6,864 research outputs found
Universal Time Scale for Thermalization in Two-dimensional Systems
The Fermi-Pasta-Ulam-Tsingou problem, i.e., the problem of energy
equipartition among normal modes in a weakly nonlinear lattice, is here studied
in two types of two-dimensional (2D) lattices, more precisely in lattices with
square cell and triangular cell. We apply the wave-turbulence approach to
describe the dynamics and find multi-wave resonances play a major role in the
transfer of energy among the normal modes. We show that, in general, the
thermalization time in 2D systems is inversely proportional to the squared
perturbation strength in the thermodynamic limit. Numerical simulations confirm
that the results are consistent with the theoretical prediction no matter
systems are translation-invariant or not. It leads to the conclusion that such
systems can always be thermalized by arbitrarily weak many-body interactions.
Moreover, the validity for disordered lattices implies that the localized
states are unstable.Comment: 6 pages, 4 figure
Orientation and Motion of Water Molecules at Air/Water Interface
Analysis of SFG vibrational spectra of OH stretching bands in four
experimental configurations shows that orientational motion of water molecule
at air/water interface is libratory within a limited angular range. This
picture is significantly different from the previous conclusion that the
interfacial water molecule orientation varies over a broad range within the
vibrational relaxation time, the only direct experimental evidence for
ultrafast and broad orientational motion of a liquid interface by Wei et al.
[Phys. Rev. Lett. 86, 4799, (2001)] using single SFG experimental
configuration
Special Purpose Pulsar Telescope for the Detection of Cosmic Gravitational Waves
Pulsars can be used to search for stochastic backgrounds of gravitational
waves of cosmological origin within the very low frequency band (VLF),
to Hz. We propose to construct a special 50 m radio
telescope. Regular timing measurements of about 10 strong millisecond pulsars
will perhaps allow the detection of gravitational waves within VLF or at least
will give a more stringent upper limits.Comment: 5 pages, no figure, Latex fil
Lattice Boltzmann method with nonreflective boundary conditions for low Mach number combustion
The paper presents a lattice Boltzmann (LB) method for premixed and nonpremixed combustion simulations with nonreflective boundary conditions, in contrast to Navier–Stokes solvers or hybrid schemes. The current approach employs different sets of distribution functions for flow, temperature and species fields, which are fully coupled. The discrete equilibrium density distributions are obtained from the Hermite expansions thus thermal compressibility is included. The coupling among the momentum, energy and species transport enables the model to be applicable for reactive flows with chemical heat release. The characteristic boundary conditions are incorporated into the LB scheme to avoid numerical reflections. The multi-relaxation-time collision schemes are applied to all the LB solution procedures to improve numerical stability. With detailed thermodynamics and chemical mechanisms for hydrogen-air, the LB modelling framework is validated against both premixed flame propagation and nonpremixed counterflow diffusion flame benchmarks. Simulations of circular expanding premixed flames further demonstrate the capability of the new reactive LB method. The developed LB methodology retains the advantages of classic LB methods and extends the LB capability to low Mach number combustion with potential applications in mesoscale and microscale combustors, catalysis, fuel cells, batteries and so on
Many-body Green's function theory of ferromagnetic Heisenberg systems with single-ion anisotropies in more than one direction
The behaviour of ferromagnetic systems with single-ion anisotropies in more
than one direction is investigated with many-body Green's function theory
generalizing earlier work with uniaxial anisotropies only. It turns out to be
of advantage to construct Green's functions in terms of the spin operators S^x,
S^y and S^z, instead of the commonly used S^+,S^- and S^z operators. The
exchange energy terms are decoupled by RPA and the single-ion anisotropy terms
by a generalization of the Anderson-Callen decoupling. We stress that in the
derivation of the formalism none of the three spatial axes is special, so that
one is always able to select a reference direction along which a magnetization
component is not zero. Analytical expressions are obtained for all three
components of the magnetization and the expectation values ,
and for any spin quantum number S. The formalism considers both
in-plane and out-of-plane anisotropies. Numerical calculations illustrate the
behaviour of the magnetization for 3-dimensional and 2-dimensional systems for
various parameters. In the 2-dimensional case, the magnetic dipole-dipole
coupling is included, and a comparison is made between in-plane and
out-of-plane anisotropies.Comment: 16 pages, 8 figures, missing figures adde
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