We investigate generic Hamiltonians for confined electrons with weak inhomogeneous spin-orbit coupling. Using a local gauge transformation we show how the SU(2) Hamiltonian structure reduces to a U(1)×U(1) structure for spinless fermions in a fictitious orbital magnetic field, to leading order in the spin-orbit strength. Using an Onsager relation, we further show how the resulting spin conducta...

The fundamental nature of the nematic-nematic phase separation in binary mixtures of rigid hard rods is analyzed within the Onsager second-virial theory and the extension of Parsons and Lee which includes a treatment of the higher-body contributions. The particles of each component are modeled as hard spherocylinders of different diameter , but equal length . In the case of a system which is re...

The effect of the solvent polarity parameters f (e, n) and j (e, n) appearing in solvatochromic theories, and the effect of the molecular shape of the Onsager cavity (sphere, ellipsoid of revolution) on the determined electric dipole moments me in the singlet excited state are studied. It is found that the shape of the solute does not exhibit a significant effect on the determined values of me,...

The results of diffusion and electrophoretic NMR (eNMR) measurements are reported for a series of tetramethylammonium (TMA) electrolytes (with sulphate, fluoride, acetate, chloride, bromide, nitrate, iodide and perchlorate as anions) in deuterated solvents such as water, dimethylsulphoxide (DMSO), acetonitrile, methanol and ethanol. In addition, similar data are presented for aqueous solutions ...

Onsager's variational principle (OVP) was originally proposed by Lars Onsager in 1931 [L. Onsager, $Phys. Rev.$, 1931, $37$, 405]. This fundamental provides a very powerful tool for formulating thermodynamically consistent models. It can also be employed to find approximate solutions, especially the study of soft matter dynamics. In this work, OVP is extended and applied dynamic modeling active...

The phase behavior of rodlike molecules with polydisperse length and solventmediated attraction and repulsion is described by an extension of the Onsager the∗Current address: Department of Chemical Engineering, Texas Tech University, Lubbock TX 79409, [email protected]

The role of correlation inequalities and martingale arguments in establishing conditional exponential bounds is reviewed. Applications to the computation of the Onsager Machlup functional for diiusions under non supremum norms follow.

The Onsager algebra is one of the cornerstones exactly solvable models in statistical mechanics. Starting from generalised Clifford algebra, we demonstrate its relations to graph Temperley--Lieb and a generalisation algebra. We present series quantum lattice as representations possessing structure special type [1]. integrability those presented, analogous free fermionic eight-vertex model. also...