Linear viscoelasticity in lipid bilayers of vesicles

Abstract

In two preceding articles the complex shear viscosity of a dispersion of vesicles has been determined and from an observed macroscopic relaxation time that pertains to deformation of vesicles a value of the static shear modulus has been calculated with the use of the Oldroyd model. In the present paper this model has been extended by incorporating in the shear behavior of the lipid bilayer a linear viscoelastic behavior with one relaxation time in order to be able to relate the macroscopic relaxation time to a dynamic shear modulus instead of a static shear modulus. The latter is believed not to exist. With the extended Oldroyd model the experimental results can be interpreted. This leads to a value of the dynamic shear modulus.

Numerical study of the incommensurate phase in spin-Peierls systems

“…Several other properties of this material have been reasonably described using this model. [21][22][23] As in Ref. [ 19], we assume for simplicity that the lattice distortion does not affect the second neighbor interactions.…”

Critical Properties in Photoemmision Spectra for One Dimensional Orbitally Degenerate Mott Insulator

“…A remarkable point in (10) is that two kinds of phase shifts n c,α and d c,α , which are the key quantities to control the anomalous low-energy properties, enter in (10). These phase shifts, which are caused by a final-state interaction between spinons and the created holon, are explicitly obtained as…”

“…In particular, the photoemission experiments [5][6][7] for the Mott insulator compound SrCuO 2 , Sr 2 CuO 3 and NaV 2 O 5 have clarified characteristic properties of a single hole doped in the 1D Mott insulator. So far, extensive theoretical studies on spectral functions for 1D correlated systems have been done numerically [8][9][10][11][12][13][14][15] and analytically. [16][17][18][19][20][21][22] Among others, it has been recently shown [16,19,20] that the dynamical spectral functions for the 1D Mott insulator still show the power-law singularity at threshold energies, characterizing the critical properties of a doped hole in the 1D Mott insulator.…”

Critical Properties in Dynamical Charge Correlation Function for the One-Dimensional Mott Insulator

“…For example, the recent photoemission experiments [1][2][3] for the 1D compounds SrCuO 2 , Sr 2 CuO 3 and NaV 2 O 5 have clarified dynamical properties of a single hole doped in the 1D Mott insulator. These experiments have indeed stimulated extensive theoretical studies on the one-particle Green function for 1D correlated systems, which have been done numerically [4][5][6][7][8][9][10][11][12] and analytically. [13][14][15][16][17][18][19] The overall feature of the spin-charge separation found in the photoemission experiments has been explained rather well.…”