46,563 research outputs found
Fluids confined in wedges and by edges: From cluster integrals to thermodynamic properties referred to different regions
Recently, new insights in the relation between the geometry of the vessel
that confines a fluid and its thermodynamic properties were traced through the
study of cluster integrals for inhomogeneous fluids. In this work I analyze the
thermodynamic properties of fluids confined in wedges or by edges, emphasizing
on the question of the region to which these properties refer. In this context,
the relations between the line-thermodynamic properties referred to different
regions are derived as analytic functions of the dihedral angle , for
, which enables a unified approach to both edges and wedges. As
a simple application of these results, I analyze the properties of the confined
gas in the low-density regime. Finally, using recent analytic results for the
second cluster integral of the confined hard sphere fluid, the low density
behavior of the line thermodynamic properties is analytically studied up to
order two in the density for and by adopting different
reference regions.Comment: 8 pages, 7 figure
Adhesive for aluminum withstands cryogenic temperatures
Polyurethane adhesive mixed to various proportions with milled glass fibers match the thermal characteristics of 2014-T6 aluminum at cryogenic temperatures
Two hard spheres in a pore: Exact Statistical Mechanics for different shaped cavities
The Partition function of two Hard Spheres in a Hard Wall Pore is studied
appealing to a graph representation. The exact evaluation of the canonical
partition function, and the one-body distribution function, in three different
shaped pores are achieved. The analyzed simple geometries are the cuboidal,
cylindrical and ellipsoidal cavities. Results have been compared with two
previously studied geometries, the spherical pore and the spherical pore with a
hard core. The search of common features in the analytic structure of the
partition functions in terms of their length parameters and their volumes,
surface area, edges length and curvatures is addressed too. A general framework
for the exact thermodynamic analysis of systems with few and many particles in
terms of a set of thermodynamic measures is discussed. We found that an exact
thermodynamic description is feasible based in the adoption of an adequate set
of measures and the search of the free energy dependence on the adopted measure
set. A relation similar to the Laplace equation for the fluid-vapor interface
is obtained which express the equilibrium between magnitudes that in extended
systems are intensive variables. This exact description is applied to study the
thermodynamic behavior of the two Hard Spheres in a Hard Wall Pore for the
analyzed different geometries. We obtain analytically the external work, the
pressure on the wall, the pressure in the homogeneous zone, the wall-fluid
surface tension, the line tension and other similar properties
An exact formalism to study the thermodynamic properties of hard-sphere systems under spherical confinement
This paper presents a modified grand canonical ensemble which provides a new
simple and efficient scheme to study few-body fluid-like inhomogeneous systems
under confinement. The new formalism is implemented to investigate the exact
thermodynamic properties of a hard sphere (HS) fluid-like system with up to
three particles confined in a spherical cavity. In addition, the partition
function of this system was used to analyze the surface thermodynamic
properties of the many-HS system and to derive the exact curvature dependence
of both the surface tension and adsorption in powers of the density. The
expressions for the surface tension and the adsorption were also obtained for
the many- HS system outside of a fixed hard spherical object. We used these
results to derive the dependence of the fluid-substrate Tolman length up to
first order in density.Comment: 6 figures. The paper includes new exact results about hard spheres
fluid-like system
Sensing of Fluctuating Nanoscale Magnetic Fields Using NV Centres in Diamond
New magnetometry techniques based on Nitrogen-Vacancy (NV) defects in diamond
allow for the imaging of static (DC) and oscillatory (AC) nanoscopic magnetic
systems. However, these techniques require accurate knowledge and control of
the sample dynamics, and are thus limited in their ability to image fields
arising from rapidly fluctuating (FC) environments. We show here that FC fields
place restrictions on the DC field sensitivity of an NV qubit magnetometer, and
that by probing the dephasing rate of the qubit in a magnetic FC environment,
we are able to measure fluctuation rates and RMS field strengths that would be
otherwise inaccessible with the use of DC and AC magnetometry techniques. FC
sensitivities are shown to be comparable to those of AC fields, whilst
requiring no additional experimental overheads or control over the sample.Comment: 5 pages, 4 figure
Compressive force generation by a bundle of living biofilaments
To study the compressional forces exerted by a bundle of living stiff
filaments pressing on a surface, akin to the case of an actin bundle in
filopodia structures, we have performed particulate Molecular Dynamics
simulations of a grafted bundle of parallel living (self-assembling) filaments,
in chemical equilibrium with a solution of their constitutive monomers.
Equilibrium is established as these filaments, grafted at one end to a wall of
the simulation box, grow at their chemically active free end and encounter the
opposite confining wall of the simulation box. Further growth of filaments
requires bending and thus energy, which automatically limit the populations of
longer filaments. The resulting filament sizes distribution and the force
exerted by the bundle on the obstacle are analyzed for different grafting
densities and different sub- or supercritical conditions, these properties
being compared with the predictions of the corresponding ideal confined bundle
model. In this analysis, non-ideal effects due to interactions between
filaments and confinement effects are singled out. For all state points
considered at the same temperature and at the same gap width between the two
surfaces, the force per filament exerted on the opposite wall appears to be a
function of a rescaled free monomer density . This
quantity can be estimated directly from the characteristic length of the
exponential filament size distribution observed in the size domain where
these grafted filaments are not in direct contact with the wall. We also
analyze the dynamics of the filament contour length fluctuations in terms of
effective polymerization () and depolymerization () rates, where again it
is possible to disentangle non-ideal and confinement effects.Comment: 24 pages, 7 figure
Fluids confined in wedges and by edges: Virial series for the line-thermodynamic properties of hard spheres
This work is devoted to analyze the relation between the thermodynamic properties of a confined fluid and the shape of its confining vessel. Recently, new insights in this topic were found through the study of cluster integrals for inhomogeneous fluids that revealed the dependence on the vessel shape of the low density behavior of the system. Here, the statistical mechanics and thermodynamics of fluids confined in wedges or by edges is revisited, focusing on their cluster integrals. In particular, the well known hard sphere fluid, which was not studied in this framework so far, is analyzed under confinement and its thermodynamic properties are analytically studied up to order two in the density. Furthermore, the analysis is extended to the confinement produced by a corrugated wall. These results rely on the obtained analytic expression for the second cluster integral of the confined hard sphere system as a function of the opening dihedral angle 0 < β < 2π. It enables a unified approach to both wedges and edges.Fil: Urrutia, Ignacio. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentin
Validity of the second law in nonextensive quantum thermodynamics
The second law of thermodynamics in nonextensive statistical mechanics is
discussed in the quantum regime. Making use of the convexity property of the
generalized relative entropy associated with the Tsallis entropy indexed by q,
Clausius' inequality is shown to hold in the range of q between zero and two.
This restriction on the range of the entropic index, q, is purely quantum
mechanical and there exists no upper bound of q for validity of the second law
in classical theory.Comment: 12 pages, no figure
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