Theoretical study of diffusion processes around a non-rotating neutron star

Andra, Doni; Rosyid, Muhammad Farchani

doi:10.1088/1742-6596/539/1/012005

Cited by 3 publications

(4 citation statements)

References 5 publications

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“…For asymptotic case, we found that there are new terms of θ and ϕ. It differences from the asymptotic case for the diffusion process around non-rotating neutron star [17]. In the non-rotating neutron case, the diffusion depends only on the radial coordinate as well as the 4-velocity.…”

Section: Diffusion Process Around Slowly Rotating Neutron Starmentioning

confidence: 67%

“…These equation is a stochastic differential equation which describes the diffusive particles dynamic around a slowly rotating neutron star. The derivation of these equation refers to Herrmann [15] and Andra [17]. Herrmann has generalized the Markovian diffusion theory in the phase space within the general theory of relativity framework.…”

Section: Diffusion Process Around Slowly Rotating Neutron Starmentioning

confidence: 99%

“…where where F α , F β , and F φ are given by equation (27). Similar with [17],it is very difficult to get a general solution of equation (33), the probability density function Φ(t, x, u). In addition to long differential equations, the probability density function also consists of seven parameters.…”

Section: Diffusion Process Around Slowly Rotating Neutron Starmentioning

confidence: 99%

“…By refering to Herrmann's work [15], Andra and Rosyid [17] have studied the general relativistic of diffusion process around neutron star, for the case non-rotating neutron star. They have constructed the relativistic Fokker-Plack equation that describes the particles dynamic undergoing diffusion around nonrotating neutron star.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical study of diffusion process around a slowly rotating neutron star

Andra¹,

Khasani²,

Hermanto³

et al. 2017

astp

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Relativistic diffusion process around a slowly rotating neutron star has been studied. In this article, we formulated the relativistic Fokker-Planck equation to describe the dynamic of particles undergoing diffusion around slowly rotating neutron star. This equation is derived both Doni Andra et al. in the parametrization of phase space proper time and the coordinate time. The relativistic Fokker-Planck equation is expressed in the hyperbolic coordinate system since the observation that the velocity space in special relativity is a noncompact hyperbolic 3-dimensional Riemannian manifold embedded into the 4-dimensional velocity Minkowski space.

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Section: Diffusion Process Around Slowly Rotating Neutron Starmentioning

confidence: 67%

Section: Diffusion Process Around Slowly Rotating Neutron Starmentioning

confidence: 99%

Section: Diffusion Process Around Slowly Rotating Neutron Starmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Theoretical study of diffusion process around a slowly rotating neutron star

Andra¹,

Khasani²,

Hermanto³

et al. 2017

astp

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Theoretical study of Maxwell’s solution of magnetic field dynamics around neutron star in the ZAMO (zero angular momentum observers) frame: Accreting and rapidly rotating cases

Yasrina

Andra

2020

International Conference on Electromagnetism, Rock Magnetism and Magnetic Material (Ice-R3m) 2019

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Theoretical study of interaction between matter and curvature fluid in the theory of f(R)-gravity: Diffusion and friction

Andra

Rosyid

Hermanto

2019

Int. J. Geom. Methods Mod. Phys.

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The relativistic diffusion process and friction have been studied, especially in the framework of [Formula: see text]-gravity theory. The study of relativistic diffusion and friction processes based on [Formula: see text]-gravity is an alternative solution to solve the incompatibility problem emerging in the attempt to couple between the Fokker–Planck equation [FPE] to the Einstein field equation [EFE] encountered by Calogero. The energy–momentum tensor of the cosmological scalar field as proposed by Calogero is replaced by the presence of additional terms in the field equation of [Formula: see text]-gravity. The additional energy–momentum tensor in the field equation of [Formula: see text]-gravity in this context is regarded to compensate for the presence of the diffusion and another process like friction. The additional energy–momentum tensor is also regarded as due to the so-called curvature fluid or background fluid. Here we assume the presence of interaction between matter and the background fluid in the form of physical processes like diffusion, friction, etc. We also assume that there is ‘interplay’ between diffusion process and friction. In other words, the diffusion process and friction are not independent. As examples, we consider some viable models of [Formula: see text] that satisfy both cosmological and local gravity constraints, i.e. [Formula: see text], and [Formula: see text]. Furthermore, we apply it to explain the diffusion and friction processes in the expanding universe by considering the Friedmann–Lemaitre–Robertson–Walker (FLRW) model.

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Theoretical study of diffusion processes around a non-rotating neutron star

Cited by 3 publications

References 5 publications

Theoretical study of diffusion process around a slowly rotating neutron star

Theoretical study of diffusion process around a slowly rotating neutron star

Theoretical study of Maxwell’s solution of magnetic field dynamics around neutron star in the ZAMO (zero angular momentum observers) frame: Accreting and rapidly rotating cases

Theoretical study of interaction between matter and curvature fluid in the theory of f(R)-gravity: Diffusion and friction

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