Nonlinear sciences

Gravity-Capillary Lumps Generated by a Moving Pressure Source

James Diorio, Yeunwoo Cho, James H. Duncan, and T. R. Akylas
The nonlinear wave pattern generated by a localized pressure source moving over a liquid free surface at speeds below the minimum phase speed (c) of linear gravity-capillary waves is investigated experimentally and theoretically. At these speeds, freely propagating fully localized solitary waves, or ... [Phys. Rev. Lett. 103, 214502 (2009)] published Fri Nov 20, 2009.

Field-Induced Kosterlitz-Thouless Transition in the N=0 Landau Level of Graphene

Kentaro Nomura, Shinsei Ryu, and Dung-Hai Lee
At the charge neutral point, graphene exhibits a very unusual high-resistance metallic state and a transition to a complete insulating phase in a strong magnetic field. We propose that the current carriers in this state are the charged vortices of the XY valley-pseudospin order parameter, a situatio ... [Phys. Rev. Lett. 103, 216801 (2009)] published Fri Nov 20, 2009.

Effect of kinetic growth parameters on leakage current and ferroelectric behavior of BiFeO thin films

Vilas Shelke, V. N. Harshan, Sushma Kotru, and Arunava Gupta
Epitaxial BiFeO thin films have been grown on (100)-oriented SrTiO and Nb-doped SrTiO substrates using the pulsed laser deposition technique under identical thermodynamic and variable kinetic conditions. The variation of growth kinetics through laser fluence and pulse repetition rate had minimal eff ... [J. Appl. Phys. 106, 104114 (2009)] published Thu Nov 19, 2009.

Arrest of Langmuir wave collapse by quantum effects

G. Simpson, C. Sulem, and P. L. Sulem
The arrest of Langmuir wave collapse by quantum effects, first addressed by Haas and Shukla [Phys. Rev. E 79, 066402 (2009)] using a Rayleigh-Ritz trial function method is revisited, using rigorous estimates and systematic asymptotic expansions. The absence of blow up for the so-called quantum Zakha ... [Phys. Rev. E 80, 056405 (2009)] published Thu Nov 19, 2009.

Spontaneous traveling waves in oscillatory systems with cross diffusion

V. N. Biktashev and M. A. Tsyganov
We identify a type of pattern formation in spatially distributed active systems. We simulate one-dimensional two-component systems with predator-prey local interaction and pursuit-evasion taxis between the components. In a sufficiently large domain, spatially uniform oscillations in such systems are ... [Phys. Rev. E 80, 056111 (2009)] published Thu Nov 19, 2009.

Dressed soliton in quantum dusty pair-ion plasma

Prasanta Chatterjee, Kaushik Roy, S. V. Muniandy, and C. S. Wong
Nonlinear propagation of a quantum ion-acoustic dressed soliton is studied in a dusty pair-ion plasma. The Kortewegde Vries (KdV) equation is derived using reductive perturbation technique. A higher order inhomogeneous differential equation is obtained for the higher order correction. The expression ... [Phys. Plasmas 16, 112106 (2009)] published Thu Nov 19, 2009.

Measurements of the Critical Power for Self-Injection of Electrons in a Laser Wakefield Accelerator

D. H. Froula, C. E. Clayton, T. Doppner, K. A. Marsh, C. P. J. Barty et al.
A laser wakefield acceleration study has been performed in the matched, self-guided, blowout regime producing 72050 MeV quasimonoenergetic electrons with a divergence Deltatheta of 2.850.15 mrad using a 10 J, 60 fs 0.8 [mu]m laser. While maintaining a nearly constant plasma density (3 x 10 cm), ... [Phys. Rev. Lett. 103, 215006 (2009)] published Thu Nov 19, 2009.

Dynamical Origin of the Effective Storage Capacity in the Brain's Working Memory

Christian Bick and Mikhail I. Rabinovich
The capacity of working memory (WM), a short-term buffer for information in the brain, is limited. We suggest a model for sequential WM that is based upon winnerless competition amongst representations of available informational items. Analytical results for the underlying mathematical model relate ... [Phys. Rev. Lett. 103, 218101 (2009)] published Thu Nov 19, 2009.

Controlling and enhancing terahertz collective electron dynamics in superlattices by chaos-assisted miniband transport

M. T. Greenaway, A. G. Balanov, E. Scholl, and T. M. Fromhold
We show that a tilted magnetic field transforms the structure and THz dynamics of charge domains in a biased semiconductor superlattice. At critical field values, strong coupling between the Bloch and cyclotron motion of a miniband electron triggers chaotic delocalization of the electron orbits, cau ... [Phys. Rev. B 80, 205318 (2009)] published Wed Nov 18, 2009.

Heteroclinic Orbit, Forced Lorenz System, and Chaos

Dibakar Ghosh, Anirban Ray, and A. Roy Chowdhury
Forced Lorenz system, important in modeling of monsoonlike phenomena, is analyzed for the existence of heteroclinic orbit. This is done in the light of the suggested new mechanism for the onset of chaos by Magnitskii and Sidorov (2006, Finding Homoclinic and Heteroclinic Contours of Singular Points ... [J. Comput. Nonlinear Dynam. 5, 011008 (2009)] published Wed Nov 18, 2009.

Aggregates-induced dynamic negative differential resistance in conducting organic films

Xian Ning Xie, Junzhong Wang, Kian Ping Loh, and Andrew Thye Shen Wee
This letter reports the negative differential resistance (NDR) behavior of perylene-3,4,9,10-tetracarboxylic-3,4,9,10-dianhydride films induced by aggregate formation in the film. It is observed that aggregate-states in the energy gap can by-pass the common charge conduction mode, and electron injec ... [Appl. Phys. Lett. 95, 203302 (2009)] published Wed Nov 18, 2009.

Optical probes of orientation-patterned ZnSe quasi-phase-matched devices

Gary S. Kanner, Michael L. Marable, Narsingh B. Singh, Andre Berghmans, David Kahler et al.
Orientation-patterned zinc selenide (OPZnSe) is a unique quasi-phase-matched nonlinear optical material for enabling frequency conversion from visible to long-wave infrared wavelengths. We have fabricated and tested OPZnSe devices over a wide spectral range. Single-crystal OPZnSe films of greater th ... [Opt. Eng. 48, 114201 (2009)] published Wed Nov 18, 2009.

Characteristics of Light Reflected from a Dense Ionization Wave with a Tunable Velocity

A. Zhidkov, T. Esirkepov, T. Fujii, K. Nemoto, J. Koga et al.
An optically dense ionization wave (IW) produced by two femtosecond (~10/30 fs) laser pulses focused cylindrically and crossing each other may become an efficient coherent x-ray converter in accordance with the Semenova-Lampe theory. The resulting velocity of a quasiplane IW in the vicinity of puls ... [Phys. Rev. Lett. 103, 215003 (2009)] published Wed Nov 18, 2009.

Subpicosecond coherent nonlinear optical response of isolated single-walled carbon nanotubes

S. Tao, Y. Miyata, K. Yanagi, H. Kataura, and H. Okamoto
We report an excitation-energy dependence of ultrafast changes of exciton absorptions in isolated semiconducting single-walled carbon nanotubes. For a photoexcitation far below the exciton transition, a blueshift of exciton absorptions originating from the optical Stark effect due to exciton-photon ... [Phys. Rev. B 80, 201405 (2009)] published Tue Nov 17, 2009.

Stationary shocks in periodic highly nonlinear granular chains

Alain Molinari and Chiara Daraio
We study the existence of stationary shock waves in uniform and periodic heterogeneous highly nonlinear granular chains governed by a power-law contact interaction, comparing discrete and continuum approaches, as well as experiments. We report the presence of quasisteady shock fronts without the nee ... [Phys. Rev. E 80, 056602 (2009)] published Tue Nov 17, 2009.

Calculation of coupled secular oscillation frequencies and axial secular frequency in a nonlinear ion trap by a homotopy method

Alireza Doroudi
In this paper the homotopy perturbation method is used for calculation of the frequencies of the coupled secular oscillations and axial secular frequencies of a nonlinear ion trap. The motion of the ion in a rapidly oscillating field is transformed to the motion in an effective potential. The equati ... [Phys. Rev. E 80, 056603 (2009)] published Tue Nov 17, 2009.

Phenomenological classification of stress-induced leakage current and time-dependent dielectric breakdown mechanism

Hiroshi Miyazaki, Daisuke Kodama, and Naohito Suzumura
The time-dependent dielectric breakdown (TDDB) of Cu damascene interconnects was investigated, noting the time variations in stress-induced leakage current. Copper interconnects normally have symmetric current-voltage curves, which suggests that defects are distributed symmetrically between two Cu l ... [J. Appl. Phys. 106, 104103 (2009)] published Tue Nov 17, 2009.

Dependence of intermittency scaling on threshold in chaotic systems

Yuzhu Xiao, Yan Wang, and Ying-Cheng Lai
Numerical and experimental investigations of intermittency in chaotic systems often lead to claims of universal classes based on the scaling of the average length of the laminar phase with parameter variation. We demonstrate that the scaling in general depends on the choice of the threshold used to ... [Phys. Rev. E 80, 057202 (2009)] published Mon Nov 16, 2009.

Cavity equations for a positive- or negative-refraction-index material with electric and magnetic nonlinearities

Daniel A. Martin and Miguel Hoyuelos
We study evolution equations for electric and magnetic field amplitudes in a ring cavity with plane mirrors. The cavity is filled with a positive or negative-refraction-index material with third-order effective electric and magnetic nonlinearities. Two coupled nonlinear equations for the electric an ... [Phys. Rev. E 80, 056601 (2009)] published Mon Nov 16, 2009.

Attraction and repulsion of parallel femtosecond filaments in air

Hua Cai, Jian Wu, Peifen Lu, Xueshi Bai, Liang'en Ding et al.
We present an approach to explore and control nonlinear interactions between two orthogonally polarized femtosecond filaments launched parallel in air. The self-phase and cross-phase modulations due to the Kerr effect and cross-(de)focusing induced by the plasma and molecular alignment were distinct ... [Phys. Rev. A 80, 051802 (2009)] published Mon Nov 16, 2009.

Anomalies, unparticles, and Seiberg duality

Jamison Galloway, John McRaven, and John Terning
We calculate triangle anomalies for fermions with noncanonical scaling dimensions. The most well-known example of such fermions (aka unfermions) occurs in Seiberg duality where the matching of anomalies (including mesinos with scaling dimensions between 3/2 and 5/2) is a crucial test of duality. By ... [Phys. Rev. D 80, 105017 (2009)] published Mon Nov 16, 2009.

Quantum noncanonical field theory: Symmetries and interaction

J. M. Carmona, J. L. Cortes, J. Indurain, and D. Mazon
The symmetry properties of a proposal to go beyond relativistic quantum field theory based on a modification of the commutation relations of fields are identified. Poincare invariance in an auxiliary spacetime is found in the Lagrangian version of the path integral formulation. This invariance is co ... [Phys. Rev. D 80, 105014 (2009)] published Mon Nov 16, 2009.

Experimental realization of directed percolation criticality in turbulent liquid crystals

Kazumasa A. Takeuchi, Masafumi Kuroda, Hugues Chate, and Masaki Sano
This is a comprehensive report on the phase transition between two turbulent states of electroconvection in nematic liquid crystals, which was recently found by the authors to be in the directed percolation (DP) universality class [K. A. Takeuchi et al., Phys. Rev. Lett. 99, 234503 (2007)]. We furth ... [Phys. Rev. E 80, 051116 (2009)] published Mon Nov 16, 2009.

Effect of the resonant growth of harmonics on the electron density in capacitively coupled plasma

Yohei Yamazawa
The growth of harmonics is known to occur under the condition of plasma series resonance (PSR). In an actual plasma process chamber, the external circuit also affects the PSR. We experimentally demonstrated the resonant growth of the third and fourth harmonics by tuning a variable capacitor attached ... [Appl. Phys. Lett. 95, 191504 (2009)] published Fri Nov 13, 2009.

Generation of polarization-entangled photons using type-II doubly periodically poled lithium niobate waveguides

K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin et al.
In this paper, we address the issue of the generation of nondegenerate cross-polarization-entangled photon pairs using type-II periodically poled lithium niobate. We show that, by an appropriate engineering of the quasi-phase-matching grating, it is possible to simultaneously satisfy the conditions ... [Phys. Rev. A 80, 052321 (2009)] published Fri Nov 13, 2009.

Bifurcations of normally parabolic tori in Hamiltonian systems
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Flux problem for a certain class of two-dimensional domains
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On the construction of the Kolmogorov normal form for the Trojan asteroids
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Dense chaos for continuous interval maps
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Reduced dynamics of Ward solitons
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A variational principle based study of KPP minimal front speeds in random shears
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A complement to the connecting lemma of Hayashi
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Asymptotic behaviour of quasi-stationary solutions of a nonlinear problem modelling the growth of tumours
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Dynamics of monotone travelling fronts for discretizations of Nagumo PDEs
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Supersymmetric modified Korteweg–de Vries equation: bilinear approach
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On the exact discretization of the classical harmonic oscillator equation. (arXiv:0911.3672v1 [math-ph])

ePrint arXiv http://arXiv.org/

Google matrix and Ulam networks of intermittency maps. (arXiv:0911.3823v1 [cs.IR])

ePrint arXiv http://arXiv.org/

Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method. (arXiv:0907.0582v3 [cond-mat.stat-mech] UPDATED)

ePrint arXiv http://arXiv.org/

Replica Approach in Random Matrix Theory. (arXiv:0909.3198v2 [cond-mat.dis-nn] UPDATED)

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