# First Passage Times and Time-Temperature-Transformation curves for Martensites

Source: [First Passage Times and Time-Temperature-Transformation curves for Martensites](<https://www.sota2.com/research/paper/68fa1e977a2b558e29323604>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T15:21:59.528Z

Authors: Madan Rao, Surajit Sengupta

Published: 1997-09-02T08:32:10.000Z

## Abstract

Martensites are long-lived nonequilibrium structures produced following a quench across a solid state structural transition. In a recent paper (Phys. Rev. Lett. 78, 2168 (1997)), we had described a mode-coupling theory for the morphology and nucleation kinetics of the equilibrium ferrite phase and twinned martensites. Here we calculate nucleation rates within a first-passage time formalism, and derive the time-temperature-transformation (TTT) diagram of the ferrite-martensite system for athermal and isothermal martensites. Empirically obtained TTT curves are extensively used by metallurgists to design heat treatment cycles in real materials.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9709022>)

[PDF](<https://arxiv.org/pdf/cond-mat/9709022.pdf>)