We have used a q-space method for calculating thermodynamic quantities of a twodimensional vesicle introduced by Ostrowsky and Peyraud. This method has been used to calculate the radius of gyration, the area, and the shape of vesicles as a function of perimeter length £ and Helfrich curvature parameter K. It is found, in agreement with the hypothesis of Fisher, that all thermodynamic quantities...

Inverse gas chromatography method is widely used for the characterization of polymers and surfactants that are capable to offer useful information to predict miscibility of polymer composites. However adaption of IGC to carbon nanotubes (CNTs) is still challenging due to many problems arising in establishment and there are only limited reports about CNTs. Thus we researched the thermodynamic su...

In “Is the Frobenius Matrix Norm Induced?”, the authors ask whether the Frobenius and the norms are induced. There, they claimed that the Frobenius norm is not induced and, consequently, conjectured that the norm may not be induced. In this note, it is shown that the Frobenius norm is induced on particular matrix spaces. It is then shown that the norm is in fact induced on a particular matrix-v...

We present an algorithm to evaluate large deviation functions associated to historydependent observables. Instead of relying on a time discretisation procedure to approximate the dynamics, we provide a direct continuous-time algorithm valuable for systems with multiple time scales, thus extending the work of Giardinà, Kurchan and Peliti [1]. The procedure is supplemented with a thermodynamic-in...

We study a classical many-particle system with an external control represented by a time-dependent extensive parameter in a Lagrangian. We show that thermodynamic entropy of the system is uniquely characterized as the Noether invariant associated with a symmetry for an infinitesimal nonuniform time translation t→t+ηℏβ, where η is a small parameter, ℏ is the Planck constant, β is the inverse tem...

This paper deals with parameter estimability analysis and identification of the Pitzer model used in prediction thermodynamic properties phase equilibria electrolytic solutions. The method is based on orthogonalization a sensitivity matrix to rank unknown parameters from most estimable least estimable. Although obtained results are interesting, algorithm shows its limits since it local sensitiv...