7,170 research outputs found
Depletion-induced biaxial nematic states of boardlike particles
With the aim of investigating the stability conditions of biaxial nematic
liquid crystals, we study the effect of adding a non-adsorbing ideal depletant
on the phase behavior of colloidal hard boardlike particles. We take into
account the presence of the depletant by introducing an effective depletion
attraction between a pair of boardlike particles. At fixed depletant fugacity,
the stable liquid crystal phase is determined through a mean-field theory with
restricted orientations. Interestingly, we predict that for slightly elongated
boardlike particles a critical depletant density exists, where the system
undergoes a direct transition from an isotropic liquid to a biaxial nematic
phase. As a consequence, by tuning the depletant density, an easy experimental
control parameter, one can stabilize states of high biaxial nematic order even
when these states are unstable for pure systems of boardlike particles
Free Minimization of the Fundamental Measure Theory Functional: Freezing of Parallel Hard Squares and Cubes
Due to remarkable advances in colloid synthesis techniques, systems of
squares and cubes, once an academic abstraction for theorists and simulators,
are nowadays an experimental reality. By means of a free minimization of the
free-energy functional, we apply Fundamental Measure Theory to analyze the
phase behavior of parallel hard squares and hard cubes. We compare our results
with those obtained by the traditional approach based on the Gaussian
parameterization, finding small deviations and good overall agreement between
the two methods. For hard squares our predictions feature at intermediate
packing fraction a smectic phase, which is however expected to be unstable due
to thermal fluctuations. This implies that for hard squares the theory predicts
either a vacancy-rich second-order transition or a vacancy-poor weakly
first-order phase transition at higher density. In accordance with previous
studies, a second-order transition with a high vacancy concentration is
predicted for hard cubes
Density Functional Theory for Chiral Nematic Liquid Crystals
Even though chiral nematic phases were the first liquid crystals
experimentally observed more than a century ago, the origin of the
thermodynamic stability of cholesteric states is still unclear. In this Letter
we address the problem by means of a novel density functional theory for the
equilibrium pitch of chiral particles. When applied to right-handed hard
helices, our theory predicts an entropy-driven cholesteric phase, which can be
either right- or left-handed, depending not only on the particle shape but also
on the thermodynamic state. We explain the origin of the chiral ordering as an
interplay between local nematic alignment and excluded-volume differences
between left- and right-handed particle pairs
Screening of heterogeneous surfaces: charge renormalization of Janus particles
Nonlinear ionic screening theory for heterogeneously charged spheres is
developed in terms of a mode-decomposition of the surface charge. A far-field
analysis of the resulting electrostatic potential leads to a natural
generalization of charge renormalization from purely monopolar to dipolar,
quadropolar, etc., including mode-couplings. Our novel scheme is generally
applicable to large classes of surface heterogeneities, and is explicitly
applied here to Janus spheres with differently charged upper and lower
hemispheres, revealing strong renormalization effects for all multipoles.Comment: 2 figure
Theory of asymmetric non-additive binary hard-sphere mixtures
We show that the formal procedure of integrating out the degrees of freedom
of the small spheres in a binary hard-sphere mixture works equally well for
non-additive as it does for additive mixtures. For highly asymmetric mixtures
(small size ratios) the resulting effective Hamiltonian of the one-component
fluid of big spheres, which consists of an infinite number of many-body
interactions, should be accurately approximated by truncating after the term
describing the effective pair interaction. Using a density functional treatment
developed originally for additive hard-sphere mixtures we determine the zero,
one, and two-body contribution to the effective Hamiltonian. We demonstrate
that even small degrees of positive or negative non-additivity have significant
effect on the shape of the depletion potential. The second virial coefficient
, corresponding to the effective pair interaction between two big spheres,
is found to be a sensitive measure of the effects of non-additivity. The
variation of with the density of the small spheres shows significantly
different behavior for additive, slightly positive and slightly negative
non-additive mixtures. We discuss the possible repercussions of these results
for the phase behavior of binary hard-sphere mixtures and suggest that
measurements of might provide a means of determining the degree of
non-additivity in real colloidal mixtures
Lyman alpha emission from the first galaxies: Signatures of accretion and infall in the presence of line trapping
The formation of the first galaxies is accompanied by large accretion flows
and virialization shocks, during which the gas is shock-heated to temperatures
of K, leading to potentially strong fluxes in the Lyman alpha line.
Indeed, a number of Lyman alpha blobs has been detected at high redshift. In
this letter, we explore the origin of such Lyman alpha emission using
cosmological hydrodynamical simulations that include a detailed model of atomic
hydrogen as a multi-level atom and the effects of line trapping with the
adaptive mesh refinement code FLASH. We see that baryons fall into the center
of a halo through cold streams of gas, giving rise to a Lyman alpha luminosity
of at least at , similar to observed Lyman
alpha blobs. We find that a Lyman alpha flux of emerges from the envelope of the halo rather than its center,
where the photons are efficiently trapped. Such emission can be probed in
detail with the upcoming James Webb Space Telescope (JWST) and will constitute
an important probe of gas infall and accretion.Comment: 5 pages, 3 figures, Accepted for publication in MNRAS LETTER
A Triangular Tessellation Scheme for the Adsorption Free Energy at the Liquid-Liquid Interface: Towards Non-Convex Patterned Colloids
We introduce a new numerical technique, namely triangular tessellation, to
calculate the free energy associated with the adsorption of a colloidal
particle at a flat interface. The theory and numerical scheme presented here
are sufficiently general to handle non-convex patchy colloids with arbitrary
surface patterns characterized by a wetting angle, e.g., amphiphilicity. We
ignore interfacial deformation due to capillary, electrostatic, or
gravitational forces, but the method can be extended to take such effects into
account. It is verified that the numerical method presented is accurate and
sufficiently stable to be applied to more general situations than presented in
this paper. The merits of the tessellation method prove to outweigh those of
traditionally used semi-analytic approaches, especially when it comes to
generality and applicability.Comment: 21 pages, 11 figures, 0 table
On the Detectability of the Hydrogen 3-cm Fine Structure Line from the EoR
A soft ultraviolet radiation field, 10.2 eV < E <13.6 eV, that permeates
neutral intergalactic gas during the Epoch of Reionization (EoR) excites the 2p
(directly) and 2s (indirectly) states of atomic hydrogen. Because the 2s state
is metastable, the lifetime of atoms in this level is relatively long, which
may cause the 2s state to be overpopulated relative to the 2p state. It has
recently been proposed that for this reason, neutral intergalactic atomic
hydrogen gas may be detected in absorption in its 3-cm fine-structure line
(2s_1/2 -> 2p_3/2) against the Cosmic Microwave Background out to very high
redshifts. In particular, the optical depth in the fine-structure line through
neutral intergalactic gas surrounding bright quasars during the EoR may reach
tau~1e-5. The resulting surface brightness temperature of tens of micro K (in
absorption) may be detectable with existing radio telescopes. Motivated by this
exciting proposal, we perform a detailed analysis of the transfer of Lyman
beta,gamma,delta,... radiation, and re-analyze the detectability of the
fine-structure line in neutral intergalactic gas surrounding high-redshift
quasars. We find that proper radiative transfer modeling causes the
fine-structure absorption signature to be reduced tremendously to tau< 1e-10.
We therefore conclude that neutral intergalactic gas during the EoR cannot
reveal its presence in the 3-cm fine-structure line to existing radio
telescopes.Comment: 7 pages, 4 figures, MNRAS in press; v2. some typos fixe
The isotropic-nematic interface in suspensions of hard rods: Mean-field properties and capillary waves
We present a study of the isotropic-nematic interface in a system of hard
spherocylinders. First we compare results from Monte Carlo simulations and
Onsager density functional theory for the interfacial profiles of the
orientational order parameter and the density. Those interfacial properties
that are not affected by capillary waves are in good agreement, despite the
fact that Onsager theory overestimates the coexistence densities. Then we show
results of a Monte Carlo study of the capillary waves of the interface. In
agreement with recent theoretical investigations (Eur.Phys.J. E {\bf 18} 407
(2005)) we find a strongly anistropic capillary wave spectrum. For the
wave-numbers accessed in our simulations, the spectrum is quadratic,
i.e.elasticity does not play a role. We conjecture that this effect is due to
the strong bending rigidity of the director field in suspensions of
spherocylinders.Comment: 8 pages, 10 figure
VIMOS-VLT spectroscopy of the giant Ly-alpha nebulae associated with three z~2.5 radio galaxies
The morphological and spectroscopic properties of the giant (>60 kpc)
Ly-alpha nebulae associated with three radio galaxies at z~2.5 (MRC 1558-003,
MRC 2025-218 and MRC 0140-257) have been investigated using integral field
spectroscopic data obtained with VIMOS on VLT.
The morphologies are varied. The nebula of one source has a centrally peaked,
rounded appearance. In the other two objects, it consists of two spatial
components. The three nebulae are aligned with the radio axis within <30 deg.
The total Ly-alpha luminosities are in the range (0.3-3.4) x 1e44 erg s-1. The
Ly-alpha spectral profile shows strong variation through the nebulae, with FWHM
values in the range ~400-1500 km s-1 and velocity shifts V~120-600 km s-1.
We present an infall model which can explain successfully most Ly-alpha
morphological and spectroscopic properties of the nebula associated with MRC
1558-003. This adds further support to our previous conclusion that the
_quiescent_ giant nebulae associated with this and other high redshift powerful
radio galaxies are in infall. A problem for this model is the difficulty to
reproduce the large Ly-alpha FWHM values.
We have discovered a giant (~85 kpc) Ly-alpha nebula associated with the
radio galaxy MRC 0140-257 at z=2.64. It shows strikingly relaxed kinematics
(FWHM2) radio galaxies.Comment: 14 pages, 13 figures. Accepted for publication in MNRA
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