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Hammar, Henning

Making spintronic devices is a hot topic for future technical development. In this work the non-equilibrium dynamics of a single spin in a tunnel junction is analyzed and numerically simulated. This is done in order to understand the dynamics of e.g. a magnetic molecule between two metal contacts for future spintronic devices. The work starts with ...

pra, paolo dai pavon, michele sahasrabudhe, neeraja

Deriving the form of the optimal solution of a maximum entropy problem, we obtain an infinite family of linear inequalities characterizing the polytope of spin correlation matrices. For n ≤ 6, the facet description of such a polytope is provided through a minimal system of Bell-type inequalities.

Pra, Paolo Dai Pavon, Michele Sahasrabudhe, Neeraja

Deriving the form of the optimal solution of a maximum entropy problem, we obtain an infinite family of linear inequalities characterizing the polytope of spin correlation matrices. For n ≤ 6, the facet description of such a polytope is provided through a minimal system of Bell-type inequalities.

Gay-Balmaz, Francois Holm, Darryl D. Ratiu, Tudor S.

We obtain the affine Euler-Poincare equations by standard Lagrangian reduction and deduce the associated Clebsch-constrained variational principle. These results are illustrated in deriving the equations of motion for continuum spin systems and Kirchhoff's rod, where they provide a unified geometric interpretation.

Sire, Clément

We study the autocorrelation function of a conserved spin system following a quench at the critical temperature. Defining the correlation length $L(t)\\sim t^{1/z}$, we find that for times $t\'$ and $t$ satisfying $L(t\')\\ll L(t)\\ll L(t\')^\\phi$ well inside the scaling regime, the autocorrelation function behaves like $\\sim L(t\')^{-(d-2+\\eta)...

Cueille, Stéphane Sire, Clément

We explore a new definition of the persistence exponent, measuring the probability that a spin never flips after a quench of an Ising-like model at a temperature 0

Yurke, B. Pargellis, A. N. Majumdar, S. N. Sire, Clément

Using a twisted nematic liquid crystal system exhibiting planar Ising model dynamics, we have measured the scaling exponent $\\theta$ which characterizes the time evolution, $p(t) \\sim t^{-\\theta}$, of the probability p(t) that the local order parameter has not switched its state by the time t. For 0.4 seconds to 200 seconds following the phase q...

Majumdar, Satya N. Sire, Clément

We study the decay of the probability for a non-Markovian stationary Gaussian walker not to cross the origin up to time $t$. This result is then used to evaluate the fraction of spins that do not flip up to time $t$ in the zero temperature Monte-Carlo spin flip dynamics of the Ising model. Our results are compared to extensive numerical simulations...