Ehrenfest scheme for complex thermodynamic systems in full phase space

For a thermodynamic system with multiple pairs of intensive/extensive variables and the thermodynamical coefficients attain finite or infinite values on the phase boundary, we obtain the two classes of Ehrenfest equations in the full phase space, and find that the rank of the matrix for these equations can tell us the dimensions of the phase boundary. We also apply this treatment to the RN-AdS black hole.Comment: 9 page

Holographic insulator/superconductor phase transition with Weyl corrections

We analytically investigate the phase transition between the holographic insulator and superconductor with Weyl corrections by using the variational method for the Sturm-Liouville eigenvalue problem. We find that similar to the curvature corrections, in p-wave model, the higher Weyl couplings make the insulator/superconductor phase transition harder to occur. However, in s-wave case the Weyl corrections do not influence the critical chemical potential, which is in contrast to the effect caused by the curvature corrections. Moreover, we observe that the Weyl corrections will not affect the critical phenomena and the critical exponent of the system always takes the mean-field value in both models. Our analytic results are found to be in good agreement with the numerical findings.Comment: 17 pages, 3 figures and 2 tables. More discussions and references adde

3D human pose estimation using part affinity field

Nowadays, following the success of deep learning in the Computer Vision field, many research studies are underway to produce state-of-the-art technologies that can predict 3D human poses given raw image pixels. These end-to-end systems create possibilities for future studies such as human pose or gait recognition, and their practical values in industry are beyond imagination. This thesis proposes an end-to-end system that predicts human joint locations in 3D space using only the raw image pixels as inputs. While the most used state-of-the-art method proposes that lifting joint locations from camera space to 3D space can be done in a simple and effective way only using 2D joint locations as inputs, our proposed system is even more effective and accurate with the help of part affinity fields.Ope