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dc.creatorMiller B.
dc.creatorManfredi G.
dc.creatorPirjol D.
dc.creatorRouet J. -L.
dc.date.accessioned2023-10-20T16:07:08Z
dc.date.available2023-10-20T16:07:08Z
dc.date.issued2023
dc.identifier.urihttps://doi.org/10.1088/1361-6382/acb8fb
dc.identifier.urihttps://repository.tcu.edu/handle/116099117/61272
dc.description.abstractThe gravitational force controls the evolution of the Universe on several scales. It is responsible for the formation of galaxies from the primordial matter distribution and the formation of planets from solar nebulae. Because the gravitational force is singular and has infinite range, making predictions based on fully three-dimensional models may be challenging. One-dimensional (1D) Newtonian gravity models were proposed as toy models for understanding the dynamics of gravitational systems. They can be integrated exactly and were used for computer simulations starting in the 1960s, providing the first demonstration of violent relaxation and the rapid development of long-lived quasi-stationary states (QSS). The present review provides the bases of the physics of 1D gravitational systems. It is divided into two main parts, the first concerning the approach to equilibrium and the second applications to cosmology. Each part is self-contained and can be read independently of the other. In the first part, we provide an introduction to the equilibrium thermodynamics of the one-dimensional gravitational sheet (OGS) system in the Vlasov limit. Both fixed and periodic boundary conditions are considered. The relaxation to equilibrium of the OGS is studied through numerical simulations which establish the role played by QSS and violent relaxation. We also survey existing work on the Lyapunov exponents of the OGS and on the chaotic dynamics of 1D systems with few particles, focusing on the 1D three-body problem. The second part summarizes work on dynamical structure formation in cosmology using 1D systems. By transforming to comoving coordinates, which follow the global expansion of the Universe, the 1D approach provides a useful laboratory for studying structure formation in various cosmological scenarios, from Einstein-de Sitter and ?CDM to more recent, alternative cosmological models. A key result is the appearance of scale-free behavior with fractal dimension, which can be reliably studied in 1D for large systems over many epochs. Finally, an appendix gives some details on the numerical simulation methods used in these studies. ¿ 2023 The Author(s). Published by IOP Publishing Ltd
dc.languageen
dc.publisherInstitute of Physics
dc.sourceClassical and Quantum Gravity
dc.subjectcomputer simulations
dc.subjectcosmology
dc.subjectdynamical systems
dc.subjectfractals
dc.subjectgravity
dc.subjectone-dimensional
dc.subjectVlasov
dc.titleFrom chaos to cosmology: insights gained from 1D gravity
dc.typeReview
dc.rights.licenseCC BY 4.0
local.collegeCollege of Science and Engineering
local.departmentPhysics and Astronomy
local.personsMiller (PHYS)


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