Temporal Correlations and Inelastic Dynamics in a Vibrated Binary Granular Mixture

Fuente: arXiv
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Auteurs principaux: Shah, Rameez Farooq, Ahmad, Syed Rashid, Kumari, Shikha
Format: Preprint
Publié: 2025
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author Shah, Rameez Farooq
Ahmad, Syed Rashid
Kumari, Shikha
author_facet Shah, Rameez Farooq
Ahmad, Syed Rashid
Kumari, Shikha
contents We investigate the dynamics of binary mixtures of inelastic particles through event-driven molecular dynamics simulations, focusing on velocity autocorrelation functions (VACFs). The study examines two distinct particle types under varying inelasticity conditions, systematically analyzing coefficients of restitution (CoR) ranging from 0.80 to 0.95. Like-particle interactions (AA and BB) maintain equal CoR values, while unlike-particle interactions (AB) are assigned the average CoR. The simulation framework incorporates a vibrating base system to maintain energy input and system stability. Our analysis reveals significant differences in VACF decay rates between Type 1 and Type 2 particles, demonstrating non-equipartition of energy within the binary mixture. The degree of this disparity is strongly influenced by the coefficient of restitution, with lower CoR values leading to more pronounced differences between particle types. These findings provide insights into the complex dynamics of granular gases and the role of inelasticity in energy distribution within binary mixtures. Our study contributes to the understanding of non-equilibrium statistical mechanics in granular systems and has potential implications for industrial processes involving particulate materials, such as fluidized beds and pneumatic conveying systems.
format Preprint
id arxiv_https___arxiv_org_abs_2503_01414
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Temporal Correlations and Inelastic Dynamics in a Vibrated Binary Granular Mixture
Shah, Rameez Farooq
Ahmad, Syed Rashid
Kumari, Shikha
Soft Condensed Matter
Computation
We investigate the dynamics of binary mixtures of inelastic particles through event-driven molecular dynamics simulations, focusing on velocity autocorrelation functions (VACFs). The study examines two distinct particle types under varying inelasticity conditions, systematically analyzing coefficients of restitution (CoR) ranging from 0.80 to 0.95. Like-particle interactions (AA and BB) maintain equal CoR values, while unlike-particle interactions (AB) are assigned the average CoR. The simulation framework incorporates a vibrating base system to maintain energy input and system stability. Our analysis reveals significant differences in VACF decay rates between Type 1 and Type 2 particles, demonstrating non-equipartition of energy within the binary mixture. The degree of this disparity is strongly influenced by the coefficient of restitution, with lower CoR values leading to more pronounced differences between particle types. These findings provide insights into the complex dynamics of granular gases and the role of inelasticity in energy distribution within binary mixtures. Our study contributes to the understanding of non-equilibrium statistical mechanics in granular systems and has potential implications for industrial processes involving particulate materials, such as fluidized beds and pneumatic conveying systems.
title Temporal Correlations and Inelastic Dynamics in a Vibrated Binary Granular Mixture
topic Soft Condensed Matter
Computation
url https://arxiv.org/abs/2503.01414