
D. Rogula
:
Statistical physics of stringlike objects in condensed matter.
Dislocations and superconducting vortices

J.E. Allen
:
On the charging of a dust particle immersed in a plasma: theory and experiment

M. Aleksiejuk and M.A. Knyazev
:
Anharmonic polarization of ferroelectric ceramics in alternating field. I: Large damping

M. Sztyren
:
Bicontinuum modelling of layered structures and crystalline interfaces

Cz. Rymarz
:
Modeling of material continua with defected and ordered microstructures

M. Borysiewicz, S. Potempski and R. Żelazny
:
Implementation of preoperational version of RODOS System in the
Center for Radiological Events of the National Atomic Energy
Agency in Poland

J. Avsec and M. Marčič
:
Comparison of thermodynamic functions calculated by means of various methods

K.M. Gawrylczyk
:
Sensitivity analysis of electromagnetic quantities by means of FEM
Brief Notes

T. LenkowskaCzerwińska
:
Inhomogeneous superconductivity and vortices in the stripe states

S. Poria and H.P Mazumdar
:
Oscillating magnetohydrodynamic flow past a rigid plane wall

D. Rogula
:
Statistical physics of stringlike objects in condensed matter.
Dislocations and superconducting vortices

Material media containing dense distributions of linear,
stringlike objects are considered. Dislocation lines in
structured solids and supercurrent vortices in typeII
superconductors are exemplifications of such objects. The strings
are assumed to carry a quantized Abelian topological charge, such
as the Burgers vector or magnetic flux. The basic formulations of
statistical physics of such systems are discussed. Contrary to the
special cases of rectilinear strings, which reduce effectively to
2D systems of pointlike particles, the statistical physics of 3D
networks of flexible strings is treated on a stand alone basis
from the first principles. The presented description takes into
account the quenched, thermal, and quantum disorder in a unified
way. Implications for the macroscopic setting are discussed.
Contents

J.E. Allen
:
On the charging of a dust particle immersed in a plasma: theory and experiment

A review is given of the theory of charging of a dust
particle according to the Orbital Motion Limited (OML) theory.
This is followed by a summary of a more complete orbital theory
that includes the concept of an absorption radius, or effective
potential barrier, for the positive ions. Measurements of the
charge acquired by a dust particle are then described, using the
method of damped dust oscillations employed at Oxford.
Contents

M. Aleksiejuk and M.A. Knyazev
:
Anharmonic polarization of ferroelectric ceramics in alternating field. I: Large damping

Polarization of ferroelectric ceramics in an alternating
electric field with frequency ω in a case when damping is
large is considered. For the twotype of ions phenomenological
model of ferroelectrics which includes only two types of ions of
the crystalic lattice, the nonlinear anharmonic equation for
polarization is considered. By perturbation method the solution of
this equation in the first order in anharmonicity coefficient is
constructed. It is shown that an additional oscillations of
polarisation with frequency ω/2 and phase shift between
real and imaginary components of polarization appeared.
Contents

M. Sztyren
:
Bicontinuum modelling of layered structures and crystalline interfaces

To the memory of Ekkehart Kröner.
The bicontinuum model composed of two interpenetrating and dynamically coupled material
continua is analysed as a simplified but relatively accurate way to describe some
physical phenomena in crystalline solids. The essential novelty of our approach consists
in treating a crystalline medium as a bicontinuum, even if the crystalline lattice is
structurally singlecomponent. Particular attention is paid to the oscillatory behaviour
of solutions on the atomic level. Starting from a discrete atomic chain, the basic
formulation of the bicontinuum model is derived. The essential features of the model,
including accuracy of the results as functions of physical parameters, are discussed.
Contents

Cz. Rymarz
:
Modeling of material continua with defected and ordered microstructures

The paper contains a short presentation of some models
of material continua with microstructure applying the methods of
differential geometry. Two main kinds of microstructure are
considered: dislocation, disclination, and unholonomic defects in
plasticity, nematic liquid crystal as an example of oriented
medium. The aim of this presentation is to illustrate the
effectiveness of the methods of differential geometry in
construction of the theory of microstructural media.
Contents

M. Borysiewicz, S. Potempski and R. Żelazny
:
Implementation of preoperational version of RODOS System in the
Center for Radiological Events of the National Atomic Energy
Agency in Poland
 This paper is devoted to the comprehensive description of the implementation of
the RODOS System in the Center for Radiological Events (CEZAR) of the National Atomic
Energy Agency in Poland. First the history of the RODOS Project of the European
Commission is presented, followed by the description of the structure and modules of this
comprehensive Software Package, aimed to assist in the management of the nuclear
emergency problems following the nuclear accident in Europe. Then the adaptation of the
software to Polish national conditions is explained taking into account the radiological
data prevailing on the Polish territory. All the data bases connected with meteorology,
contamination transport parameters in humans and their ecological systems have been
collected and applied to meet the specific dietary habits, soil structures, agricultural
situation and other specific condition in this country. Those data have been introduced
into the system after appropriate adaptations to the specific requirements of the modules
of the RODOS System. Furthermore, the network system connected with the RODOS
preoperational version in CEZAR is described enabling online cooperation with the
Institute of Meteorology and Water Management (IMWM) and the Central Laboratory for
Radiological Protection (CLOR) as well as with the Institute of Atomic Energy (IAE),
which plays the role of Technical Support Organization with respect to this System. IAE
has participated in the development of the RODOS System within the 4th and 5th Research
Frameworks of EU and acknowledges here with gratitude the Implementation Grant from the
State Committee of Scientific Research and National Atomic Energy Agency in Poland. This
Grant has created the basis for the implementation of the RODOS System in Poland within
the framework and assistance of the ECHO contract of the EU.
Contents

J. Avsec and M. Marčič
:
Comparison of thermodynamic functions calculated by means of various methods

The paper deals with the LennardJones fluid and
presents the mathematical model of computating thermodynamic
functions of state in the liquid and gas domain by means of
statistical thermodynamics. To calculate the thermodynamic
properties of a real fluid, we used the JohnsonZollwegGubbins
model based on the modified BenedictWebbRubin equation of state,
the ChunxiYiguiJiufang equation of state based on the simple
perturbation theory, and the complex TangTongLu model based on
the solution of the OrnsteinZernike equation obtained by means of
the perturbation theory. The analytical results are compared with
the thermodynamical data, and with the results obtained from
classical thermodynamics.
Contents

K.M. Gawrylczyk
:
Sensitivity analysis of electromagnetic quantities by means of FEM

Sensitivity analysis determines the dependence of global
or local electromagnetic quantities on geometrical or physical
parameters expressed in the form of an objective function. The
final aim of the field calculation methods is generally the design
of an electromagnetic device. Solution of inverse problem on the
basis of the finite elements method (FEM) makes the optimal shape
design possible, as well as the identification of material cracks
and flaws inside the conducting materials with the help of the
eddycurrent method. These tasks can be defined similarly for
recognition of the spatial distribution of material parameters.
The recognition takes place in iterative manner, basing on
gradient information derived from the sensitivity analysis. The
work deals with sensitivity evaluation in conjunction with finite
element algorithms. It will be shown that the sensitivity analysis
necessary to solve an inverse problem, requires only a low
additional calculation cost.
Contents

T. LenkowskaCzerwińska
:
Inhomogeneous superconductivity and vortices in the stripe states

Spatially inhomogeneous features in the spin and charge structures have been
indicated in the number of experiments on high temperature materials e.g.
La_{2x}Sr_{x}CuO_{4}. The simple realization of this state is
striped domain wall where charges form a nanoscale linear pattern in an
antiferromagnetically ordered isolator. These represent a nanoscale distribution of
charge and spin that is believed to be commensurably locked by the tilt distortions of
the lattice.
The phenomenological model of charge and spin inhomogeneities in
the stripe phase of superconducting cuprates on the ground of
GinzburgLandau theory is proposed. The corresponding free energy
for the coupled charge and spindensity wave, and superconducting
order parameters is constructed. The phase diagram for
inhomogeneous superconducting state is discussed. The effective
coherence length and the penetration depth in the London limit are
introduced. The critical magnetic fields and the energy of the
isolated vortex line are obtained.
Contents

S. Poria and H.P Mazumdar
:
Oscillating magnetohydrodynamic flow past a rigid plane wall

In this paper, the effects of a magnetic field acting
perpendicularly to the direction of an oscillatory, viscous,
conducting, incompressible fluid stream past a fixed plane wall is
investigated. The problem is first converted to the Stokes second
problem by introducing a new coordinate system and prescribing the
appropriate forms for the pressure gradient corresponding to two
sets of boundary and initial conditions. Solutions to the problem
are then obtained by invoking an invariance principle, and
computed numerically for different values of a magnetic parameter.
The effects of the transversal magnetic field on the velocity
profiles are finally discussed.
Contents
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