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Everything about Polytrope
Thermodynamic concept imporant in astrophysics
In astrophysics, a polytrope is a thermodynamic system with pressure dependent upon density, leaving only one independent state variable. A polytropic process is intermediate between an isothermal process and adiabatic one. The dependence of pressure on density is a solution to the Lane–Emden equation: where P is pressure, ρ is density and K is a constant of proportionality. The constant n is known as the polytropic index. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: PolytropeA 5-minute orientation
- Skim a recent paper: Double relativistic master polytrope for anisotropic matterInfluential work since 2022
- Pick up a classic book: PolytropesThe most-reprinted book on the subject
- Read the landmark paper: An empirical polytrope law for solar wind thermal electrons between 0.45 and 4.76 AU: Voyager 2 and Mariner 10Cited 109 times
- Go sideways: Lane–Emden equationA closely related topic
- Go sideways: Chandrasekhar's white dwarf equationA closely related topic
📖 Definitions
Noun A particular solution to an equation concerning self-gravitating, polytropic fluid
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
An empirical polytrope law for solar wind thermal electrons between 0.45 and 4.76 AU: Voyager 2 and Mariner 10
Self-similar magnetohydrodynamics. I - The gamma = 4/3 polytrope and the coronal transient
A Relativistic Fluid Sphere Resembling the Emden Polytrope of Index 5.
The general relativistic double polytrope for anisotropic matter
Composite Polytrope Models of Molecular Clouds. I. Theory
Non-extensive statistics and the stellar polytrope index
The double polytrope for anisotropic matter: Newtonian case
Small amplitude hydromagnetic waves for a plasma with a generalized polytrope law
🆕 Influential since 2022
📚 Books worth reading
PolytropesGeorg P. Horedt · 2004
PolytropesG. P. Horedt · 2011
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Lane–Emden equation In astrophysics, the Lane–Emden equation is a dimensionless form of Poisson's equation for the gravitational potential of a Newtonian self-gravitating…
- Chandrasekhar's white dwarf equation In astrophysics, Chandrasekhar's white dwarf equation is an initial value ordinary differential equation introduced by the Indian American astrophysicist…
- Emden–Chandrasekhar equation In astrophysics, the Emden–Chandrasekhar equation is a dimensionless form of a Poisson equation (more precisely, a Liouville's equation) for the density…
- Polytropic process A polytropic process is a thermodynamic process that obeys the relation: p V n = C {\displaystyle pV^{n}=C} where p is the pressure, V is volume, n is…
- Chandrasekhar limit The Chandrasekhar limit (/ˌtʃəndrəˈʃeɪkər/) is the maximum mass of a stable white dwarf star. These stars resist gravitational collapse primarily through…
- Radiative zone A radiative zone is a layer of a star's interior where energy is primarily transported toward the exterior by means of radiative diffusion and thermal…
- Hayashi limit The Hayashi limit is a theoretical constraint upon the maximum radius of a star for a given mass. When a star is fully within hydrostatic equilibrium—a…
- Barotropic fluid In fluid dynamics, a barotropic fluid is a fluid whose density is a function of pressure only. The barotropic fluid is a useful model of fluid behavior…