TY - JOUR
T1 - On the Asymptotic Behavior of the Kernel Function in the Generalized Langevin Equation
T2 - A One-Dimensional Lattice Model
AU - Chu, Weiqi
AU - Li, Xiantao
N1 - Publisher Copyright:
© 2017, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s10955-017-1927-3
DO - 10.1007/s10955-017-1927-3
M3 - Article
AN - SCOPUS:85035105835
SN - 0022-4715
VL - 170
SP - 378
EP - 398
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 2
ER -