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Dynamic strain loading of cubic to tetragonal martensites
Ferroelastic dynamics and strain compatibility
We derive underdamped evolution equations for the order-parameter (OP) strains of a proper ferroelastic material undergoing a structural transition, using Lagrangian variations with Rayleigh…
Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
We study the equilibrium phase diagram of ultrathin chiral magnets with easy-plane anisotropy $A$. The vast triangular skyrmion lattice phase that is stabilized by an external magnetic field evolves…
Particle model for skyrmions in metallic chiral magnets: Dynamics, pinning, and creep
Recently spin textures called skyrmions have been discovered in certain chiral magnetic materials without spatial inversion symmetry, and have attracted enormous attention due to their promising…
Landau theory for shape memory polycrystals
Kink-Kink and Kink-Antikink Interactions with Long-Range Tails.
It is found that the force of interaction decays with the 2n/(n-1)th power of their separation, and the general prefactor for arbitrary n is identified.
Three-dimensional elastic compatibility and varieties of twins in martensites.
- K. Rasmussen, T. Lookman, A. Saxena, A. Bishop, R. Albers, S. R. Shenoy
- Materials SciencePhysical review letters
- 28 January 2000
It is shown in three dimensions (3D) that solving the St. Venant compatibility relations for strain generates three anisotropic long-range potentials between the two order parameter components that encode 3D discrete symmetries, express the energetics of lattice integrity, and determine 3D textures.
Linear superposition for a class of nonlinear equations
Nonlinear Dirac equation solitary waves in external fields.
- F. Mertens, N. Quintero, Fred Cooper, A. Khare, A. Saxena
- PhysicsPhysical review. E, Statistical, nonlinear, and…
- 10 August 2012
The accuracy of the variational approximation using numerical simulations of the NLDE is investigated and it is found that, when the forcing term is small and the solitary wave is stable, that the behavior of the solutions of the collective coordinate equations agrees very well with the numerical simulations.
Compactons in PT-symmetric generalized Korteweg-de Vries equations
In an earlier paper Cooper, Shepard, and Sodano introduced a generalized KdV equation that can exhibit the kinds of compacton solitary waves that were first seen in equations studied by Rosenau and…