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...

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...

Sire, Clément Chavanis, Pierre-Henri

In this paper, we introduce a numerical renormalization group procedure which permits long-time simulations of vortex dynamics and coalescence in a 2D turbulent decaying fluid. The number of vortices decreases as $N\\sim t^{-\\xi}$, with $\\xi\\approx 1$ instead of the value $\\xi=4/3$ predicted by a na\\\"{\\i}ve kinetic theory. For short time, we...

Laval, Jean-Philippe Chavanis, Pierre-Henri Dubrulle, Bérengère Sire, Clément

We use high resolution numerical simulations over several hundred of turnover times to study the influence of small scale dissipation onto vortex statistics in 2D decaying turbulence. A self-similar scaling regime is detected when the scaling laws are expressed in units of mean vorticity and integral scale, as predicted by Carnevale et al., and it ...

Laval, Jean-Philippe Chavanis, Pierre-Henri Dubrulle, Bérengère Sire, Clément

We use high resolution numerical simulations over several hundred of turnover times to study the influence of small scale dissipation onto vortex statistics in 2D decaying turbulence. A self-similar scaling regime is detected when the scaling laws are expressed in units of mean vorticity and integral scale, as predicted by Carnevale et al., and it ...

Laval, Jean-Philippe Chavanis, Pierre-Henri Dubrulle, Bérengère Sire, Clément

We use high resolution numerical simulations over several hundred of turnover times to study the influence of small scale dissipation onto vortex statistics in 2D decaying turbulence. A self-similar scaling regime is detected when the scaling laws are expressed in units of mean vorticity and integral scale, as predicted by Carnevale et al., and it ...

Laval, Jean-Philippe Chavanis, Pierre-Henri Dubrulle, Bérengère Sire, Clément

We use high resolution numerical simulations over several hundred of turnover times to study the influence of small scale dissipation onto vortex statistics in 2D decaying turbulence. A self-similar scaling regime is detected when the scaling laws are expressed in units of mean vorticity and integral scale, as predicted by Carnevale et al., and it ...

Laval, Jean-Philippe Chavanis, Pierre-Henri Dubrulle, Bérengère Sire, Clément

We use high resolution numerical simulations over several hundred of turnover times to study the influence of small scale dissipation onto vortex statistics in 2D decaying turbulence. A self-similar scaling regime is detected when the scaling laws are expressed in units of mean vorticity and integral scale, as predicted by Carnevale et al., and it ...

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)...