308 research outputs found
Casimir amplitudes in a quantum spherical model with long-range interaction
A -dimensional quantum model system confined to a general hypercubical
geometry with linear spatial size and ``temporal size'' ( -
temperature of the system) is considered in the spherical approximation under
periodic boundary conditions. For a film geometry in different space dimensions
, where is a parameter
controlling the decay of the long-range interaction, the free energy and the
Casimir amplitudes are given. We have proven that, if , the Casimir
amplitude of the model, characterizing the leading temperature corrections to
its ground state, is . The last implies that the universal constant of
the model remains the same for both short, as well as long-range interactions,
if one takes the normalization factor for the Gaussian model to be such that
. This is a generalization to the case of long-range interaction
of the well known result due to Sachdev. That constant differs from the
corresponding one characterizing the leading finite-size corrections at zero
temperature which for is .Comment: 10 pages latex, no figures, to appear in EPJB (2000
Low-temperature regimes and finite-size scaling in a quantum spherical model
A --dimensional quantum model in the spherical approximation confined to a
general geometry of the form (--linear space size and --temporal size) and
subjected to periodic boundary conditions is considered. Because of its close
relation with the quantum rotors model it can be regarded as an effective model
for studying the low-temperature behavior of the quantum Heisenberg
antiferromagnets. Due to the remarkable opportunity it offers for rigorous
study of finite-size effects at arbitrary dimensionality this model may play
the same role in quantum critical phenomena as the popular Berlin-Kac spherical
model in classical critical phenomena. Close to the zero-temperature quantum
critical point, the ideas of finite-size scaling are utilized to the fullest
extent for studying the critical behavior of the model. For different
dimensions and a detailed analysis, in terms
of the special functions of classical mathematics, for the free energy, the
susceptibility and the equation of state is given. Particular attention is paid
to the two-dimensional case.Comment: 36 pages, Revtex+epsf, 3 figures included. Some minor corrections are
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On the finite-size behavior of systems with asymptotically large critical shift
Exact results of the finite-size behavior of the susceptibility in
three-dimensional mean spherical model films under Dirichlet-Dirichlet,
Dirichlet-Neumann and Neumann-Neumann boundary conditions are presented. The
corresponding scaling functions are explicitly derived and their asymptotics
close to, above and below the bulk critical temperature are obtained. The
results can be incorporated in the framework of the finite-size scaling theory
where the exponent characterizing the shift of the finite-size
critical temperature with respect to is smaller than , with
being the critical exponent of the bulk correlation length.Comment: 24 pages, late
Non-universal size dependence of the free energy of confined systems near criticality
The singular part of the finite-size free energy density of the O(n)
symmetric field theory in the large-n limit is calculated at finite
cutoff for confined geometries of linear size L with periodic boundary
conditions in 2 < d < 4 dimensions. We find that a sharp cutoff
causes a non-universal leading size dependence
near which dominates the universal scaling term . This
implies a non-universal critical Casimir effect at and a leading
non-scaling term of the finite-size specific heat above .Comment: RevTex, 4 page
Out-of-equilibrium properties of the semi-infinite kinetic spherical model
We study the ageing properties of the semi-infinite kinetic spherical model
at the critical point and in the ordered low-temperature phase, both for
Dirichlet and Neumann boundary conditions. The surface fluctuation-dissipation
ratio and the scaling functions of two-time surface correlation and response
functions are determined explicitly in the dynamical scaling regime. In the
low-temperature phase our results show that for the case of Dirichlet boundary
conditions the value of the non-equilibrium surface exponent differs from
the usual bulk value of systems undergoing phase ordering.Comment: 22 pages, 4 figures included, submitted to J. Phys.
Sinteza i antihipoksično djelovanje alifatskih i arilalifatskih amida kofein-8-tioglikolne kiseline
The synthesis of some aliphatic and arylaliphatic amides of caffeine-8-thioglycolic acid was studied. The structures of synthesized compounds were proved by microanalyses, IR- and 1H NMR data. Values of acute p.o. and i.p. toxicity in mice show lower toxicity compared to caffeine. Declines in spontaneous locomotor activity support the idea of depressive CNS activity of the compounds. Two compounds exhibited brain antihypoxic activity (5a and 5b against haemic and circulatory hypoxia, respectively).U radu je opisana sinteza alifatskih i arilalifatskih amida kofein-8-tioglikolne kiseline i njihova karakterizacija elementarnom analizom, IR- i 1H NMR spektroskopijom. Testiranja na miševima pokazuju da su sintetizirani spojevi primijenjeni p.o. i i.p. manje toksični od kofeina. Smanjenje lokomotoričke aktivnosti podupire ideju o njihovom depresivnom djelovanju na SŽS. Spojevi 5a i 5b djeluju antihipoksički u uvjetima krvne i cirkulacijske hipoksije u mozgu
Exact Three Dimensional Casimir Force Amplitude, -function and Binder's Cumulant Ratio: Spherical Model Results
The three dimensional mean spherical model on a hypercubic lattice with a
film geometry under periodic boundary conditions is
considered in the presence of an external magnetic field . The universal
Casimir amplitude and the Binder's cumulant ratio are calculated
exactly and found to be and
A discussion on the relations
between the finite temperature -function, usually defined for quantum
systems, and the excess free energy (due to the finite-size contributions to
the free energy of the system) scaling function is presented. It is
demonstrated that the -function of the model equals 4/5 at the bulk critical
temperature . It is analytically shown that the excess free energy is a
monotonically increasing function of the temperature and of the magnetic
field in the vicinity of This property is supposed to hold for any
classical -dimensional model with a film geometry under periodic
boundary conditions when . An analytical evidence is also presented to
confirm that the Casimir force in the system is negative both below and in the
vicinity of the bulk critical temperature Comment: 12 pages revtex, one eps figure, submitted to Phys. Rev E A set of
references added with the text needed to incorporate them. Small changes in
the title and in the abstrac
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