Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of relaxation dynamics for anomalous diffusion processes in
  harmonic potential   Optical tweezers setup is often used to probe the motion of individual tracer
particle, which promotes the study of relaxation dynamics of a generic process
confined in a harmonic potential. We uncover the dependence of ensemble- and
time-averaged mean square displacements of confined processes on the velocity
correlation function $C(t,t+\tau)$ of the original process. With two different
scaling forms of $C(t,t+\tau)$ for small $\tau$ and large $\tau$, the
stationary value and the relaxation behaviors can be obtained immediately. The
gotten results are valid for a large amount of anomalous diffusion processes,
including fractional Brownian motion, scaled Brownian motion, and the
multi-scale L\'{e}vy walk with different exponents of running time
distribution.

18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga