Galactic clustering under power-law modified Newtonian potential

Khanday, Abdul W.; Upadhyay, Sudhaker; Ganai, Prince A.

doi:10.1007/s10714-021-02832-0

Cited by 13 publications

(8 citation statements)

References 25 publications

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“…From this basic relation equation (20), we can determine the general form of distribution function for our system of galaxies. Using the partition function (19) with chemical potential equation (11) the distribution function takes the following form:…”

Section: A Comparison Of New and Old Clustering Parametermentioning

confidence: 99%

“…We can employ statistical methods to find the statistical distribution of matter at largest possible scales [8]. Recently there has been a lot of progress on the study of the effect of modified gravity theories on the clustering of galaxies through statistical methods [9][10][11][12][13][14][15][16][17][18]. The effect of the modifications incorporated has been anticipated in the strength of the clustering parameter b.…”

Section: Introductionmentioning

confidence: 99%

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Statistical description of galactic clusters in Finzi gravity model

Khanday¹,

Upadhyay²,

Ganai³

2022

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We exploit a new theory of gravity proposed by Finzi, which gives stronger interaction at large scales, to study the thermodynamic description of galaxy clusters. We employ a statistical model to deduce various thermodynamics equations of state. In addition, we analyze the behavior of clustering parameter in comparison to its standard (Newtonian) counterpart. The general distribution function and its behavior with varying strength of clustering parameter are also studied. The possibility of phase transition is also investigated and observed that a phase transition is possible though hierarchically.

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Section: A Comparison Of New and Old Clustering Parametermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Statistical description of galactic clusters in Finzi gravity model

Khanday¹,

Upadhyay²,

Ganai³

2022

Preprint

Self Cite

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“…The implications of these ideas are also consistent with observations. The statistical mechanical study of the structure formation and distribution in the universe has been studied rigorously in [5][6][7][8][9][10]. The authors have employed various modified gravity theories to study the effects of these modifications on the statistical properties of large scale structures in the universe.…”

Section: Introductionmentioning

confidence: 99%

A simplistic approach to the study of two-point correlation function in galaxy clusters

Qadri

Khanday

Ganai

2022

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We developed the functional form of the two-point correlation function under the approximation of fixed particle number density ¯n. We solved the quasi-linear partial differential equation (PDE) through the method of characteristics to obtain the parametric solution for the canonical ensemble. We attempted many functional forms and concluded that the functional form should be such that the two-point correlation function should go to zero as the value of system temperature increases or the separation between the galaxies becomes large. Also, we studied the graphical behavior of the developed two-point correlation function for large values of temperature T and spatial separation r. The behavior of the two-point function was also studied from the temperature measurement of clusters in the redshift range of 0.023 − 0.546.

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“…These models give enhanced gravitational force on scales relevant to structure formation and hence an enhanced structure formation on these scales. There has also been progress in studying the effect of modified Newtonian potential on the clustering of galaxies [10][11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Effect of nonfactorizable background geometry on thermodynamics of clustering of galaxies

Khanday,

Upadhyay,

Bagat

et al. 2022

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We study the effect of nonfactorizable background geometry on the thermodynamics of the clustering of galaxies. A canonical partition function is derived for the gravitating system of galaxies treated as point particles contained in cells of appropriate dimensions. Various thermodynamic equations of state, like Helmholtz free energy and entropy, among others, are also obtained. We also estimate the effect of the corrected Newton's law on the distribution function of galaxies. Remarkably, the effect of the modified Newton's law is seen only in the clustering parameter while the standard structure of the equations is preserved. A comparison of the modified clustering parameter (b * ) with that of the original clustering parameter is made to visualize the effect of the correction on the time scale of clustering. The possibility of system symmetry breaking is also analyzed by investigating the behavior of the specific heat with increasing system temperature.

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Galactic clustering under power-law modified Newtonian potential

Cited by 13 publications

References 25 publications

Statistical description of galactic clusters in Finzi gravity model

Statistical description of galactic clusters in Finzi gravity model

A simplistic approach to the study of two-point correlation function in galaxy clusters

Effect of nonfactorizable background geometry on thermodynamics of clustering of galaxies

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