Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-Spin Ising Model and Monte Carlo Simulation of Ferroelastic Phase
  Transition: 3D Diffuse Scattering and Displacement Short-Range Ordering in
  Pre-Martensitic State   A quasi-spin Ising model of ferroelastic phase transition is developed and
employed to perform atomic-scale Monte Carlo simulation of thermoelastic
martensitic transformation. The quasi-spin variable associated with the lattice
sites characterizes the local unit cells of the orientation variants of the
ground-state martensite phase, which interact with each other through
long-range elastic interactions. The simulation study focuses on the intrinsic
behaviors of a defect-free crystal that undergoes cubic-to-tetragonal
martensitic transformation. It is shown that the diffuse scattering in the
pre-martensitic austenite state results from the spatial correlation of the
atomic-scale heterogeneous lattice displacements and manifests the displacement
short-range ordering. The effects of temperature, elastic anisotropy, and shear
modulus softening on the diffuse scattering and displacement short-range
ordering are investigated. It is found that elastic softening in the shear
modulus C'=(C11-C12)/2 promotes <110>|<1-10> displacement plane waves that
stabilize the cubic austenite phase through increased entropy, decreasing the
martensitic transformation temperature. The simulated diffuse scattering is
compared and agrees with the complementary synchrotron X-ray single-crystal
diffuse scattering experiment.

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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat