Samstag, 6. Juli 2019

Parallel transport

Transport of the green vector along the blue curve on the sphere. The starting point is the red dot; the movement along the curve is in the anticlockwise direction. In a few points on the curve I plotted also a basis for the tangent space to the sphere (the vector tangent to the curve and the vector normal to that).

Dienstag, 5. März 2019

Paradosso di Loschmidt

The following graph, from J. Orban and A. Bellemans, “Velocity-inversion and irreversibility in a dilute gas of hard disks,” Phys. Lett. A, vol. 24, no. 11, pp. 620–621, May 1967, illustrates the solution of Loschmidt paradox.

$$\sin(x)^2+\cos(x)^2=1$$