Long-range correlations in two-dimensional spatio-temporal seismic fluctuations

2007 ◽  
Vol 377 (1) ◽  
pp. 279-284 ◽  
Author(s):  
Luciano Telesca ◽  
Michele Lovallo ◽  
Vincenzo Lapenna ◽  
Maria Macchiato
Keyword(s):  
Long Range ◽  
Two Dimensional ◽  
Long Range Correlations ◽  
Spatio Temporal

Renormalization-Group Analysis of Two-Dimensional Fluid Stirred by Random Force with Long-Range Correlations

1998 ◽  
Vol 12 (12n13) ◽  
pp. 1291-1300
Author(s):  
J. Honkonen
Keyword(s):  
Renormalization Group ◽  
Long Range ◽  
Group Analysis ◽  
Random Force ◽  
Two Dimensional ◽  
Renormalization Procedure ◽  
Renormalization Group Analysis ◽  
Long Range Correlations ◽  
Physical Consequences ◽  
Local Term

Asymptotic behavior of the solution of the vorticity equation for two-dimensional randomly stirred fluid with long-range correlations of the driving force is analyzed with the aid of field-theoretic renormalization group. It is shown that a local term must be added to the correlation function of the random force for the correct renormalization of the model. This has been overlooked in the earlier work on this model, and the physical consequences of the renormalization-group analysis are re-examined in the framework of the renormalization procedure suggested.

scholarly journals Controlling the anisotropy of a van der Waals antiferromagnet with light

2021 ◽  
Vol 7 (23) ◽  
pp. eabf3096
Author(s):  
Dmytro Afanasiev ◽  
Jorrit R. Hortensius ◽  
Mattias Matthiesen ◽  
Samuel Mañas-Valero ◽  
Makars Šiškins ◽  
...  
Keyword(s):  
Magnetic Anisotropy ◽  
Long Range ◽  
Van Der Waals ◽  
Ultrashort Pulses ◽  
Anisotropy Axis ◽  
Two Dimensional ◽  
Orbital Symmetry ◽  
Nickel Ions ◽  
Long Range Correlations ◽  
Low Dimensional

Van der Waals magnets provide an ideal playground to explore the fundamentals of low-dimensional magnetism and open opportunities for ultrathin spin-processing devices. The Mermin-Wagner theorem dictates that as in reduced dimensions isotropic spin interactions cannot retain long-range correlations, the long-range spin order is stabilized by magnetic anisotropy. Here, using ultrashort pulses of light, we control magnetic anisotropy in the two-dimensional van der Waals antiferromagnet NiPS3. Tuning the photon energy in resonance with an orbital transition between crystal field split levels of the nickel ions, we demonstrate the selective activation of a subterahertz magnon mode with markedly two-dimensional behavior. The pump polarization control of the magnon amplitude confirms that the activation is governed by the photoinduced magnetic anisotropy axis emerging in response to photoexcitation of ground state electrons to states with a lower orbital symmetry. Our results establish pumping of orbital resonances as a promising route for manipulating magnetic order in low-dimensional (anti)ferromagnets.

scholarly journals MONTE-CARLO SIMULATIONS OF PHASE TRANSITIONS IN THE TWO-DIMENSIONAL ISING MODEL WITH LONG-RANGE CORRELATIONS

2017 ◽  
Vol 18 (9) ◽  
pp. 159-163
Author(s):  
A.A. Biryukov ◽  
Y.V. Degtyareva ◽  
M.A. Shleenkov
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Critical Temperature ◽  
Monte Carlo Method ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Long Range ◽  
Temperature Increase ◽  
Two Dimensional ◽  
Long Range Correlations

In this article phase transitions in the modified two-dimensional Ising model with long-range correlations investigated. This model was studied with Monte-Carlo method and Metropolis algorithm. Critical temperature increase is shown in such model.

scholarly journals Long-range spatio-temporal correlations in multimode fibers for pulse delivery

2019 ◽  
Vol 10 (1) ◽  
Author(s):  
Wen Xiong ◽  
Chia Wei Hsu ◽  
Hui Cao
Keyword(s):  
Long Range ◽  
Temporal Correlation ◽  
Power Delivery ◽  
Arrival Times ◽  
Long Range Correlations ◽  
Multimode Fibers ◽  
Temporal Correlations ◽  
Wave Transport ◽  
Mode Space ◽  
Spatio Temporal

Abstract Long-range correlations play an essential role in wave transport through disordered media, but have rarely been studied in other complex systems. Here we discover spatio-temporal intensity correlations for an optical pulse propagating through a multimode fiber with strong random mode coupling. Positive long-range correlation arises from multiple scattering in fiber mode space and depends on the statistical distribution of arrival times. By optimizing the incident wavefront of a pulse, we maximize the power transmitted at a selected time, and such control is significantly enhanced by the long-range spatio-temporal correlation. We provide an explicit relation between the correlation and the power enhancement, which agrees with experimental results. Our work shows that multimode fibers provide a fertile ground for studying complex wave phenomena. The strong spatio-temporal correlation can be employed for efficient power delivery at a well-defined time.

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