Fecha
2024-11-05
Editor/a
Director/a
Tutor/a
Coordinador/a
Prologuista
Revisor/a
Ilustrador/a
Derechos de acceso
info:eu-repo/semantics/openAccess
Título de la revista
ISSN de la revista
Título del volumen
Editor
De Gruyter Brill
Citas
0 citas en 
0 citas en 
Resumen
Intrinsic thermal fluctuations within a real solid challenge the rigid body assumption that is central to Euler’s equations for the motion of a free body. Recently, we have introduced a dissipative and stochastic version of Euler’s equations in a thermodynamically consistent way (European Journal of Mechanics – A/Solids 103, 105,184 (2024)). This framework describes the evolution of both orientation and shape of a free body, incorporating internal thermal fluctuations and their concomitant dissipative mechanisms. In the present work, we demonstrate that, in the absence of angular momentum, the theory predicts that the principal axes unit vectors of a body undergo an anisotropic Brownian motion on the unit sphere, with the anisotropy arising from the body’s varying moments of inertia. The resulting equilibrium time correlation function of the principal eigenvectors decays exponentially. This theoretical prediction is confirmed in molecular dynamics simulations of small bodies. The comparison of theory and equilibrium MD simulations allow us to measure the orientational diffusion tensor. We then use this information in the Stochastic Dissipative Euler’s Equations, to describe a non-equilibrium situation of a body spinning around the unstable intermediate axis. The agreement between theory and simulations is excellent, offering a validation of the theoretical framework
Descripción
This is a Submitted Manuscript of an article published by De Gruyter Brill in "Journal of Non-Equilibrium Thermodynamics, 50(1), (2025)", available at: https://doi.org/10.1515/jnet-2024-0029
Categorías UNESCO
Palabras clave
dissipative Euler’s equations, stochastic differential equations, coarse-graining theory
Citación
de la Torre, J., Sánchez-Rodríguez, J. & Español, P. (2025). Stochastic dissipative Euler’s equations for a free body. Journal of Non-Equilibrium Thermodynamics, 50(1), 127-147. https://doi.org/10.1515/jnet-2024-0029
Centro
Facultades y escuelas::Facultad de Ciencias
Departamento
FÍSICA FUNDAMENTAL