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What is difference between homogeneous and isotropic material?
WEBDec 13, 2014 · "Assume a homogeneous and isotropic medium". It is pretty simple. Homogeneous means there is the same stuff everywhere, like hydrogen gas or a block of copper. isotropic means it has the same properties in all directions. Glass would be isotropic on a macro scale, a crystal would not. $\endgroup$ –
Physics.stackexchange.comWhat is the reason for isotropy in amorphous solids?
WEBJul 8, 2017 · 11. In my book, it's been mentioned that crystalline solids are anisotropic whereas amorphous solids are isotropic in nature. The reason for these has been explained (with a diagram) as: Crystalline solids are anisotropic in nature, that is, some of their physical properties like electrical resistance or refractive index show different values
Chemistry.stackexchange.comWhat does isotropic space mean? - Physics Stack Exchange
WEBMar 31, 2018 · isotropic space means the space properties are not different in direction. In mechanics, when we say material properties are isotropic, it means, for example, its modulus is the same in all directions. For an empty space, it is trivial to show this. For an anisotropic space, let's take river for example, the flow velocity is direction dependent.
Physics.stackexchange.comWhy do we say the universe is isotropic when we are clearly …
WEBJul 6, 2022 · Unsolved problem in physics: Is the universe homogeneous and isotropic at large enough scales, as claimed by the cosmological principle and assumed by all models that use the Friedmann–Lemaître–Robertson–Walker metric, including the current version of the ΛCDM model, or is the universe inhomogeneous or anisotropic?
Physics.stackexchange.comterminology - Isotropy and Noise - Physics Stack Exchange
WEBThe field is isotropic if the distribution only depends on the magnitude of the Fourier mode and the Fourier modes are uncorrelated with each other. In cosmology the primordial perturbations are thought to be such a field and current observations apear to be consistent with this, although some argue that there may be violation on the largest scales.
Physics.stackexchange.comIsn't $\\epsilon_{ij}$ an isotropic, rank-2 tensor?
WEBNov 25, 2020 · An arbitrary isotropic tensor in 2D is itself a rotation, since. A = 1 a2 +b2− −−−−−√ (cos. An arbitrary isotropic tensor in 2D can be written as: Aij = aδij − bϵij. Thus, there are precisely two independent isotropic rank-2 tensors in 2D, δij and ϵij. Note: I've not spoken too much about generators and how to derive Lz in
Physics.stackexchange.comgeneral relativity - What is meant when it is said that the universe …
WEBAn isotropic cosmology is one in which there are no "special" directions: at a given instant in time, the universe appears the same in every direction (again, on sufficiently large spatial scales). Together, they form the Cosmological principle .
Physics.stackexchange.comhomework and exercises - Schwarzschild metric in Isotropic …
WEBNov 7, 2014 · 16. As one wants to jump to isotropic coordinates in order to write the Schwarzschild metric in terms of them, one does this coordinate transformation: r = r′(1 + M 2r′)2. So we start with the very well-known form: ds2 = −(1 − 2m r) dt2 +(1 − 2m r)−1 dr2 +r2(dθ2 +sin2 θdϕ2) And arrive at.
Physics.stackexchange.comforces - How to explain the isotropic nature of pressure? - Physics
WEBSep 21, 2019 · Shown in figure is a pipe in which a fluid is static. The pressure at A is equal to pressure at B since it is at the same level and pressure is isotropic. The pressure at A could be defined as the downward thrust acting on a unit area of cross section that extends into the screen (i.e the plane of the mentioned cross section is perpendicular to
Physics.stackexchange.comIsotropy of Black Body Radiation - Physics Stack Exchange
WEBMar 22, 2017 · 1. Black-body spectra depends solely on the temperature of the body, not the material or the shape. It is in equilibrium with the radiation, so it absorbs as much as it emits. Consider your case: A small heterogeneous body ( i.e. a body made of different materials) is placed inside a cavity until thermal equilibrium is reached.
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