What is difference between homogeneous and isotropic material?
2014年12月13日 · "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. $\endgroup$ –
What is the reason for isotropy in amorphous solids?
2017年7月8日 · In the second picture atoms are not orderly arranged. No matter where you go in crystal of a amorphous solid, the disarrangement will be same. Since in every direction, disarrangement is same, physical properties along every direction is also same. Therefore, amorphous solids are isotropic. In the first picture, the arrangement is orderly.
homework and exercises - Schwarzschild metric in Isotropic …
2014年11月7日 · The aim of the isotropic coordinates is to write the metric in the form where the spacelike slices are as close as possible to Euclidean. That is, we try to write the metric in the form: $$ ds^2 = -A^2(r)dt^2 + B^2(r)d\Sigma^2 $$
Werner versus Isotropic States: Physical Significance
2016年11月23日 · $\begingroup$ @NorbertSchuch That doesn't answer the question. I know they're 1-parameter families, as is evident from the equations.
Why do we say the universe is isotropic when we are clearly …
2022年7月6日 · 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?
What does isotropic space mean? - Physics Stack Exchange
2018年3月31日 · 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.
Lagrangian is isotropic in space - Physics Stack Exchange
In Landau & Lifshitz Mechanics, while deriving the properties of Lagrangian of a free particle in inertial frame, he uses the following points $:$ As space is homogeneous in inertial frame, a
How do you prove that pressure is same in all directions (i.e: …
2020年11月14日 · $\begingroup$ It must be stressed that the law of isotropic pressure for a fluid at rest (Pascal's law) is only valid for a region of small dimensions but still large enough that the continuous medium hypothesis is valid.
terminology - Isotropy and Noise - Physics Stack Exchange
The 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 ...
What causes pressure in fluid and why is it isotropic?
2018年1月26日 · Static pressure is the isotropic component, formed by particles moving through some arbitrary boundary. Static pressure is measured in a frame that's moving with the fluid. Dynamic pressure is an expression of the net kinetic energy density of the fluid, and represents the contribution from the bulk motion of the fluid.