
Colloidal particle
Dynamical density functional theories
Langevin equation
Langevin process
Rotation state
Rotational degrees of freedom
Stochastic dynamics
Density functional theory
spellingShingle Colloids
Degrees of freedom (mechanics)
Differential equations
Stochastic systems
Collective modes
Colloidal particle
Dynamical density functional theories
Langevin equation
Langevin process
Rotation state
Rotational degrees of freedom
Stochastic dynamics
Density functional theory
Cugliandolo, L.F.
Déjardin, P.-M.
Lozano, G.S.
Van Wijland, F.
Stochastic dynamics of collective modes for Brownian dipoles
topic_facet Colloids
Degrees of freedom (mechanics)
Differential equations
Stochastic systems
Collective modes
Colloidal particle
Dynamical density functional theories
Langevin equation
Langevin process
Rotation state
Rotational degrees of freedom
Stochastic dynamics
Density functional theory
description The individual motion of a colloidal particle is described by an overdamped Langevin equation. When rotational degrees of freedom are relevant, these are described by a corresponding Langevin process. Our purpose is to show that the microscopic local density of colloids, in terms of a space and rotation state, also evolves according to a Langevin equation. The latter can then be used as the starting point of a variety of approaches, ranging from dynamical density functional theory to mode-coupling approximations. © 2015 American Physical Society.
format JOUR
author Cugliandolo, L.F.
Déjardin, P.-M.
Lozano, G.S.
Van Wijland, F.
author_facet Cugliandolo, L.F.
Déjardin, P.-M.
Lozano, G.S.
Van Wijland, F.
author_sort Cugliandolo, L.F.
title Stochastic dynamics of collective modes for Brownian dipoles
title_short Stochastic dynamics of collective modes for Brownian dipoles
title_full Stochastic dynamics of collective modes for Brownian dipoles
title_fullStr Stochastic dynamics of collective modes for Brownian dipoles
title_full_unstemmed Stochastic dynamics of collective modes for Brownian dipoles
title_sort stochastic dynamics of collective modes for brownian dipoles
url http://hdl.handle.net/20.500.12110/paper_15393755_v91_n3_p_Cugliandolo
work_keys_str_mv AT cugliandololf stochasticdynamicsofcollectivemodesforbrowniandipoles
AT dejardinpm stochasticdynamicsofcollectivemodesforbrowniandipoles
AT lozanogs stochasticdynamicsofcollectivemodesforbrowniandipoles
AT vanwijlandf stochasticdynamicsofcollectivemodesforbrowniandipoles
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