Tweed in martensites: a potential new spin glass

  title={Tweed in martensites: a potential new spin glass},
  author={James P. Sethna and Sivan Kartha and Teresa Cast'an and James A. Krumhansl},
  journal={Physica Scripta},
We've been studying the "tweed" precursors above the martensitic transition in shape-memory alloys. These characteristic cross-hatched modulations occur for hundreds of degrees above the first-order shape-changing transition. Our two-dimensional model for this transition, in the limit of infinite elastic anisotropy, can be mapped onto a spin-glass Hamiltonian in a random field. We suggest that the tweed precursors are a direct analogy of the spin-glass phase. The tweed is intermediate between… 
14 Citations

Figures from this paper

Hierarchical microstructure in structural phase transitions
Abstract We consider a model in the context of martensitic materials in which hierarchical twinning near the habit plane (austenite-martensite interface) is a new and crucial ingredient. The model
Phase transformation of metastable beta Ti alloys with tweed structure
This paper presents the finding of a microstructural abnormality generated in the metastable phase of a supersaturated state, and compares the results with ordering behavior such as premartensitic
Discrete Pseudo Spin and Continuum Models for Strain Glass
Strain glass refers to a frozen disordered state of lattice strain, conjugate to the long-range ordering in ferroelastics. A number of descriptions have been invoked over the last few years to model
A Simple Spin Glass Perspective on Martensitic Shape-memory Alloys
A brief qualitative mapping is given between austenite, tweed and twinned phases of martensite alloys and corresponding paramagnetic, spin glass and periodic phases in spin glass alloys.
Vibrational properties of shape-memory alloys
Publisher Summary This chapter discusses vibrational properties of shape-memory alloys. The crystal structure of a given material depends on its energy and also its entropy, which plays an
Continuous elastic phase transitions in pure and disordered crystals
  • F. Schwabl, U. Täuber
  • Physics, Materials Science
    Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 1996
We review the theory of second-order (ferro-)elastic phase transitions, where the order parameter consists of a certain linear combination of strain tensor components, and the accompanying soft mode
Hierarchical pattern formation in elastic materials
Abstract We study hierarchical structures such as branched twins in elastic materials based on a model of martensitic materials in which hierarchical twinning near the habit plane
Doping effects of point defects in shape memory alloys
Abstract Doping point defects into shape memory alloys (SMAs) influences their transformation behavior and mechanical properties. We propose a general Landau free energy model to study doping
Internal variables and fine-scale oscillations in micromagnetics
We derive the field energy of micromagnetics by computing the limiting energy of a lattice of dipoles as a typical lattice parameter goes to zero. Different limiting energies are obtained, depending
Aging in the relaxor ferroelectric(PbMn1∕3Nb2∕3O3)0.90(PbTiO3)0.10
The relaxor ferroelectric (PbMn$_{1/3}$Nb$_{2/3}$O$_3$)$_{1-x}$(PbTiO$_3$)$_{x}$, $x=0.1$, (PMN/PT(90/10)) is found to exhibit several regimes of complicated aging behavior. Just below the


Spin-glass nature of tweed precursors in martensitic transformations.
This tweed theoretically is model theoretically using a nonlinear, nonlocal elastic free energy, and it is argued that quenched concentration inhomogeneities drive the local tweed modulations.
Low temperature electron microscopy on the cubic-tetragonal transformation of V3Si
The cubic-tetragonal martensitic transition of V3Si and its precursor have been investigated in the temperature range from 13 K to 80 K using a 1 MV electron microscope with a double-tilting cold
Tweed microstructures I. Characterization in β-NiAl
Abstract Abstract We describe an electron microscopic investigation of an as-quenched 63 at. % Ni-Al alloy. This material exhibits strong tweed contrast and associated diffraction effects, commonly
An Extended Mean Field Model for Spin Glasses: Antiferromagnetic-Spin Glass Systems
An extended mean field model, which describes coupled spin glass (SG) systems, is introduced and applied to' antiferromagnetic (AF)-SG systems. It is an extended model of a simple AF-SG system
Kinetics of strain-related morphology transformation in YBa2Cu3O7- delta.
The kinetics of ordering with a reduction of a crystal lattice point symmetry and related transformation-induced elastic strain is considered for the first time and predicted morphologies are typical for other systems with the point-symmetry reduction where the elastic strain accommodation plays an important role.
Tweed microstructures III. Origin of the tweed contrast in p and y Ni-Al alloys
Abstract In the previous two papers in this series we have described our observations of tweed microstructures in several phases of the nickel-aluminium system. In this paper we attempt to provide
Precursor Phenomena at Martensitic Phase Transition in Fe-Pd Alloy. I. Two-Tetragonal-Mixed Phase and Crest-Riding-Periodon
Precise X-ray diffraction study has been carried out in the vicinity of fcc-fct transition in Fe-Pd alloys in order to investigate the pretransitional phenomena at martensite transformations. Using a
Mean-field theory of the Potts glass.
Randomly interacting p-state Potts spins may freeze into a Potts-glass phase in which the Potts symmetry is unbroken, on the average. The mean-field theory of this phase transition is presented.
Tweed structures associated with Fcc-Fct transformations in Fe-Pd alloys
The tweed microstructure associated with fcc-fct martensitic transformation in Fe-Pd alloys containing about 30 at. pct Pd was investigated by transmission electron microscopy and the selected area
Tweed microstructures II. In several phases of the Ni-Al system
Abstract In this second in a series of papers on tweed microstructures in phases of the Ni-Al system, we describe the electron microstructure of the 3R and 7R martensites, the γ phase and the newly