230 research outputs found
Mode-coupling theory and molecular dynamics simulation for heat conduction in a chain with transverse motions
We study heat conduction in a one-dimensional chain of particles with
longitudinal as well as transverse motions. The particles are connected by
two-dimensional harmonic springs together with bending angle interactions. The
problem is analyzed by mode-coupling theory and compared with molecular
dynamics. We find very good, quantitative agreement for the damping of modes
between a full mode-coupling theory and molecular dynamics result, and a
simplified mode-coupling theory gives qualitative description of the damping.
The theories predict generically that thermal conductance diverges as N^{1/3}
as the size N increases for systems terminated with heat baths at the ends. The
N^{2/5} dependence is also observed in molecular dynamics which we attribute to
crossover effect.Comment: 17 pages, 13 figure
Thermal diode: Rectification of heat flux
By coupling two nonlinear one dimensional lattices, we demonstrate a thermal
diode model that works in a wide range of system parameters. We provide
numerical and analytical evidence for the underlying mechanism which allows
heat flux in one direction while the system acts like an insulator when the
temperature gradient is reversed. The possible experimental realization in nano
scale systems is briefly discussed.Comment: 4 pages, 5 figs in publication for
Heat conductivity in linear mixing systems
We present analytical and numerical results on the heat conduction in a
linear mixing system. In particular we consider a quasi one dimensional channel
with triangular scatterers with internal angles irrational multiples of pi and
we show that the system obeys Fourier law of heat conduction. Therefore
deterministic diffusion and normal heat transport which are usually associated
to full hyperbolicity, actually take place in systems without exponential
instability.Comment: Revtex, 4 pages, 6 EPS figure
Ballistic magneto-thermal transport in a Heisenberg spin chain at low temperatures
We study ballistic thermal transport in Heisenberg spin chain with
nearest-neighbor ferromagnetic interactions at low temperatures. Explicit
expressions for transmission coefficients are derived for thermal transport in
a periodic spin chain of arbitrary junction length by a spin-wave model. Our
analytical results agree very well with the ones from nonequilibrium Green's
function method. Our study shows that the transmission coefficient oscillates
with the frequency of thermal wave. Moreover, the thermal transmission shows
strong dependence on the intrachain coupling, the length of the spin chain, and
the external magnetic field. The results demonstrate the possibility of
manipulating spin-wave propagation and magnetothermal conductance in the
spin-chain junction by adjusting the intrachain coupling and/or the external
magnetic field.Comment: 6 pages, 7 figure
Heat generation and transport due to time-dependent forces
We study heat transport for solids in the presence of arbitrary
time-dependent force. Using nonequilibrium Green's function (NEGF) approach we
present an exact analytical expression of current for the linear system. We
found that the heat current can be expressed in terms of the displacement of
the atoms in the center and the self energy of the baths. We carry out the
calculation for the oscillatory driven force and study the steady state
properties for one-dimensional linear chain and two-dimensional square lattice.
We found that the heat current is related to the density of states of the
system and is independent of the bath temperature in ballistic transport. The
baths absorb energy only when their intrinsic frquency resonates with the
applied frequency We also generalize the problem for multiple heat baths with
different temperatures. We also discuss the effect due to nonlinear
interactions in the center.Comment: v2 : 9 pages, 9 figure
Elastic and non-linear stiffness of graphene: a simple approach
The recent experiment [Science \textbf{321}, 385 (2008)] on the Young's
modulus and third-order elastic stiffness of graphene are well explained in a
very simple approach, where the graphene is described by a simplified system
and the force constant for the non-linear interaction is estimated from the
Tersoff-Brenner potential.Comment: 4 pages, 4 figure
Negative differential thermal resistance and thermal transistor
We report on the first model of a thermal transistor to control heat flow.
Like its electronic counterpart, our thermal transistor is a three-terminal
device with the important feature that the current through the two terminals
can be controlled by small changes in the temperature or in the current through
the third terminal. This control feature allows us to switch the device between
"off" (insulating) and "on" (conducting) states or to amplify a small current.
The thermal transistor model is possible because of the negative differential
thermal resistance.Comment: 4 pages, 4 figures. SHortened. To appear in Applied Physics Letter
Isotopic effects on the thermal conductivity of graphene nanoribbons: localization mechanism
Thermal conductivity of graphene nanoribbons (GNR) with length 106~{\AA} and
width 4.92~{\AA} after isotopic doping is investigated by molecular dynamics
with quantum correction. Two interesting phenomena are found: (1) isotopic
doping reduces thermal conductivity effectively in low doping region, and the
reduction slows down in high doping region; (2) thermal conductivity increases
with increasing temperature in both pure and doped GNR; but the increasing
behavior is much more slowly in the doped GNR than that in pure ones. Further
studies reveal that the physics of these two phenomena is related to the
localized phonon modes, whose number increases quickly (slowly) with increasing
isotopic doping in low (high) isotopic doping region.Comment: 6 fig
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