Condensed Matter

2102 Submissions

[2] viXra:2102.0076 [pdf] submitted on 2021-02-14 10:56:07

Majorana Fermions in Self-Consistent Effective Hamiltonian Theory

Authors: Xindong Wang
Comments: 3 Pages.

Majorana fermion solution is obtained from the self-consistent effective Hamiltonian theory. The ground state is conjectured to be a non-empty vacuum with 2 fermions, one for each type. The first type is the original charged fermion and the second type the chiral charge-less Majorana fermion. The Marjorana fermion is like a shadow of the first fermion cast by the non-empty vacuum.
Category: Condensed Matter

[1] viXra:2102.0065 [pdf] submitted on 2021-02-10 21:23:32

Effective Hard-Sphere Model of Diffusion in Aqueous Polymer Solutions

Authors: Stephen Peppin
Comments: 16 Pages.

An effective hard-sphere model of the diffusion and cross-diffusion of salt in unentangled polymer solutions is developed. Given the viscosity, sedimentation coefficient and osmotic pressure of the polymer, the model predicts the diffusion and cross-diffusion coefficients as functions of the polymer concentration and molecular weight. The results are compared with experimental data on NaCl diffusion in aqueous polyethylene glycol solutions, showing good agreement at polymer molecular weights up to 400\,g/L. At higher molecular weights the model becomes less accurate, likely because of the effects of entanglement. The tracer Fickian diffusivity can be written in the form of a Stokes-Einstein equation containing the solution viscosity. For NaCl diffusion in polyethylene glycol solutions, the Stokes-Einstein equation breaks down as the polymer size increases. Using Batchelor's viscous correction factor to determine an effective viscosity experienced by the salt ions within the polymer matrix leads to much closer agreement with experiment.
Category: Condensed Matter