We consider extensions of excluded volume interactions for complex corpora that generalize simple rod-like particles. The Onsager equation can be defined for quite general configuration spaces, and the dimension reduction of the phase space in the limit of highly intense interaction can be shown. The formalism describes both freely articulated and interacting N-rods and the example of interacti...

The Onsager and higher-order reciprocity relations are derived from a fluctuation theorem for nonequilibrium reactions ruled by the chemical master equation. The fluctuation theorem is obtained for the generating function of the macroscopic fluxes between chemiostats maintaining the system in a nonequilibrium steady state. The macroscopic affinities associated with the fluxes are identified by ...

The spontaneous magnetization of the Kagome lattice in Ising model is thoroughly investigated. proof fallacy obtained earlier and repeatedly migrating from publication to given. An exact expression presented standard Onsager form for anisotropic case (depending on arbitrary values signs exchange interactions all three directions lattice). frustration properties 2D comprehensively studied includ...

A simple proof is given of the classical result due to Fatkullin and Slastikov (2005), Liu, Zhang (2005) that critical points for Onsager functional with Maier-Saupe molecular interaction are axisymmetric, including case stable an additional dipole-dipole (Zhou et al 2007). The avoids spherical polar coordinates, instead using integral identity on sphere $S^2$. For general interactions absolute...

We revisit the classical problem of flow of electrolyte solutions through charged capillary nanopores or nanotubes as described by the capillary pore model (also called "space charge" theory). This theory assumes very long and thin pores and uses a one-dimensional flux-force formalism which relates fluxes (electrical current, salt flux, and fluid velocity) and driving forces (difference in elec...