Contrarian-like behavior and system size stochastic resonance in an opinion spreading model

2006 ◽  
Vol 371 (1) ◽  
pp. 108-111 ◽  
Author(s):  
Horacio S. Wio ◽  
Marta S. de la Lama ◽  
Juan M. López
Keyword(s):  
Stochastic Resonance ◽  
System Size ◽  
Spreading Model

System size stochastic resonance in driven finite arrays of coupled bistable elements

2010 ◽  
Vol 74 (2) ◽  
pp. 211-215 ◽  
Author(s):  
M. Morillo ◽  
J. Gómez-Ordóñez ◽  
J. M. Casado
Keyword(s):  
Stochastic Resonance ◽  
System Size

scholarly journals System size stochastic resonance in asymmetric bistable coupled network systems

2014 ◽  
Vol 63 (22) ◽  
pp. 220503
Author(s):  
Sun Zhong-Kui ◽  
Lu Peng-Ju ◽  
Xu Wei
Keyword(s):  
Stochastic Resonance ◽  
System Size ◽  
Network Systems

scholarly journals INTERPLAY BETWEEN CHAOS AND EXTERNAL NOISE IN AN EXTENDED SYSTEM: IMPROVED FORECASTING DUE TO INTRINSIC STOCHASTIC RESONANT PHENOMENA

2010 ◽  
Vol 20 (02) ◽  
pp. 213-224 ◽  
Author(s):  
JORGE A. REVELLI ◽  
MIGUEL A. RODRIGUEZ ◽  
HORACIO S. WIO
Keyword(s):  
Stochastic Resonance ◽  
System Size ◽  
External Noise ◽  
Resonance Phenomenon ◽  
Periodic Signal ◽  
Extended System ◽  
Underlying Mechanisms ◽  
Lorenz 96 ◽  
Stochastic Resonance Phenomenon ◽  
Resonant Phenomena

We have investigated the effects of noise on an extended chaotic system using as benchmark the Lorenz'96 model. The analysis of the system's time evolution and its time and space correlations show numerical evidence for two distinct stochastic resonance-like behaviors as a function of the external noise intensity, or the system size, and they result to be only weakly sensitive to an external periodic signal. The underlying mechanisms can be associated to a noise induced chaos reduction. A new view of the stochastic resonance phenomenon in a nonstationary situation is shown, studying the resonant phenomena implications in forecasting by exploiting a new method that quantifies the reduction of chaos error evolution process.

Stochastic resonance in the peripheral auditory system

2014 ◽  
Vol 2 ◽  
pp. 417-420
Author(s):  
Florian Gomez ◽  
Stefan Martignoli ◽  
Ruedi Stoop
Keyword(s):  
Stochastic Resonance ◽  
Auditory System ◽  
Peripheral Auditory System

Information Aggregation via Stochastic Resonance in Moments

2014 ◽  
Vol 1 ◽  
pp. 13-16
Author(s):  
Akihisa Ichiki ◽  
Yukihiro Tadokoro
Keyword(s):  
Stochastic Resonance ◽  
Information Aggregation

Hybrid Vibration Energy Harvester based on Stochastic Resonance

2018 ◽  
Vol 138 (5) ◽  
pp. 185-190
Author(s):  
Meng Su ◽  
Dai Kobayashi ◽  
Nobuyuki Takama ◽  
Beomjoon Kim
Keyword(s):  
Stochastic Resonance ◽  
Energy Harvester ◽  
Vibration Energy ◽  
Vibration Energy Harvester

Divergence of Many-Body Perturbation Theory for Noncovalent Interactions of Large Molecules

2019 ◽  
Author(s):  
Brian Nguyen ◽  
Guo P Chen ◽  
Matthew M. Agee ◽  
Asbjörn M. Burow ◽  
Matthew Tang ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
System Size ◽  
State Density ◽  
Second Order ◽  
Binding Energies ◽  
Basis Set ◽  
Many Body ◽  
Many Body Perturbation Theory ◽  
Relative Errors ◽  
Ground State Density

Prompted by recent reports of large errors in noncovalent interaction (NI) energies obtained from many-body perturbation theory (MBPT), we compare the performance of second-order Møller–Plesset MBPT (MP2), spin-scaled MP2, dispersion-corrected semilocal density functional approximations (DFA), and the post-Kohn–Sham random phase approximation (RPA) for predicting binding energies of supramolecular complexes contained in the S66, L7, and S30L benchmarks. All binding energies are extrapolated to the basis set limit, corrected for basis set superposition errors, and compared to reference results of the domain-based local pair-natural orbital coupled-cluster (DLPNO-CCSD(T)) or better quality. Our results confirm that MP2 severely overestimates binding energies of large complexes, producing relative errors of over 100% for several benchmark compounds. RPA relative errors consistently range between 5-10%, significantly less than reported previously using smaller basis sets, whereas spin-scaled MP2 methods show limitations similar to MP2, albeit less pronounced, and empirically dispersion-corrected DFAs perform almost as well as RPA. Regression analysis reveals a systematic increase of relative MP2 binding energy errors with the system size at a rate of approximately 1‰ per valence electron, whereas the RPA and dispersion-corrected DFA relative errors are virtually independent of the system size. These observations are corroborated by a comparison of computed rotational constants of organic molecules to gas-phase spectroscopy data contained in the ROT34 benchmark. To analyze these results, an asymptotic adiabatic connection symmetry-adapted perturbation theory (AC-SAPT) is developed which uses monomers at full coupling whose ground-state density is constrained to the ground-state density of the complex. Using the fluctuation–dissipation theorem, we obtain a nonperturbative “screened second-order” expression for the dispersion energy in terms of monomer quantities which is exact for non-overlapping subsystems and free of induction terms; a first-order RPA-like approximation to the Hartree, exchange, and correlation kernel recovers the macroscopic Lifshitz limit. The AC-SAPT expansion of the interaction energy is obtained from Taylor expansion of the coupling strength integrand. Explicit expressions for the convergence radius of the AC-SAPT series are derived within RPA and MBPT and numerically evaluated. Whereas the AC-SAPT expansion is always convergent for nondegenerate monomers when RPA is used, it is found to spuriously diverge for second-order MBPT, except for the smallest and least polarizable monomers. The divergence of the AC-SAPT series within MBPT is numerically confirmed within RPA; prior numerical results on the convergence of the SAPT expansion for MBPT methods are revisited and support this conclusion once sufficiently high orders are included. The cause of the failure of MBPT methods for NIs of large systems is missing or incomplete “electrodynamic” screening of the Coulomb interaction due to induced particle–hole pairs between electrons in different monomers, leaving the effective interaction too strong for AC-SAPT to converge. Hence, MBPT cannot be considered reliable for quantitative predictions of NIs, even in moderately polarizable molecules with a few tens of atoms. The failure to accurately account for electrodynamic polarization makes MBPT qualitatively unsuitable for applications such as NIs of nanostructures, macromolecules, and soft materials; more robust non-perturbative approaches such as RPA or coupled cluster methods should be used instead whenever possible.<br>

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