Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of small amplitude bimodal atomic force microscopy in ambient
  conditions   Small oscillation amplitudes in dynamic atomic force microscopy can lead to
invasive and high resolution imaging. Here we discuss small oscillation
amplitude imaging in the context of ambient conditions and simultaneously
excite the second flexural mode to access contrast channels sensitive to
variations in sample's properties. Two physically distinct regimes of operation
are discussed, one where the tip oscillates above the hydration layer and
another where the tip oscillates in perpetual contact with it. It is shown that
the user can control the region to be probed via standard operational
parameters. The fundamental theory controlling the sensitivity of the second
mode phase shift to compositional variations is then developed. The second mode
phase shift is controlled by an interplay between conservative tip-sample
interactions, energy transfer between modes and irreversible loss of energy in
the tip sample junction.

9
The categories of this paper are: nlin
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci