2,080 research outputs found
Many-Body Theory of Synchronization by Long-Range Interactions
Synchronization of coupled oscillators on a -dimensional lattice with the
power-law coupling and randomly distributed intrinsic
frequency is analyzed. A systematic perturbation theory is developed to
calculate the order parameter profile and correlation functions in powers of
. For , the system exhibits a sharp
synchronization transition as described by the conventional mean-field theory.
For , the transition is smeared by the quenched disorder, and the
macroscopic order parameter \Av\psi decays slowly with as |\Av\psi|
\propto g_0^2.Comment: 4 pages, 2 figure
Powder containing 2H-type silicon carbide produced by reacting silicon dioxide and carbon powder in nitrogen atmosphere in the presence of aluminum
The production of powder which contains silicon carbide consisting of 40% of 2H-type silicon carbide, beta type silicon carbide and less than 3% of nitrogen is discussed. The reaction temperature to produce the powder containing 40% of 2H-type silicon carbide is set at above 1550 degrees C in an atmosphere of aluminum or aluminum compounds and nitrogen gas or an antioxidation atmosphere containing nitrogen gas. The mixture ratio of silicon dioxide and carbon powder is 0.55 - 1:2.0 and the contents of aluminum or aluminum compounds within silicon dioxide is less than 3% in weight
Chimera and globally clustered chimera: Impact of time delay
Following a short report of our preliminary results [Phys. Rev. E 79,
055203(R) (2009)], we present a more detailed study of the effects of coupling
delay in diffusively coupled phase oscillator populations. We find that
coupling delay induces chimera and globally clustered chimera (GCC) states in
delay coupled populations. We show the existence of multi-clustered states that
act as link between the chimera and the GCC states. A stable GCC state goes
through a variety of GCC states, namely periodic, aperiodic, long-- and
short--period breathers and becomes unstable GCC leading to global
synchronization in the system, on increasing time delay. We provide numerical
evidence and theoretical explanations for the above results and discuss
possible applications of the observed phenomena.Comment: 10 pages, 10 figures, Accepted in Phys. Rev.
To synchronize or not to synchronize, that is the question: finite-size scaling and fluctuation effects in the Kuramoto model
The entrainment transition of coupled random frequency oscillators presents a
long-standing problem in nonlinear physics. The onset of entrainment in
populations of large but finite size exhibits strong sensitivity to
fluctuations in the oscillator density at the synchronizing frequency. This is
the source for the unusual values assumed by the correlation size exponent
. Locally coupled oscillators on a -dimensional lattice exhibit two
types of frequency entrainment: symmetry-breaking at , and aggregation
of compact synchronized domains in three and four dimensions. Various critical
properties of the transition are well captured by finite-size scaling relations
with simple yet unconventional exponent values.Comment: 9 pages, 1 figure, to appear in a special issue of JSTAT dedicated to
Statphys2
Hole Structures in Nonlocally Coupled Noisy Phase Oscillators
We demonstrate that a system of nonlocally coupled noisy phase oscillators
can collectively exhibit a hole structure, which manifests itself in the
spatial phase distribution of the oscillators. The phase model is described by
a nonlinear Fokker-Planck equation, which can be reduced to the complex
Ginzburg-Landau equation near the Hopf bifurcation point of the uniform
solution. By numerical simulations, we show that the hole structure clearly
appears in the space-dependent order parameter, which corresponds to the
Nozaki-Bekki hole solution of the complex Ginzburg-Landau equation.Comment: 4 pages, 4 figures, to appear in Phys. Rev.
Synchronization Transition in the Kuramoto Model with Colored Noise
We present a linear stability analysis of the incoherent state in a system of
globally coupled, identical phase oscillators subject to colored noise. In that
we succeed to bridge the extreme time scales between the formerly studied and
analytically solvable cases of white noise and quenched random frequencies.Comment: 4 pages, 2 figure
Hybridization effects and multipole orders in Pr skutterudites
Theoretical account is given of 4f-electron dynamics and multipole orders in
Pr skutterudites with particular attention to (i) mechanism of the crystalline
electric field (CEF) splitting leading to a pseudo-quartet ground state;(ii)
Kondo effect due to exchange interactions involving the pseudo-quartet;(iii)
multipole orders in the lattice of the pseudo-quartet in magnetic
field.Competition between the point-charge interaction andhybridization between
4f and conduction electrons is identified as the key for controlling the CEF
splitting. It is found that one of two pseudo-spins forming the pseudo-quartet
has a ferromagnetic exchange, while the other has an antiferromagnetic exchange
with conduction electrons. The Kondo effect is clearly seen in the resistivity
calculated by the NCA, provided the low-lying triplet above the singlet is
mainly composed of the -type wave functions.If the weight of the
-type is large in the triplet, the Kondo effect does not appear.This
difference caused by the nature of the triplet explains the presence of the
Kondo effect inPrFeP, and its absence in PrOsSb.By taking
the minimal model with antiferro-quadrupole (AFQ) and ferro-type intersite
interactions for dipoles and octupoles between nearest-neighbors,the mean-field
theory reproduces the overall feature of the multiple ordered phases in
PrFeP. The AFQ order with the -type symmetry is found to
be stable only as a mixture of and components.Comment: 21 pages, to be published in proc. YKIS200
Collective phase synchronization in locally-coupled limit-cycle oscillators
We study collective behavior of locally-coupled limit-cycle oscillators with
scattered intrinsic frequencies on -dimensional lattices. A linear analysis
shows that the system should be always desynchronized up to . On the other
hand, numerical investigation for and 6 reveals the emergence of the
synchronized (ordered) phase via a continuous transition from the fully random
desynchronized phase. This demonstrates that the lower critical dimension for
the phase synchronization in this system is $d_{l}=4
Chimera States for Coupled Oscillators
Arrays of identical oscillators can display a remarkable spatiotemporal
pattern in which phase-locked oscillators coexist with drifting ones.
Discovered two years ago, such "chimera states" are believed to be impossible
for locally or globally coupled systems; they are peculiar to the intermediate
case of nonlocal coupling. Here we present an exact solution for this state,
for a ring of phase oscillators coupled by a cosine kernel. We show that the
stable chimera state bifurcates from a spatially modulated drift state, and
dies in a saddle-node bifurcation with an unstable chimera.Comment: 4 pages, 4 figure
Globally clustered chimera states in delay--coupled populations
We have identified the existence of globally clustered chimera states in
delay coupled oscillator populations and find that these states can breathe
periodically, aperiodically and become unstable depending upon the value of
coupling delay. We also find that the coupling delay induces frequency
suppression in the desynchronized group. We provide numerical evidence and
theoretical explanations for the above results and discuss possible
applications of the observed phenomena.Comment: Accepted in Phys. Rev. E as a Rapid Communicatio
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