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19922026
most citedThe World of the Complex Ginzburg-Landau Equation

2k citations

Showing 2006Show all

43 papers · 1 filter

nlin.PS2006★ 30 cited

Interactions of Parametrically Driven Dark Solitons. I: Néel-Néel and Bloch-Bloch interactions

I. V. Barashenkov, S. R. Woodford, E. V. Zemlyanaya

We study interactions between the dark solitons of the parametrically driven nonlinear Schrödinger equation, Eq.(\ref{NLS}). When the driving strength, , is below $\sqrt{γ^2 +1/…

math.AG2006★ 4 cited

Almost del Pezzo manifolds

Priska Jahnke, Thomas Peternell

We classify almost del Pezzo manifolds in arbitrary dimension n, i.e., projective manifolds X with big and nef anticanonical bundle -K_X, such that -K_X is divisible by n-1.

gr-qc2006★ 21 cited

Global existence for the spherically symmetric Einstein-Vlasov system with outgoing matter

Hakan Andreasson, Markus Kunze, Gerhard Rein

We prove a new global existence result for the asymptotically flat, spherically symmetric Einstein-Vlasov system which describes in the framework of general relativity an ensemble…

math.NT2006★ 17 cited

Explicit n-descent on elliptic curves, II. Geometry

John Cremona, Tom Fisher, Cathy O'Neil +2

This is the second in a series of papers in which we study the n-Selmer group of an elliptic curve. In this paper, we show how to realize elements of the n-Selmer group explicitly…

math.AG2006★ 2 cited

Double Kodaira fibrations

Fabrizio Catanese, Soenke Rollenske

The existence of a Kodaira fibration, i.e., of a fibration of a compact complex surface onto a complex curve which is a differentiable but not a holomorphic bundle, forces…

gr-qc2006★ 51 cited

On the steady states of the spherically symmetric Einstein-Vlasov system

Hakan Andreasson, Gerhard Rein

Using both numerical and analytical tools we study various features of static, spherically symmetric solutions of the Einstein-Vlasov system. In particular, we investigate the poss…

cond-mat.str-el2006★ 14 cited

Coherent amplitudon generation in K_0.3MoO_3 through ultrafast inter-band quasi particle decay

D. M. Sagar, A. A. Tsvetkov, D. Fausti +2

The charge density wave system K_0.3MoO_3 has been studied using variable energy pump-probe spectroscopy, ellipsometry, and inelastic light scattering. The observed transient refle…

math.AG2006★ 20 cited

The classification of surfaces with p_g = q = 0 isogenous to a product of curves

Ingrid Bauer, Fabrizio Catanese, Fritz Grunewald

We classify all the surfaces with p_g = q = 0 which admit an unramified covering which is isomorphic to a product of curves. Beyond the trivial case \PP^1 x \PP^1 we find 17 famili…

cond-mat.str-el2006★ 18 cited

One-dimensional versus two-dimensional correlation effects in the oxyhalides TiOCl and TiOBr

M. Hoinkis, M. Sing, S. Glawion +6

We have performed a comparative study of the electronic structures of the spin-Peierls systems TiOCl and TiOBr by means of photoemission spectroscopy and density functional calcula…

q-bio.QM2006★ 29 cited

A versatile maskless microscope projection photolithography system and its application in light-directed fabrication of DNA microarrays

Thomas Naiser, Timo Mai, Wolfgang Michel +1

We present a maskless microscope projection lithography system (MPLS), in which photomasks have been replaced by a Digital Micromirror Device type spatial light modulator (DMD, Tex…

cond-mat.mes-hall2006★ 10 cited

Optimization of soliton ratchets in inhomogeneous sine-Gordon systems

F. G. Mertens, L. Morales-Molina, A. R. Bishop +2

Unidirectional motion of solitons can take place, although the applied force has zero average in time, when the spatial symmetry is broken by introducing a potential , which…

cond-mat.str-el2006★ 10 cited

The effects of the symmetric and antisymmetric anisotropies on the dynamics of the spin-1/2 XY chain

O. Derzhko, T. Verkholyak, T. Krokhmalskii +1

The dynamic properties of the spin-1/2 anisotropic XY chain with the Dzyaloshinskii-Moriya (DM) interaction in a transverse field are investigated. Using the Jordan-Wigner transfor…

math.AG2006★ 22 cited

Fundamental Groups of Spaces of Smooth Projective Hypersurfaces

Michael Lönne

We investigate the complement of the discriminant in the projective space PSym^d C^{n+1} of polynomials defining hypersurfaces of degree d in P^n. Following the ideas of Zariski we…

nlin.PS2006★ 4 cited

Long-range effects on superdiffusive solitons in anharmonic chains

C. Brunhuber, F. G. Mertens, Y. Gaididei

Studies on thermal diffusion of lattice solitons in Fermi-Pasta-Ulam (FPU)-like lattices were recently generalized to the case of dispersive long-range interactions (LRI) of the Ka…

nlin.PS2006★ 3 cited

Thermal diffusion of solitons on anharmonic chains with long-range coupling

C. Brunhuber, F. G. Mertens, Y. Gaididei

We extend our studies of thermal diffusion of non-topological solitons to anharmonic FPU-type chains with additional long-range couplings. The observed superdiffusive behavior in t…

math.AG2006

Canonical symplectic structures and deformations of algebraic surfaces

Fabrizio Catanese

We show that a minimal surface of general type has a canonical symplectic structure (unique up to symplectomorphism) which is invariant for smooth deformation. We show that the sym…

math.AG2006★ 1 cited

A volume maximizing canonical surface in 3-space

Ingrid Bauer, Fabrizio Catanese

Answering a question posed by Enriques, we construct a minimal smooth algebraic surface of general type over the complex numbers with and , and with biratio…

nlin.PS2006★ 24 cited

Via Hexagons to Squares in Ferrofluids: Experiments on Hysteretic Surface Transformations under Variation of the Normal Magnetic Field

Christian Gollwitzer, Ingo Rehberg, Reinhard Richter

We report on different surface patterns on magnetic liquids following the Rosensweig instability. We compare the bifurcation from the flat surface to a hexagonal array of spikes wi…

cond-mat.other2006★ 91 cited

Vortex polarity switching by a spin--polarized current

Jean-Guy Caputo, Yuri Gaididei, Franz G. Mertens +1

The spin-transfer effect is investigated for the vortex state of a magnetic nanodot. A spin current is shown to act similarly to an effective magnetic field perpendicular to the na…

physics.flu-dyn2006★ 12 cited

Particles held by springs in a linear shear flow exhibit oscillatory motion

Lukas Holzer, Walter Zimmermann

The dynamics of small spheres, which are held by linear springs in a low Reynolds number shear flow at neighboring locations is investigated. The flow elongates the beads and the i…

nlin.PS2006★ 28 cited

Bifurcations of discrete breathers in a diatomic Fermi-Pasta-Ulam chain

Guillaume James, Michael Kastner

Discrete breathers are time-periodic, spatially localized solutions of the equations of motion for a system of classical degrees of freedom interacting on a lattice. Such solutions…

math.AG2006

Chebycheff and Belyi polynomials, dessins d'enfants, Beauville surfaces and group theory

Ingrid Bauer, Fabrizio Catanese, Fritz Grunewald

We start discussing the group of automorphisms of the field of complex numbers, and describe, in the special case of polynomials with only two critical values, Grothendieck's progr…

math.CO2006★ 1 cited

Enumeration of generalized polyominoes

Matthias Koch, Sascha Kurz

As a generalization of polyominoes we consider edge-to-edge connected nonoverlapping unions of regular -gons. For we determine formulas for the number of gener…

cond-mat.stat-mech2006★ 26 cited

Nonanalyticities of entropy functions of finite and infinite systems

Lapo Casetti, Michael Kastner

In contrast to the canonical ensemble where thermodynamic functions are smooth for all finite system sizes, the microcanonical entropy can show nonanalytic points also for finite s…