Statistical mechanics of a lipid monolayer

We calculate from first principles the equation of state of a simple type of membrane: a monolayer consisting of lipid chain molecules with short-range repulsive and long-range attractive forces. An approximate solution to the packing problem of the hydrocarbon chains is obtained by using a mathematical analogy with the quantum gas of hard disks. The long-range attractive forces are incorporated in a mean-field approximation. The results are in qualitative agreement with experiments

Self-consistent field theory of a lipid monolayer

We present a mean-field theory which is specifically designed to take care of the effects of backfolding in lipid monolayers. Agreement with experiments on DPPC is fair

Hendrik Antoon Lorentz’s struggle with quantum theory

A historical overview is given of the contributions of Hendrik Antoon Lorentz in quantum theory. Although especially his early work is valuable, the main importance of Lorentz’s work lies in the conceptual clarifications he provided and in his critique of the foundations of quantum theory

Comparison of Viscosities from the Chapman-Enskog and Relaxation Time Methods

A quantitative comparison between the results of shear viscosities from the Chapman-Enskog and relaxation time methods is performed for selected test cases with specified elastic differential cross sections: (i) the non-relativistic, relativistic and ultra-relativistic hard sphere gas with angle and energy independent differential cross section, (ii) the Maxwell gas, (iii) chiral pions and (iv) massive pions. Our quantitative results reveal that the extent of agreement (or disagreement) depends very sensitively on the energy dependence of the differential cross sections employed.Comment: Submitted to Cent. Eur. J.Phy