2001

Effect of Microscopic Noise on Front Propagation – Archive ouverte HAL

Éric BrunetBernard Derrida 1, 2 Éric Brunet, Bernard Derrida. Effect of Microscopic Noise on Front Propagation. Journal of Statistical Physics, Springer Verlag, 2001, 103 (1-2), pp.269-282. ⟨10.1023/A:1004875804376⟩. ⟨hal-03282975⟩ We study the effect of the noise due to microscopic fluctuations on the position of a one dimensional front propagating from a stable to an unstable region …

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Zero-temperature responses of a 3D spin glass in a magnetic field

Florent Krzakala 1, Jérôme Houdayer 2, Enzo Marinari 3, Olivier C. Martin 1, Giorgio Parisi 3 Physical Review Letters 87 (2001) 197204 We probe the energy landscape of the 3D Edwards-Anderson spin glass in a magnetic field to test for a spin glass ordering. We find that the spin glass susceptibility is anomalously large on the lattice sizes we can reach. Our data suggest that a …

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X-Ray Scattering Evidence for Macroscopic Strong Pinning Centers in the Sliding CDW state of NbSe_3

D. Rideau 1, 2, Pierre Monceau 1, Roland Currat 2, Herwig Requardt 3, 4, F. Ya Nad 1, 5, J. Lorenzo 2, 4, Serguei Brazovskii 6, C. Detlefs 4, G. Gruebel 4 Europhysics Letters (EPL) 56 (2001) 289-295 Using high-resolution X-ray scattering techniques, we measure the variation, q(x), of the position in reciprocal space of the CDW satellite, in the sliding state, along the length of NbSe_3 whiskers. We show that structural defects and intentionally X-ray radiation-damaged regions …

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Unusual corrections to scaling in the 3-state Potts antiferromagnet on a square lattice

John Cardy 1, Jesper-Lykke Jacobsen 2, Alan D. Sokal 3 Journal of Statistical Physics 105 (2001) 25-47 At zero temperature, the 3-state antiferromagnetic Potts model on a square lattice maps exactly onto a point of the 6-vertex model whose long-distance behavior is equivalent to that of a free scalar boson. We point out that at nonzero temperature there are two distinct types …

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Topological relaxation of entangled flux lattices: Single vs collective line dynamics

Ruslan Bikbov 1, Sergei K. Nechaev 1, 2 Physical Review Letters 87 (2001) 150602 A symbolic language allowing to solve statistical problems for the systems with nonabelian braid-like topology in 2+1 dimensions is developed. The approach is based on the similarity between growing braid and ‘heap of colored pieces’. As an application, the problem of a vortex glass transition in high-T_c …

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Topological Confinement of Spins and Charges: Spinons as pi-junctions

Serguei Brazovskii 1 EDP Sciences 1 (2001) 315 Topologically nontrivial states, the solitons, emerge as elementary excitations in 1D electronic systems. In a quasi 1D material the topological requirements originate the spin- or charge- roton like excitations with charge- or spin- kinks localized in the core. They result from the spin-charge recombination due to confinement and the …

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Thermodynamics and Topology of Disordered Systems: Statistics of the Random Knot Diagrams on Finite Lattice

Sergei K. Nechaev 1, 2, Oleg A. Vasilyev 2 JETP Letters 93 (2001) 1119-1136 The statistical properties of random lattice knots, the topology of which is determined by the algebraic topological Jones-Kauffman invariants was studied by analytical and numerical methods. The Kauffman polynomial invariant of a random knot diagram was represented by a partition function of the Potts model with a random …

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The Riemannium

Patricio Leboeuf 1, Alejandro Monastra 1, Oriol Bohigas 1 Regular and Chaotic Dynamics 6 (2001) 205-210 The properties of a fictitious, fermionic, many-body system based on the complex zeros of the Riemann zeta function are studied. The imaginary part of the zeros are interpreted as mean-field single-particle energies, and one fills them up to a Fermi energy $E_F$. The distribution of …

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The ferroelectric Mott-Hubbard phase of organic (TMTTF)2X conductors

Pierre Monceau 1, F. Ya Nad 1, 2, Serguei Brazovskii 3, 4 Physical Review Letters 86 (2001) 4080-4083 We present experimental evidences for a ferro-electric transition in the family of quasi one- dimensional conductors (TMTTF)2X. We interpret this new transition in the frame of the combined Mott-Hubbard state taking into account the double action of the spontaneous charge disproportionation on the TMTTF molecular stacks …

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