References of "Journal of Statistical Physics"
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See detailGaussian Random Measures Generated by Berry's Nodal Sets
Peccati, Giovanni UL; Vidotto, Anna

in Journal of Statistical Physics (in press)

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See detailMemory Effects in the Fermi–Pasta–Ulam Model
Amati, Graziano; Meyer, Hugues UL; Schilling, Tanja

in Journal of Statistical Physics (2019), 174(1), 219-257

We study the intermediate scattering function (ISF) of the strongly-nonlinear Fermi–Pasta–Ulam Model at thermal equilibrium, using both numerical and analytical methods. From the molecular dynamics ... [more ▼]

We study the intermediate scattering function (ISF) of the strongly-nonlinear Fermi–Pasta–Ulam Model at thermal equilibrium, using both numerical and analytical methods. From the molecular dynamics simulations we distinguish two limit regimes, as the system behaves as an ideal gas at high temperature and as a harmonic chain for low excitations. At intermediate temperatures the ISF relaxes to equilibrium in a nontrivial fashion. We then calculate analytically the Taylor coefficients of the ISF to arbitrarily high orders (the specific, simple shape of the two-body interaction allows us to derive an iterative scheme for these). The results of the recursion are in good agreement with the numerical ones. Via an estimate of the complete series expansion of the scattering function, we can reconstruct within a certain temperature range its coarse-grained dynamics. This is governed by a memory-dependent Generalized Langevin Equation (GLE), which can be derived via projection operator techniques. Moreover, by analyzing the first series coefficients of the ISF, we can extract a parameter associated to the strength of the memory effects in the dynamics. [less ▲]

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See detailEffective Fluctuation and Response Theory
Polettini, Matteo UL; Esposito, Massimiliano UL

in Journal of Statistical Physics (2019), 176(1), 94-168

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See detailExactly solvable model of quantum diffusion
Esposito, Massimiliano UL; Gaspard, P.

in Journal of Statistical Physics (2005), 121(3-4),

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