Evidence map›Paper›PMID 24943954›Full record

ArticleNature2014

Metastable liquid-liquid transition in a molecular model of water.

Jeremy C Palmer, Fausto Martelli, Yang Liu, Roberto Car, Athanassios Z Panagiotopoulos, Pablo G Debenedetti

Abstract read
PubMed Publisher
In one paragraph

Article in Nature, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 95 papers.

0numbers the graph read from it
0cells of the map it votes in
95citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

95 citing papers in PubMed.

  1. Article
  2. Article
  3. Article
  4. Article
  5. Assessing Order in Liquid, Supercooled, and Crystalline Water.The journal of physical chemistry. B · 2026
    Article
  6. Article
  7. Direct observation of liquid-liquid phase coexistence in deeply supercooled water using an accurate polarizable multipole model.Proceedings of the National Academy of Sciences of the United States of America · 2026
    Article
  8. Article
  9. Article
  10. Computational investigation of water glasses using machine-learning potentials.Proceedings of the National Academy of Sciences of the United States of America · 2025
    Article
  11. Article
  12. Article
  13. Hierarchy of topological transitions in a network liquid.Proceedings of the National Academy of Sciences of the United States of America · 2024
    Article
  14. Evidence of ferroelectric features in low-density supercooled water from ab initio deep neural-network simulations.Proceedings of the National Academy of Sciences of the United States of America · 2024
    Article
  15. Liquid-liquid transition and ice crystallization in a machine-learned coarse-grained water model.Proceedings of the National Academy of Sciences of the United States of America · 2024
    Article
  16. Article
  17. Article
  18. Article
  19. Article
  20. Thermodynamic anomalies, polyamorphism and all that.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2023
    Article

35 more citing papers are in PubMed but not listed here.

4 · The record

Corrections and comments

5 · Who and what money

Authors and funding

6 authors.

Jeremy C PalmerDepartment of Chemical and Biological Engineering, Princeton University, Princeton, New Jersey 08544, USA.
Fausto MartelliDepartment of Chemistry, Princeton University, Princeton, New Jersey 08544, USA.
Yang Liu1] Department of Chemical and Biological Engineering, Princeton University, Princeton, New Jersey 08544, USA [2] Air Products and Chemicals Inc., Allentown, Pennsylvania 18195, USA.
Roberto CarDepartment of Chemistry, Princeton University, Princeton, New Jersey 08544, USA.
Athanassios Z PanagiotopoulosDepartment of Chemical and Biological Engineering, Princeton University, Princeton, New Jersey 08544, USA.
Pablo G DebenedettiDepartment of Chemical and Biological Engineering, Princeton University, Princeton, New Jersey 08544, USA.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Liquid water's isothermal compressibility and isobaric heat capacity, and the magnitude of its thermal expansion coefficient, increase sharply on cooling below the equilibrium freezing point. Many experimental, theoretical and computational studies have sought to understand the molecular origin and implications of this anomalous behaviour. Of the different theoretical scenarios put forward, one posits the existence of a first-order phase transition that involves two forms of liquid water and terminates at a critical point located at deeply supercooled conditions. Some experimental evidence is consistent with this hypothesis, but no definitive proof of a liquid-liquid transition in water has been obtained to date: rapid ice crystallization has so far prevented decisive measurements on deeply supercooled water, although this challenge has been overcome recently. Computer simulations are therefore crucial for exploring water's structure and behaviour in this regime, and have shown that some water models exhibit liquid-liquid transitions and others do not. However, recent work has argued that the liquid-liquid transition has been mistakenly interpreted, and is in fact a liquid-crystal transition in all atomistic models of water. Here we show, by studying the liquid-liquid transition in the ST2 model of water with the use of six advanced sampling methods to compute the free-energy surface, that two metastable liquid phases and a stable crystal phase exist at the same deeply supercooled thermodynamic condition, and that the transition between the two liquids satisfies the thermodynamic criteria of a first-order transition. We follow the rearrangement of water's coordination shell and topological ring structure along a thermodynamically reversible path from the low-density liquid to cubic ice. We also show that the system fluctuates freely between the two liquid phases rather than crystallizing. These findings provide unambiguous evidence for a liquid-liquid transition in the ST2 model of water, and point to the separation of time scales between crystallization and relaxation as being crucial for enabling it.

Indexed as

Models, MolecularTemperatureThermodynamicsWaterWater

Identifiers

PMID24943954

What OpenQuestion holds

Textmetadata
Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.