1998

Phases of random antiferromagnetic spin-1 chains

C. Monthus 1, O. Golinelli 2, Th. Jolicoeur 2 Physical Review B 58 (1998) 805-815 We formulate a real-space renormalization scheme that allows the study of the effects of bond randomness in the Heisenberg antiferromagnetic spin-1 chain. There are four types of bonds that appear during the renormalization flow. We implement numerically the decimation procedure. We give a detailed study of

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Persistent Currents and Magnetization in two-dimensional Magnetic Quantum Systems

Jean Desbois 1, Stephane Ouvry 1, Christophe Texier 1 Nuclear Physics B 528 (1998) 727-745 Persistent currents and magnetization are considered for a two-dimensional electron (or gas of electrons) coupled to various magnetic fields. Thermodynamic formulae for the magnetization and the persistent current are established and the « classical\’\’ relationship between current and magnetization is shown to hold for systems invariant both

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Normal and Anomalous Diffusion in a Deterministic Area-preserving Map

P. Leboeuf 1 Physica D: Nonlinear Phenomena 116 (1998) 8-20 Chaotic deterministic dynamics of a particle can give rise to diffusive Brownian motion. In this paper, we compute analytically the diffusion coefficient for a particular two-dimensional stochastic layer induced by the kicked Harper map. The variations of the transport coefficient as a parameter is varied are analyzed

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Kinetics of Anchoring of Polymer Chains on Substrates with Chemically Active Sites

G. Oshanin 1, S. Nechaev 2, A. M. Cazabat 3, M. Moreau 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 58 (1998) 6134-6144 We consider dynamics of an isolated polymer chain with a chemically active end-bead on a 2D solid substrate containing immobile, randomly placed chemically active sites (traps). For a particular situation when the end-bead can be irreversibly trapped by

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Exponential functionals of Brownian motion and disordered systems

Alain Comtet 1, Cecile Monthus 1, Marc Yor 2 Journal of Applied Probability 35 (1998) 255-271 The paper deals with exponential functionals of the linear Brownian motion which arise in different contexts such as continuous time finance models and one-dimensional disordered models. We study some properties of these exponential functionals in relation with the problem of a particle coupled to a

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Exact Results on Sinai’s Diffusion

Alain Comtet 1, David S. Dean 1 Journal of Physics A 31 (1998) 8595 We study the continuum version of Sinai\’s problem of a random walker in a random force field in one dimension. A method of stochastic representations is used to represent various probability distributions in this problem (mean probability density function and first passage time distributions). This

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Droplet Phenomenology and Mean Field in a Frustrated and Disordered System

J. Houdayer 1, O. C. Martin 1 Physical Review Letters 81 (1998) 2554-2557 The low lying excited states of the three-dimensional minimum matching problem are studied numerically. The excitations\’ energies grow with their size and confirm the droplet picture. However, some low energy, infinite size excitations create multiple valleys in the energy landscape. These states violate the droplet scaling

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