Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rate and state friction law as derived from atomistic processes at
  asperities   A theoretical account is given of the microscopic basis of the rate- and
state-dependent friction (RSF) law. The RSF law describes rock friction
quantitatively and therefore it is commonly used to model earthquakes and the
related phenomena. But the RSF law is rather empirical and the theoretical
basis has not been very clear. Here we derive the RSF law starting from
constitutive laws for asperities, and give the atomistic expressions for the
empirical RSF parameters. In particular, we show that both the length constant
and the state variable are given as the 0th weighted power means of the
corresponding microscopic quantities: a linear dimension and the contact
duration of each asperity. As a result, evolution laws for the state variable
can be derived systematically. We demonstrate that the aging and the slip laws
can be derived and clarify the approximations behind these two major evolution
laws. Additionally, the scaling properties of the length constant are clarified
for fractal distribution of asperities.

35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga