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Nucleation and growth manifest universal scaling, surely

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arxiv 2405.11231 v2 pith:2ACXP4CE submitted 2024-05-18 cond-mat.stat-mech

classification cond-mat.stat-mech
keywords growthnucleationscalinguniversalcriticalphasebehaviordifferent
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When a system is brought to a metastable state, nuclei of the equilibrium phase form and grow. This is the well-known nucleation and growth of first-order phase transitions. Near a critical point of a continuous phase transition, critical phenomena such as critical opalescence characterized by universal scaling emerge. These two sets of behavior are so completely different that it might appear absurd to ask whether nucleation and growth exhibit even a slight universal scaling. Here we show that universal scaling is indeed manifested in standard nucleation and growth by introducing a non-universal initial time to a recently proposed method. This generalizes the method and provides a different perspective for studying universal scaling behavior and hence universality classes of nucleation and growth.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Is there Kibble-Zurek scaling of topological defects in first-order phase transitions?

    cond-mat.stat-mech 2025-01 reject novelty 6.0 of 10

    Cooling through a first-order phase transition gives complete universal scaling of the order parameter, but no universal Kibble-Zurek scaling of topological defects.

  2. Evaluating AI for Finance: Is AI Credible at Assessing Investment Risk?

    cs.CL 2025-05 reject novelty 4.0 of 10

    An evaluation of eight LLMs on a hand-built risk-tolerance rubric finds large scoring errors and small demographic differences, but the rubric given to the models contradicts the rubric used as ground truth.

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