Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hidden spatiotemporal sequence in transition to shear band in amorphous
  solids   Shear banding is a fundamental non-equilibrium phenomenon in amorphous
solids. Due to the intrinsic entangling of three local atomic motions: shear,
dilatation and rotation, the precise physical process of shear band emergence
is still an enigma. To unveil this mystery, we formulate for the first time a
theoretical protocol covering both affine and non-affine components of
deformation, to decode these highly entangled local atomic-scale events. In
contrast to the broad concept of shear transformation zone, plastic behavior
can be demonstrated comprehensively as the operative manipulation of more exact
shear-dominated zones (SDZs), dilatation-dominated zones (DDZs) and
rotation-dominated zones (RDZs). Their spatiotemporal evolution exhibits a
novel transition from synchronous motion to separate distribution at the onset
of shear band, which is in striking resemblance with the transition from
laminar flow to turbulent flow in flow dynamics. The hidden mechanism is
revealed with the help of extreme value theory (EVT) and percolation analysis.
Analysis of EVT indicates dilatation is the dominant mode at the embryo of
initial plastic units. The percolation analysis points towards the critical
power-law scaling nature at the transition from stochastic activation to
percolation of plastic regions. Then the comprehensive pictures of shear
banding emergence are uncovered. Firstly, dilatation triggers initial shear and
rotation in soft regions, leading to embryo of flow units, which is followed by
the inhomogeneous turbulent-like pattern manifesting as the secondary
activation of rotation in neighboring hard material. Such rotation activation
contributes to further perturbation, and ultimately, leads to shear band
formation. Our findings also reinforce that the discussion of plastic behavior
in disordered materials must take into account both affine and non-affine
component deformation.

31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn