853 research outputs found
Thermodynamics of the one-dimensional frustrated Heisenberg ferromagnet with arbitrary spin
The thermodynamic quantities (spin-spin correlation functions <{\bf S}_0{\bf
S}_n>, correlation length {\xi}, spin susceptibility {\chi}, and specific heat
C_V) of the frustrated one-dimensional J1-J2 Heisenberg ferromagnet with
arbitrary spin quantum number S below the quantum critical point, i.e. for J2<
|J1|/4, are calculated using a rotation-invariant Green-function formalism and
full diagonalization as well as a finite-temperature Lanczos technique for
finite chains of up to N=18 sites. The low-temperature behavior of the
susceptibility {\chi} and the correlation length {\xi} is well described by
\chi = (2/3)S^4 (|J1|-4J2) T^{-2} + A S^{5/2} (|J1|-4J2)^{1/2} T^{-3/2} and \xi
= S^2 (|J1|-4J2) T^{-1} + B S^{1/2} (|J1|-4J2)^{1/2} T^{-1/2} with A \approx
1.1 ... 1.2 and B \approx 0.84 ... 0.89. The vanishing of the factors in front
of the temperature at J2=|J1|/4 indicates a change of the critical behavior of
{\chi} and {\xi} at T \to 0. The specific heat may exhibit an additional
frustration-induced low-temperature maximum when approaching the quantum
critical point. This maximum appears for S=1/2 and S=1, but was not found for
S>1.Comment: 8 pages, 7 figure
Magnetic order in the quasi-two-dimensional easy-plane XXZ model
A Green's-function theory of antiferromagnetic short-range and long-range
order (LRO) in the quasi-two-dimensional easy-plane XXZ model is
presented. As the main new result, {\it two} phase transitions due to the
combined influence of spatial and spin anisotropy are found, where below the
higher and lower N\'{e}el temperature there occurs LRO in the transverse and in
both the transverse and longitudinal spin correlators, respectively. Comparing
the theory with neutron-scattering data for the correlation length of , a very good agreement in the whole temperature dependence is
obtained. Moreover, for , , and the second phase with longitudinal LRO is predicted to
appear far below room temperature.Comment: 7 pages, 5 figure
Polaron physics and crossover transition in magnetite probed by pressure-dependent infrared spectroscopy
The optical properties of magnetite at room temperature were studied by
infrared reflectivity measurements as a function of pressure up to 8 GPa. The
optical conductivity spectrum consists of a Drude term, two sharp phonon modes,
a far-infrared band at around 600 cm, and a pronounced mid-infrared
absorption band. With increasing pressure both absorption bands shift to lower
frequencies and the phonon modes harden in a linear fashion. Based on the shape
of the MIR band, the temperature dependence of the dc transport data, and the
occurrence of the far-infrared band in the optical conductivity spectrum the
polaronic coupling strength in magnetite at room temperature should be
classified as intermediate. For the lower-energy phonon mode an abrupt increase
of the linear pressure coefficient occurs at around 6 GPa, which could be
attributed to minor alterations of the charge distribution among the different
Fe sites.Comment: 7 pages, 7 figure
Assessment of reward-related brain function after a single-dose of oxytocin in autism: A randomized controlled trial
Background Autism spectrum disorder (ASD) is characterized by difficulties in social communication and interaction, which have been related to atypical neural processing of rewards, especially in the social domain. Since intranasal oxytocin has been shown to modulate activation of the brain’s reward circuit, oxytocin might ameliorate the processing of social rewards in ASD and thus improve social difficulties. Methods In this randomized, double-blind, placebo-controlled, crossover fMRI study, we examined effects of a 24 IU dose of intranasal oxytocin on reward-related brain function in 37 men with ASD without intellectual impairment and 37 age- and IQ-matched control participants. Participants performed an incentive delay task that allows the investigation of neural activity associated with the anticipation and receipt of monetary and social rewards. Results Non-significant tests suggested that oxytocin did not influence neural processes related to the anticipation of social or monetary rewards in either group. Complementary Bayesian analyses indicated moderate evidence for a null model, relative to an alternative model. Our results are inconclusive regarding possible oxytocin effects on amygdala responsiveness to social rewards during reward consumption. There were no significant differences in reward-related brain function between the two groups under placebo. Conclusions Our results do not support the hypothesis that intranasal oxytocin generally enhances activation of reward-related neural circuits in men with and without ASD
Approximate Ginzburg-Landau solution for the regular flux-line lattice. Circular cell method
A variational model is proposed to describe the magnetic properties of
type-II superconductors in the entire field range between and
for any values of the Ginzburg-Landau parameter . The
hexagonal unit cell of the triangular flux-line lattice is replaced by a circle
of the same area, and the periodic solutions to the Ginzburg-Landau equations
within this cell are approximated by rotationally symmetric solutions. The
Ginzburg-Landau equations are solved by a trial function for the order
parameter. The calculated spatial distributions of the order parameter and the
magnetic field are compared with the corresponding distributions obtained by
numerical solution of the Ginzburg-Landau equations. The comparison reveals
good agreement with an accuracy of a few percent for all values
exceeding . The model can be extended to anisotropic
superconductors when the vortices are directed along one of the principal axes.
The reversible magnetization curve is calculated and an analytical formula for
the magnetization is proposed. At low fields, the theory reduces to the London
approach at , provided that the exact value of is used.
At high fields, our model reproduces the main features of the well-known
Abrikosov theory. The magnetic field dependences of the reversible
magnetization found numerically and by our variational method practically
coincide. The model also refines the limits of some approximations which have
been widely used. The calculated magnetization curves are in a good agreement
with experimental data on high-T superconductors.Comment: 8 pages, RevTex, 6 figures, submitted to Phys. Rev.
Thermodynamics of Heisenberg ferromagnets with arbitrary spin in a magnetic field
The thermodynamic properties (magnetization, magnetic susceptibility,
transverse and longitudinal correlation lengths, specific heat) of one- and
two-dimensional ferromagnets with arbitrary spin S in a magnetic field are
investigated by a second-order Green-function theory. In addition, quantum
Monte Carlo simulations for S= 1/2 and S=1 are performed using the stochastic
series expansion method. A good agreement between the results of both
approaches is found. The field dependence of the position of the maximum in the
temperature dependence of the susceptibility fits well to a power law at low
fields and to a linear increase at high fields. The maximum height decreases
according to a power law in the whole field region. The longitudinal
correlation length may show an anomalous temperature dependence: a minimum
followed by a maximum with increasing temperature. Considering the specific
heat in one dimension and at low magnetic fields, two maxima in its temperature
dependence for both the S= 1/2 and S = 1 ferromagnets are found. For S>1 only
one maximum occurs, as in the two-dimensional ferromagnets. Relating the theory
to experiments on the S= 1/2 quasi-one-dimensional copper salt TMCuC
[(CH_3)_4NCuCl_3], a fit to the magnetization as a function of the magnetic
field yields the value of the exchange energy which is used to make predictions
for the occurrence of two maxima in the temperature dependence of the specific
heat.Comment: 17 pages, 19 figures, submitted to Phys. Rev.
Multi-Particle Collision Dynamics -- a Particle-Based Mesoscale Simulation Approach to the Hydrodynamics of Complex Fluids
In this review, we describe and analyze a mesoscale simulation method for
fluid flow, which was introduced by Malevanets and Kapral in 1999, and is now
called multi-particle collision dynamics (MPC) or stochastic rotation dynamics
(SRD). The method consists of alternating streaming and collision steps in an
ensemble of point particles. The multi-particle collisions are performed by
grouping particles in collision cells, and mass, momentum, and energy are
locally conserved. This simulation technique captures both full hydrodynamic
interactions and thermal fluctuations. The first part of the review begins with
a description of several widely used MPC algorithms and then discusses
important features of the original SRD algorithm and frequently used
variations. Two complementary approaches for deriving the hydrodynamic
equations and evaluating the transport coefficients are reviewed. It is then
shown how MPC algorithms can be generalized to model non-ideal fluids, and
binary mixtures with a consolute point. The importance of angular-momentum
conservation for systems like phase-separated liquids with different
viscosities is discussed. The second part of the review describes a number of
recent applications of MPC algorithms to study colloid and polymer dynamics,
the behavior of vesicles and cells in hydrodynamic flows, and the dynamics of
viscoelastic fluids
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