834 research outputs found
Integration through transients for Brownian particles under steady shear
Starting from the microscopic Smoluchowski equation for interacting Brownian
particles under stationary shearing, exact expressions for shear-dependent
steady-state averages, correlation and structure functions, and
susceptibilities are obtained, which take the form of generalized Green-Kubo
relations. They require integration of transient dynamics. Equations of motion
with memory effects for transient density fluctuation functions are derived
from the same microscopic starting point. We argue that the derived formal
expressions provide useful starting points for approximations in order to
describe the stationary non-equilibrium state of steadily sheared dense
colloidal dispersions.Comment: 17 pages, Submitted to J. Phys.: Condens. Matter; revised version
with minor correction
Prospective memory impairment in chronic heart failure
Although cognitive deficits are common in patients with chronic heart failure (CHF), no study to date has investigated whether these deficits extend to the capacity to execute delayed intentions (prospective memory, PM). This is a surprising omission given the critical role PM plays in correctly implementing many important CHF self-care behaviors. The present study aimed to provide the first empirical assessment of PM function in people with CHF. The key dependent measure was a laboratory measure of PM that closely simulates PM tasks in daily life - Virtual Week. A group comparison design was used, with 30 CHF patients compared to 30 demographically matched controls. Background measures assessing executive functions, working memory, and verbal memory were also administered. The CHF group exhibited significant PM impairment, with difficulties generalizing across different types of PM tasks (event, time, regular, irregular). The CHF group also had moderate deficits on several of the background cognitive measures. Given the level of impairment remained consistent even on tasks that imposed minimal demands on memory for task content, CHF-related difficulties most likely reflects problems with the prospective component. However, exploratory analyses suggest that difficulties with retrospective memory and global cognition (but not executive control), also contribute to the PM difficulties seen in this group. The implications of these data are discussed, and in particular, it is argued that problems with PM may help explain why patient engagement in CHF self-care behaviors is often poor. (JINS, 2015, 21, 1-10)</p
Generalized kinetic and evolution equations in the approach of the nonequilibrium statistical operator
The method of the nonequilibrium statistical operator developed by D. N.
Zubarev is employed to analyse and derive generalized transport and kinetic
equations. The degrees of freedom in solids can often be represented as a few
interacting subsystems (electrons, spins, phonons, nuclear spins, etc.).
Perturbation of one subsystem may produce a nonequilibrium state which is then
relaxed to an equilibrium state due to the interaction between particles or
with a thermal bath. The generalized kinetic equations were derived for a
system weakly coupled to a thermal bath to elucidate the nature of transport
and relaxation processes. It was shown that the "collision term" had the same
functional form as for the generalized kinetic equations for the system with
small interactions among particles. The applicability of the general formalism
to physically relevant situations is investigated. It is shown that some known
generalized kinetic equations (e.g. kinetic equation for magnons, Peierls
equation for phonons) naturally emerges within the NSO formalism. The
relaxation of a small dynamic subsystem in contact with a thermal bath is
considered on the basis of the derived equations. The Schrodinger-type equation
for the average amplitude describing the energy shift and damping of a particle
in a thermal bath and the coupled kinetic equation describing the dynamic and
statistical aspects of the motion are derived and analysed. The equations
derived can help in the understanding of the origin of irreversible behavior in
quantum phenomena.Comment: 21 pages, Revte
Extra Dirac Equations
This paper has rather a pedagogical meaning. Surprising symmetries in the
Lorentz group representation space are analyzed. The aim is
to draw reader's attention to the possibility of describing the particle world
on the ground of the Dirac "doubles". Several tune points of the variational
principle for this kind of equations are briefly discussed.Comment: REVTeX 3.0, 14p
Thermal Segregation Beyond Navier-Stokes
A dilute suspension of impurities in a low density gas is described by the
Boltzmann and Boltzman-Lorentz kinetic theory. Scaling forms for the species
distribution functions allow an exact determination of the hydrodynamic fields,
without restriction to small thermal gradients or Navier-Stokes hydrodynamics.
The thermal diffusion factor characterizing sedimentation is identified in
terms of collision integrals as functions of the mechanical properties of the
particles and the temperature gradient. An evaluation of the collision
integrals using Sonine polynomial approximations is discussed. Conditions for
segregation both along and opposite the temperature gradient are found, in
contrast to the Navier-Stokes description for which no segregation occurs.Comment: 9 figure
Lagrangian for the Majorana-Ahluwalia Construct
The equations describing self/anti-self charge conjugate states, recently
proposed by Ahluwalia, are re-written to covariant form. The corresponding
Lagrangian for the neutral particle theory is proposed. From a
group-theoretical viewpoint the construct is an example of the
Nigam-Foldy-Bargmann-Wightman-Wigner-type quantum field theory based on the
doubled representations of the extended Lorentz group. Relations with the
Sachs-Schwebel and Ziino-Barut concepts of relativistic quantum theory are
discussed.Comment: 10pp., REVTeX 3.0 fil
Kinetic Theory of a Dilute Gas System under Steady Heat Conduction
The velocity distribution function of the steady-state Boltzmann equation for
hard-core molecules in the presence of a temperature gradient has been obtained
explicitly to second order in density and the temperature gradient. Some
thermodynamical quantities are calculated from the velocity distribution
function for hard-core molecules and compared with those for Maxwell molecules
and the steady-state Bhatnagar-Gross-Krook(BGK) equation. We have found
qualitative differences between hard-core molecules and Maxwell molecules in
the thermodynamical quantities, and also confirmed that the steady-state BGK
equation belongs to the same universality class as Maxwell molecules.Comment: 36 pages, 4 figures, 5 table
The history of degenerate (bipartite) extremal graph problems
This paper is a survey on Extremal Graph Theory, primarily focusing on the
case when one of the excluded graphs is bipartite. On one hand we give an
introduction to this field and also describe many important results, methods,
problems, and constructions.Comment: 97 pages, 11 figures, many problems. This is the preliminary version
of our survey presented in Erdos 100. In this version 2 only a citation was
complete
Statistical Theory of Spin Relaxation and Diffusion in Solids
A comprehensive theoretical description is given for the spin relaxation and
diffusion in solids. The formulation is made in a general
statistical-mechanical way. The method of the nonequilibrium statistical
operator (NSO) developed by D. N. Zubarev is employed to analyze a relaxation
dynamics of a spin subsystem. Perturbation of this subsystem in solids may
produce a nonequilibrium state which is then relaxed to an equilibrium state
due to the interaction between the particles or with a thermal bath (lattice).
The generalized kinetic equations were derived previously for a system weakly
coupled to a thermal bath to elucidate the nature of transport and relaxation
processes. In this paper, these results are used to describe the relaxation and
diffusion of nuclear spins in solids. The aim is to formulate a successive and
coherent microscopic description of the nuclear magnetic relaxation and
diffusion in solids. The nuclear spin-lattice relaxation is considered and the
Gorter relation is derived. As an example, a theory of spin diffusion of the
nuclear magnetic moment in dilute alloys (like Cu-Mn) is developed. It is shown
that due to the dipolar interaction between host nuclear spins and impurity
spins, a nonuniform distribution in the host nuclear spin system will occur and
consequently the macroscopic relaxation time will be strongly determined by the
spin diffusion. The explicit expressions for the relaxation time in certain
physically relevant cases are given.Comment: 41 pages, 119 Refs. Corrected typos, added reference
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