# Zero-Temperature Freezing in Three-Dimensional Kinetic Ising Model

Source: [Zero-Temperature Freezing in Three-Dimensional Kinetic Ising Model](<https://www.sota2.com/research/paper/68fa2a271e209131ce83a971>)

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

Data updated: 2025-10-24T13:21:13.609Z

Authors: J. Olejarz, P. L. Krapivsky, S. Redner

Published: 2010-11-12T13:12:20.000Z

## Abstract

We investigate the long-time properties of the Ising-Glauber model on a periodic cubic lattice after a quench to zero temperature. In contrast to the conventional picture from phase-ordering kinetics, we find: (i) Domains at long time are highly interpenetrating and topologically complex, with average genus growing algebraically with system size. (ii) The long-time state is almost never static, but rather contains "blinker" spins that can flip ad infinitum with no energy cost. (iii) The energy relaxation has a complex time dependence with multiple characteristic time scales, the longest of which grows exponentially with system size.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1011.2903>)

[PDF](<https://arxiv.org/pdf/1011.2903.pdf>)