Statistical properties of the gravitational force in a random homogeneous medium Article Swipe
We discuss the statistical distribution of the gravitational (Newtonian) force exerted on a test particle in a infinite random and homogeneous gas of non-correlated particles (stars, galaxies, ...) where the first configuration of particles in space is a Poisson distribution. The exact solution is known as the Holtsmark distribution at the limit of infinite system corresponding to the number of particle N within the volume and the volume go to infinity. The statistical behavior of the gravitational force for scale comparable to the inter-distance particle can be analyzed through the combination of the n-th nearest neighbor particle contribution to the total gravitational force, which can be derived from the joint probability density of location for a set of N particles. We investigate two independent approaches to derive the joint probability density of location for a set of N neighbors using integral forms and order statistics to give a general expression of such probability distribution with generalized dimension of space d.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://hal.science/hal-02551263
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4307323759
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W4307323759Canonical identifier for this work in OpenAlex
- Title
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Statistical properties of the gravitational force in a random homogeneous mediumWork title
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2020Year of publication
- Publication date
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2020-04-22Full publication date if available
- Authors
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Constantin PayerneList of authors in order
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https://hal.science/hal-02551263Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://hal.science/hal-02551263Direct OA link when available
- Concepts
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Homogeneous, Gravitational force, Gravitation, Statistical analysis, Statistical physics, Mathematics, Physics, Classical mechanics, StatisticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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