On the Asymptotic Behavior of the Kernel Function in the Generalized Langevin Equation: A One-dimensional lattice model
arXiv:1708.04995 · doi:10.1007/s10955-017-1927-3
Abstract
We present some estimates for the memory kernel function in the generalized Langevin equation, derived using the Mori-Zwanzig formalism from a one-dimensional lattice model, in which the particles interactions are through nearest and second nearest neighbors. The kernel function can be explicitly expressed in a matrix form. The analysis focuses on the decay properties, both spatially and temporally, revealing a power-law behavior in both cases. The dependence on the level of coarse-graining is also studied.
References in corpus (8)
- Thermal conduction in classical low-dimensional lattices
- Nonlinear fluctuating hydrodynamics for anharmonic chains
- On the anomalous thermal conductivity of one-dimensional lattices
- Data-driven parameterization of the generalized Langevin equation
- Dynamic of a non homogeneously coarse grained system
- Numerical Integration of the Extended Variable Generalized Langevin Equation with a Positive Prony Representable Memory Kernel
- Current fluctuations for anharmonic chains in thermal equilibrium
- Computation of the Memory Functions in the Generalized Langevin Models for Collective Dynamics of Macromolecules