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Physical Review. E

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https://www.readbyqxmd.com/read/28505877/destruction-of-anderson-localization-in-quantum-nonlinear-schr%C3%A3-dinger-lattices
#1
Alexander V Milovanov, Alexander Iomin
The four-wave interaction in quantum nonlinear Schrödinger lattices with disorder is shown to destroy the Anderson localization of waves, giving rise to unlimited spreading of the nonlinear field to large distances. Moreover, the process is not thresholded in the quantum domain, contrary to its "classical" counterpart, and leads to an accelerated spreading of the subdiffusive type, with the dispersion 〈(Δn)^{2}〉∼t^{1/2} for t→+∞. The results, presented here, shed light on the origin of subdiffusion in systems with a broad distribution of relaxation times...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505876/intermittency-induced-criticality-in-a-resistor-inductor-diode-circuit
#2
Stelios M Potirakis, Yiannis Contoyiannis, Fotios K Diakonos, Michael P Hanias
The current fluctuations of a driven resistor-inductor-diode circuit are investigated here looking for signatures of critical behavior monitored by the driving frequency. The experimentally obtained time series of the voltage drop across the resistor (as directly proportional to the current flowing through the circuit) were analyzed by means of the method of critical fluctuations in analogy to thermal critical systems. Intermittent criticality was revealed for a critical frequency band signifying the transition between the normal rectifier phase in the low frequencies and a full-wave conducting, capacitorlike phase in the high frequencies...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505875/spatiotemporal-canards-in-neural-field-equations
#3
D Avitabile, M Desroches, E Knobloch
Canards are special solutions to ordinary differential equations that follow invariant repelling slow manifolds for long time intervals. In realistic biophysical single-cell models, canards are responsible for several complex neural rhythms observed experimentally, but their existence and role in spatially extended systems is largely unexplored. We identify and describe a type of coherent structure in which a spatial pattern displays temporal canard behavior. Using interfacial dynamics and geometric singular perturbation theory, we classify spatiotemporal canards and give conditions for the existence of folded-saddle and folded-node canards...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505874/general-neck-condition-for-the-limit-shape-of-budding-vesicles
#4
Pan Yang, Qiang Du, Z C Tu
The shape equation and linking conditions for a vesicle with two phase domains are derived. We refine the conjecture on the general neck condition for the limit shape of a budding vesicle proposed by Jülicher and Lipowsky [Phys. Rev. Lett. 70, 2964 (1993)PRLTAO0031-900710.1103/PhysRevLett.70.2964; Phys. Rev. E 53, 2670 (1996)1063-651X10.1103/PhysRevE.53.2670], and then we use the shape equation and linking conditions to prove that this conjecture holds not only for axisymmetric budding vesicles, but also for asymmetric ones...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505873/restoration-of-dimensional-reduction-in-the-random-field-ising-model-at-five-dimensions
#5
Nikolaos G Fytas, Víctor Martín-Mayor, Marco Picco, Nicolas Sourlas
The random-field Ising model is one of the few disordered systems where the perturbative renormalization group can be carried out to all orders of perturbation theory. This analysis predicts dimensional reduction, i.e., that the critical properties of the random-field Ising model in D dimensions are identical to those of the pure Ising ferromagnet in D-2 dimensions. It is well known that dimensional reduction is not true in three dimensions, thus invalidating the perturbative renormalization group prediction...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505872/quantum-corrections-of-the-truncated-wigner-approximation-applied-to-an-exciton-transport-model
#6
Anton Ivanov, Heinz-Peter Breuer
We modify the path integral representation of exciton transport in open quantum systems such that an exact description of the quantum fluctuations around the classical evolution of the system is possible. As a consequence, the time evolution of the system observables is obtained by calculating the average of a stochastic difference equation which is weighted with a product of pseudoprobability density functions. From the exact equation of motion one can clearly identify the terms that are also present if we apply the truncated Wigner approximation...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505871/phase-behavior-of-the-thermotropic-melt-of-asymmetric-v-shaped-molecules
#7
M A Aliev, N Yu Kuzminyh, E A Ugolkova
The phase behavior of the monodisperse melt of V-shaped molecules composed of two rigid segments of different lengths joined at their ends at an external angle α has been examined within the Landau-de Gennes approach. Each rigid segment consists of a sequence of monomer units; the anisotropic interactions in the system are assumed to be of the Maier-Saupe form. The coefficients of the Landau-de Gennes free-energy expansion have been found from a microscopic model of V-shaped molecule. A single Landau point at which the system undergoes direct continuous transition from isotropic to biaxial nematic phase is found for asymmetry parameter ϕ=1/3 or ϕ=2/3, where ϕ is the number fraction of monomer units in one of the segments...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505870/first-order-phase-transition-in-a-majority-vote-model-with-inertia
#8
Hanshuang Chen, Chuansheng Shen, Haifeng Zhang, Guofeng Li, Zhonghuai Hou, Jürgen Kurths
We generalize the original majority-vote model by incorporating inertia into the microscopic dynamics of the spin flipping, where the spin-flip probability of any individual depends not only on the states of its neighbors, but also on its own state. Surprisingly, the order-disorder phase transition is changed from a usual continuous or second-order type to a discontinuous or first-order one when the inertia is above an appropriate level. A central feature of such an explosive transition is a strong hysteresis behavior as noise intensity goes forward and backward...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505869/instability-onset-and-scaling-laws-of-an-auto-oscillating-turbulent-flow-in-a-complex-plasma
#9
M Schwabe, S Zhdanov, C Räth
We study a complex plasma under microgravity conditions that is first stabilized with an oscillating electric field. Once the stabilization is stopped, the so-called heartbeat instability develops. We study how the kinetic energy spectrum changes during and after the onset of the instability and compare with the double cascade predicted by Kraichnan and Leith for two-dimensional turbulence. The onset of the instability manifests clearly in the ratio of the reduced rates of cascade of energy and enstrophy and in the power-law exponents of the energy spectra...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505868/limiting-similarity-of-competitive-species-and-demographic-stochasticity
#10
Xiu-Deng Zheng, Ling-Ling Deng, Wei-Ya Qiang, Ross Cressman, Yi Tao
The limiting similarity of competitive species and its relationship with the competitive exclusion principle is still one of the most important concepts in ecology. In the 1970s, May [R. M. May, Stability and Complexity in Model Ecosystems (Princeton University, Princeton, NJ, 1973)] developed a concise theoretical framework to investigate the limiting similarity of competitive species. His theoretical results show that no limiting similarity threshold of competitive species can be identified in the deterministic model system whereby species more similar than this threshold never coexist...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505867/collective-dynamics-out-of-thermodynamic-equilibrium
#11
Gordon Robb, Antonio Politi
Thorough numerical studies reveal that spatially extended dissipative systems with long-range interactions may give rise to a large-scale dynamics. This phenomenon, which generalizes mean-field chaos, can be interpreted as a form of subtle pattern formation, where a chaotic microscopic dynamics coexists with a macroscopic irregular behavior, sustained by the spontaneous emergence of long-wavelength "hydrodynamic" modes. This regime can emerge only if the coupling is sufficiently long ranged, otherwise normal space-time chaos is observed...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505866/spatial-uniformity-in-the-power-grid-system
#12
Mi Jin Lee, Beom Jun Kim
Robust synchronization is indispensable for stable operation of a power grid. Recently, it has been reported that a large number of decentralized generators, rather than a small number of large power plants, provide enhanced synchronization together with greater robustness against structural failures. In this paper, we systematically control the spatial uniformity of the geographical distribution of generators and conclude that the more uniformly generators are distributed, the more enhanced synchronization occurs...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505865/critical-behavior-of-the-two-dimensional-nonequilibrium-zero-temperature-random-field-ising-model-on-a-triangular-lattice
#13
Sanja Janićević, Svetislav Mijatović, Djordje Spasojević
We present a numerical study of the critical behavior of the nonequilibrium zero-temperature random field Ising model in two dimensions on a triangular lattice. Our findings, based on the scaling analysis and collapse of data collected in extensive simulations of systems with linear sizes up to L=65536, show that the model is in a different universality class than the same model on a quadratic lattice, which is relevant for a better understanding of model universality and the analysis of experimental data.
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505864/optimal-subgrid-scheme-for-shell-models-of-turbulence
#14
Luca Biferale, Alexei A Mailybaev, Giorgio Parisi
We discuss a theoretical framework to define an optimal subgrid closure for shell models of turbulence. The closure is based on the ansatz that consecutive shell multipliers are short-range correlated, following the third hypothesis of Kolmogorov formulated for similar quantities for the original three-dimensional Navier-Stokes turbulence. We also propose a series of systematic approximations to the optimal model by assuming different degrees of correlations across scales among amplitudes and phases of consecutive multipliers...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505863/mixing-and-the-fractal-geometry-of-piecewise-isometries
#15
Paul P Park, Thomas F Lynn, Paul B Umbanhowar, Julio M Ottino, Richard M Lueptow
Mathematical concepts often have applicability in areas that may have surprised their original developers. This is the case with piecewise isometries (PWIs), which transform an object by cutting it into pieces that are then rearranged to reconstruct the original object, and which also provide a paradigm to study mixing via cutting and shuffling in physical sciences and engineering. Every PWI is characterized by a geometric structure called the exceptional set, E, whose complement comprises nonmixing regions in the domain...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505862/thermodynamic-state-variables-in-quasiequilibrium-ultracold-neutral-plasma
#16
Sanat Kumar Tiwari, Nathaniel R Shaffer, Scott D Baalrud
The pressure and internal energy of an ultracold plasma in a state of quasiequilibrium are evaluated using classical molecular dynamics simulations. Coulomb collapse is avoided by modeling electron-ion interactions using an attractive Coulomb potential with a repulsive core. We present a method to separate the contribution of classical bound states, which form due to recombination, from the contribution of free charges when evaluating these thermodynamic state variables. It is found that the contribution from free charges is independent of the choice of repulsive core length scale when it is sufficiently short-ranged...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505861/landau-zener-tunneling-of-solitons
#17
Vazha Loladze, Ramaz Khomeriki
We consider Landau-Zener tunneling of solitons in a weakly coupled two-channel system, for this purpose we construct a simple mechanical system using two weakly coupled chains of nonlinear oscillators with gradually decreasing (first chain) and increasing (second chain) masses. The model allows us to consider soliton propagation and Landau-Zener tunneling between the chains. It is shown that soliton tunneling characteristics become drastically dependent on its amplitude in nonlinear regime. The validity of the developed tunneling theory is justified via comparison with direct numerical simulations on oscillator ladder system...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505860/nonmonotonic-dna-length-dependent-mobility-in-pluronic-gels
#18
Seungyong You, Ling Wei, Sachin Shanbhag, David H Van Winkle
Two-dimensional electrophoresis was used to analyze the mobility of DNA fragments in micellar gels of pluronic F127 (EO_{100}PO_{70}EO_{100}) and pluronic P123 (EO_{20}PO_{70}EO_{20}). The 20-3500 base pair DNA fragments were separated by size first in agarose gels, and then in pluronic gels at room temperature. In agarose gels, the DNA mobility decreases monotonically with increasing DNA length. In pluronic gels, however, the mobility varies nonmonotonically according to fragment lengths that are strongly correlated with the diameter of the spherical micelles...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505859/interpolation-between-low-and-high-temperatures-of-the-specific-heat-for-spin-systems
#19
Heinz-Jürgen Schmidt, Andreas Hauser, Andre Lohmann, Johannes Richter
The high temperature expansion (HTE) of the specific heat of a spin system fails at low temperatures, even if it is combined with a Padé approximation. On the other hand, we often have information about the low-temperature asymptotics (LTA) of the system. Interpolation methods combine both kind of information, HTE and LTA, in order to obtain an approximation of the specific heat that holds for the whole temperature range. Here we revisit the entropy method that has been previously published and propose two variants that better cope with problems of the entropy method for gapped systems...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505858/tricritical-behavior-of-nonequilibrium-ising-spins-in-fluctuating-environments
#20
Jong-Min Park, Jae Dong Noh
We investigate the phase transitions in a coupled system of Ising spins and a fluctuating network. Each spin interacts with q neighbors through links of the rewiring network. The Ising spins and the network are in thermal contact with the heat baths at temperatures T_{S} and T_{L}, respectively, so the whole system is driven out of equilibrium for T_{S}≠T_{L}. The model is a generalization of the q-neighbor Ising model [A. Jędrzejewski et al., Phys. Rev. E 92, 052105 (2015)PLEEE81539-375510.1103/PhysRevE...
April 2017: Physical Review. E
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