Anomalous transport in non-integrable classical field theories - Dataset

This repository contains the dataset for the paper "Anomalous transport non-integrable classical field theories". The included data consists of: raw computed dynamical two-point functions of magnetization and energy (H_n_mm and H_n_hh include magnetization and energy correlators for the models H_n, while quartic_mm and quartic_hh include the magnetization and energy correlators for the quartic model). The files are named using the following convention: "dynamical_(correlator)_(N)_(beta)_(model).jld2", where (correlator) is either mm or hh, (N) denotes the system size, (beta) the inverse temperature of the Gibbs ensemble, and (model) either "LL", "2", "3", "4" (choice of parameter n) or "quartic". The files can be opened using the package JLD2 in Julia, e.g. @load "dynamical_mm_1024_1.0_LL.jld2" mm_xt mm_t t d nr_samples Each correlator includes the correlator at the origin (x=0) in mm_t saved at times which are saved in the vector t. To save on space the full two-point correlator mm_xt is only saved every d timepoints t_mm_xt = t[begin:d:end] Finally, nr_samples includes the number of Metropolis samples used in the calculation. We note that for hh correlators the files include an additional vector h_t (average energy density at each time in t). The correlators hh_xt and hh_t are dis-connected, so h_t^2 must be subtracted to obtain the connected correlators. computation of finite-time Lyapunov exponents for smooth and thermal initial conditions. For smooth initial conditions the files are named as "lyapunov_smooth_(N)_(L)_(model).jld2", where (N) is number of discretization points, (L) is system size and model is either "LL" or "2". For thermal initial conditions the files are named "lyapunov_thermal_(N)_(beta)_(model).jld2" using the same conventions as above. The files can be opened using the package JLD2 in Julia, e.g. @load "lyapunov_thermal_128_0.0_LL.jld2" δ_t δ_t_std λ_t λ_t_std t and they include the average growth of the norm and its standard deviation, as well as an average finite-time Lyapunov exponent and its standard deviation. The results are given for times t which are also saved in the files.