Computer Simulation of Martensite Spread: A Stochastic Approach

Rios, Paulo Rangel; Cardoso, Filipi G.; Neves, Tiago Araújo; Guimarães, J.R.C.

doi:10.1007/978-3-319-48127-2_84

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“…with n m = 0 or 1 for uniform austenite or martensite. An athermal martensite droplet or embryo can rapidly form anywhere from fluctuations, and after an incubation wait, can propagate at sound speeds with acoustic emissions, to convert the entire system [21,22]. The smallest times for local conversion will determine the global conversion times.…”

Section: Bottlenecks and Effective Search Temperatures -mentioning

confidence: 99%

“…In this letter we test the PES proposal, using MC simulations of solid-solid structural transitions of martensites [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30], with the three-dimensional cubicto-tetragonal transition (3D-CT) as an example [25][26][27][28]. There is a two-component strain order parameter, describing three competing variants of the strained martensitic unit cell.…”

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confidence: 99%

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Understanding Vogel-Fulcher–like equilibration times through the partial equilibration scenario

Shankaraiah¹,

Murthy²,

Shenoy³

2023

EPL

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We test a post-quench Partial Equilibration Scenario (PES) of Ritort and colleagues, through Monte Carlo quench simulations, of a vector-spin model for a cubic-tetragonal, martensitic structural transition. We conﬁrm the PES signature distribution of an exponential tail in heat releases, scaled in an eﬀective search temperature that controls energy-lowering passages between ﬁxed-energy shells. Our simulations ﬁnd that this eﬀective temperature vanishes linearly in the deviation of the quench temperatures from a characteristic temperature, where passage bottlenecks in phase space change their topology, and entropy barriers diverge. Equilibration delay times, exponential in the inverse eﬀective temperature, are thus predicted to show singular Vogel-Fulcher behaviour, that is now understood as an arrest of PES heat releases to the bath, and conﬁrmed in experimental data on martensitic alloys.

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Section: Bottlenecks and Effective Search Temperatures -mentioning

confidence: 99%