320 research outputs found
Two-component plasma in a gravitational field
In this paper we study a model for the sedimentation equilibrium of a charged
colloidal suspension: the two-dimensional two-component plasma in a
gravitational field which is exactly solvable at a special value of the reduced
inverse temperature Gamma=2. The density profiles are computed. The heavy
particles accumulate at the bottom of the cointainer. If the container is high
enough, an excess of light counterions form a cloud floating at some altitude.Comment: 17 pages, 3 Encapsulated Postscript figures, LaTeX with the graphicx
packag
Renormalized charge in a two-dimensional model of colloidal suspension from hypernetted chain approach
The renormalized charge of a simple two-dimensional model of colloidal
suspension was determined by solving the hypernetted chain approximation and
Ornstein-Zernike equations. At the infinite dilution limit, the asymptotic
behavior of the correlations functions is used to define the effective
interactions between the components of the system and these effective
interactions were compared to those derived from the Poisson-Boltzmann theory.
The results we obtained show that, in contrast to the mean-field theory, the
renormalized charge does not saturate, but exhibits a maximum value and then
decays monotonically as the bare charge increases. The results also suggest
that beyond the counterion layer near to the macroion surface, the ionic cloud
is not a diffuse layer which can be handled by means of the linearized theory,
as the two-state model claims, but a more complex structure is settled by the
correlations between microions
Statistical Behavior Of Domain Systems
We study the statistical behavior of two out of equilibrium systems. The
first one is a quasi one-dimensional gas with two species of particles under
the action of an external field which drives each species in opposite
directions. The second one is a one-dimensional spin system with nearest
neighbor interactions also under the influence of an external driving force.
Both systems show a dynamical scaling with domain formation. The statistical
behavior of these domains is compared with models based on the coalescing
random walk and the interacting random walk. We find that the scaling domain
size distribution of the gas and the spin systems is well fitted by the Wigner
surmise, which lead us to explore a possible connection between these systems
and the circular orthogonal ensemble of random matrices. However, the study of
the correlation function of the domain edges, show that the statistical
behavior of the domains in both gas and spin systems, is not completely well
described by circular orthogonal ensemble, nor it is by other models proposed
such as the coalescing random walk and the interacting random walk.
Nevertheless, we find that a simple model of independent intervals describe
more closely the statistical behavior of the domains formed in these systems.Comment: v2: minor change
Analytical Insights and Universal Behavior in Fast Thermal Equilibration Protocols
When a system deviates from equilibrium, it is possible to manipulate and
control it to drive it towards equilibrium within a finite time , even
reducing its natural relaxation time scale . Although numerous
theoretical and experimental studies have explored these shortcut protocols,
few have yielded analytical results for the probability distribution of work,
heat and entropy production. In this paper, we propose a two-step protocol that
captures the essential characteristics of more general protocols and has
analytical solution for the relevant thermodynamic probability distributions.
Additionally, we demonstrate that for very short protocol duration , all protocols exhibit universal behavior in their shape and for
the ratio of probability distribution functions of positive and negative work,
heat and the entropy production.Comment: 16 pages, 13 figure
Two-component plasma in a gravitational field: Thermodynamics
We revisit the model of the two-component plasma in a gravitational field,
which mimics charged colloidal suspensions. We concentrate on the computation
of the grand potential of the system. Also, a special sum rule for this model
is presented.Comment: 7 pages, LaTeX2
Two-dimensional two-component plasma with adsorbing impurities
We study the behavior of the two-dimensional two-component plasma in the
presence of some adsorbing impurities. Using a solvable model, we find analytic
expressions for the thermodynamic properties of the plasma such as the -body
densities, the grand potential, and the pressure. We specialize in the case
where there are one or two adsorbing point impurities in the plasma, and in the
case where there are one or two parallel adsorbing lines. In the former case we
study the effective interaction between the impurities, due to the charge
redistribution around them. The latter case is a model for electrodes with
adsorbing sticky sites on their surface
Visualizing simultaneity in diasporic public spheres: the case of the Mexican diaspora in the US
This article argues that explorations of interactive spaces afforded by digital news media provide a dynamic platform to visualize the prospects for the political participation of diasporas in their countries of origin and residence. In this case, a breakdown of the frequency of comments poured in response to a variety of news sections about Mexico and the US in Univision.com uncovered a lively range of interactions between news forum participants, signalling simultaneous interest in on-going events and processes in the two countries. The dual national orientations highlighted by these findings “touch base” with the body of literature about media and migration, which has in recent times recognised the interconnectedness of immigrants-sending and receiving societies, whilst offering a more refined conceptualization of the concept of simultaneity in regard to diasporic public spheres
- …