Density waves in a system of non-interacting particles

E. J. Kolmes; V. I. Geyko; N. J. Fisch

doi:10.1016/j.physleta.2016.07.015

Density waves in a system of non-interacting particles

E. J. Kolmes, V. I. Geyko, N. J. Fisch

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

An ensemble of non-interacting bouncing balls being acted on by a constant gravitational force, starting at rest from a uniform density distribution, will develop a structure of sharply peaked density waves. We describe these waves by computing the density profile of such a system analytically, and we find that the analytical results are in good agreement with numerical findings. We suggest that in a real system, these density waves could be used to produce measurements of the strength of a gravitational field.

Original language	English (US)
Pages (from-to)	3061-3066
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	380
Issue number	38
DOIs	https://doi.org/10.1016/j.physleta.2016.07.015
State	Published - Sep 7 2016

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Keywords

Dynamical systems
Emergent phenomena
Gravity measurements
Nonlinear dynamics
Phase space evolution

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10.1016/j.physleta.2016.07.015

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title = "Density waves in a system of non-interacting particles",

abstract = "An ensemble of non-interacting bouncing balls being acted on by a constant gravitational force, starting at rest from a uniform density distribution, will develop a structure of sharply peaked density waves. We describe these waves by computing the density profile of such a system analytically, and we find that the analytical results are in good agreement with numerical findings. We suggest that in a real system, these density waves could be used to produce measurements of the strength of a gravitational field.",

keywords = "Dynamical systems, Emergent phenomena, Gravity measurements, Nonlinear dynamics, Phase space evolution",

author = "Kolmes, {E. J.} and Geyko, {V. I.} and Fisch, {N. J.}",

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T1 - Density waves in a system of non-interacting particles

AU - Kolmes, E. J.

AU - Geyko, V. I.

AU - Fisch, N. J.

PY - 2016/9/7

Y1 - 2016/9/7

N2 - An ensemble of non-interacting bouncing balls being acted on by a constant gravitational force, starting at rest from a uniform density distribution, will develop a structure of sharply peaked density waves. We describe these waves by computing the density profile of such a system analytically, and we find that the analytical results are in good agreement with numerical findings. We suggest that in a real system, these density waves could be used to produce measurements of the strength of a gravitational field.

AB - An ensemble of non-interacting bouncing balls being acted on by a constant gravitational force, starting at rest from a uniform density distribution, will develop a structure of sharply peaked density waves. We describe these waves by computing the density profile of such a system analytically, and we find that the analytical results are in good agreement with numerical findings. We suggest that in a real system, these density waves could be used to produce measurements of the strength of a gravitational field.

KW - Dynamical systems

KW - Emergent phenomena

KW - Gravity measurements

KW - Nonlinear dynamics

KW - Phase space evolution

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 38

ER -

Density waves in a system of non-interacting particles

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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