Defect-induced incompatibility of elastic strains: Dislocations within the Landau theory of martensitic phase transformations

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 18, 2008, Pages

  Groger R ^a   Lookman, T ^a   Saxena, A ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 56349105200     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.184101     Document Type: Article

References (64)

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60. It is always possible to augment this deterministic relaxational dynamics by a stochastic term that is often characterized (Ref.) as white noise with zero mean and variance 2Γ kB T. However, it can be shown that this noise plays an important role only at the temperatures slightly below Tc, where thermal fluctuations may overcome the energy barrier between the two variants of the martensite and, therefore, cause switching between these variants. In this case, the twin boundary between individual martensite variants would not be sharp but rather diffuse. At low temperatures, i.e., well below Tc, this barrier is large and the weak thermal fluctuations cannot cause this switching. Similarly, above Tc, the free energy has one minimum corresponding to e2 =0 and the thermal fluctuations would merely cause broadening of the distribution of e2. The goal of this paper is to give a proof of the principle and, for simplicity, the effect of thermal noise is not included.
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