title: Simulation of stationary Gaussian noise with regard to the Langevin equation with memory effect.
abstract: We present an efficient method for simulating a stationary Gaussian noise with an arbitrary covariance function, and then we study numerically the impact of time-correlated noise on the time evolution of a (1+1)-dimensional generalized Langevin equation by comparing also to analytical results. Finally, we apply our method to the generalized Langevin equation with an external harmonic and double-well potential.
authors: Institut für Theoretische Physik, Goethe-Universität Frankfurt am Main, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany.
authors: Julian
authors: J
authors: Schmidt
authors: Institut für Theoretische Physik, Goethe-Universität Frankfurt am Main, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany.
authors: Alex
authors: A
authors: Meistrenko
authors: Institut für Theoretische Physik, Goethe-Universität Frankfurt am Main, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany.|Frankfurt Institute for Advanced Studies, Ruth-Moufang-Straße 1, 60438 Frankfurt, Germany.
authors: Hendrik
authors: H
authors: van Hees
authors: Department of Physics, Tsinghua University and Collaborative Innovation Center of Quantum Matter, Beijing 100084, China.
authors: Zhe
authors: Z
authors: Xu
authors: Institut für Theoretische Physik, Goethe-Universität Frankfurt am Main, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany.
authors: Carsten
authors: C
authors: Greiner