7,981 research outputs found
Collective behavior of colloids due to critical Casimir interactions
If colloidal solute particles are suspended in a solvent close to its
critical point, they act as cavities in a fluctuating medium and thereby
restrict and modify the fluctuation spectrum in a way which depends on their
relative configuration. As a result effective, so-called critical Casimir
forces (CCFs) emerge between the colloids. The range and the amplitude of CCFs
depend sensitively on the temperature and the composition of the solvent as
well as on the boundary conditions of the order parameter of the solvent at the
particle surfaces. These remarkable, moreover universal features of the CCFs
provide the possibility for an active control over the assembly of colloids.
This has triggered a recent surge of experimental and theoretical interest in
these phenomena. We present an overview of current research activities in this
area. Various experiments demonstrate the occurrence of thermally reversible
self-assembly or aggregation or even equilibrium phase transitions of colloids
in the mixed phase below the lower consolute points of binary solvents. We
discuss the status of the theoretical description of these phenomena, in
particular the validity of a description in terms of effective, one-component
colloidal systems and the necessity of a full treatment of a ternary
solvent-colloid mixture. We suggest perspectives on the directions towards
which future research in this field might develop.Comment: review, 88 pages, 19 figure
Self-Duality for the Two-Component Asymmetric Simple Exclusion Process
We study a two-component asymmetric simple exclusion process (ASEP) that is
equivalent to the ASEP with second-class particles. We prove self-duality with
respect to a family of duality functions which are shown to arise from the
reversible measures of the process and the symmetry of the generator under the
quantum algebra . We construct all invariant measures in
explicit form and discuss some of their properties. We also prove a sum rule
for the duality functions.Comment: 27 page
A thermodynamically consistent kinetic framework for binary nucleation
The traditional theory for binary homogeneous nucleation follows the classical derivation of the nucleation rate in the supposition of a hypothetical constrained-equilibrium distribution in the calculation of the cluster evaporation rate. This model enables calculation of the nucleation rate, but requires evaluation of the cluster distribution and cluster properties for an unstable equilibrium with supersaturated vapor. An alternate derivation of the classical homomolecular nucleation rate eliminated the need for this nonphysical approximation by calculating the evaporative flux at full thermodynamic equilibrium. The present paper develops that approach for binary nucleation; the framework is readily extended to ternary nucleation. In this analysis, the evaporative flux is evaluated by applying mass balance at full thermodynamic equilibrium of the system under study. This approach eliminates both the need for evaluating cluster properties in an unstable constrained-equilibrium state and ambiguity in the normalization constant required in the nucleation-rate expression. Moreover, it naturally spans the entire composition range between the two pure monomers. The cluster fluxes derived using this new model are similar in form to those of classical derivations, so previously developed methods for evaluation of the net nucleation rate can be applied directly to the new formulation
Nucleation in A/B/AB blends: Interplay between microphase assembly and macrophase separation
We study the interplay between microphase assembly and macrophase separation in A/B/AB ternary polymer blends by examining the free energy of localized fluctuation structures (micelles or droplets), with emphasis on the thermodynamic relationship between swollen micelles (microemulsion) and the macrophase-separated state, using self-consistent field theory and an extended capillary model. Upon introducing homopolymer B into a micelle-forming binary polymer blend A/AB, micelles can be swollen by B. A small amount of component B (below the A-rich binodal of macrophase coexistence) will not affect the stability of the swollen micelles. A large excess of homopolymer, B, will induce a microemulsion failure and lead to a macrophase separation. Between the binodal and the microemulsion failure concentration, macrophase separation in A/B/AB occurs by a two-step nucleation mechanism via a metastable microemulsion droplet of finite size. Our results illustrate a recently proposed argument that the two-step nucleation via a metastable intermediate is a general phenomenon in systems involving short-range attraction and long-range repulsion
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