Subtopic Deep Dive

Liquid-Liquid Phase Transition in Supercooled Liquids
Research Guide

What is Liquid-Liquid Phase Transition in Supercooled Liquids?

Liquid-liquid phase transition in supercooled liquids refers to the proposed metastable transition between low-density and high-density liquid phases in deeply supercooled states, underlying polyamorphism in glassy materials.

This phenomenon manifests as a first-order transition detectable via simulations and fast scanning calorimetry in substances like water and phosphorus. Key evidence includes thermodynamic singularities in supercooled water (Speedy and Angell, 1976, 901 citations) and direct observation in phosphorus (Katayama et al., 2000, 836 citations). Over 10 highly cited papers from 1976-2009 explore its role in glass transitions and jamming.

Curated Papers

Key Challenges

Why It Matters

Liquid-liquid transitions explain polyamorphism in metallic glasses, aiding design of strong amorphous alloys with wide supercooled regions, as in Zr-Al-TM systems (Zhang et al., 1991, 765 citations). They resolve glass transition puzzles through scaling concepts near ideal glassy states (Kirkpatrick et al., 1989, 996 citations). In water, modeled as intermediate between carbon and silicon, these transitions link to tetrahedral amorphous phases (Molinero and Moore, 2008, 1097 citations), impacting cryobiology and geophysics.

Key Research Challenges

Detecting Metastable Transitions

Direct observation requires ultra-fast cooling to avoid crystallization, challenging experimental setups. Simulations struggle with accurate potentials for supercooled states (O’Hern et al., 2003, 1563 citations). Evidence remains debated due to kinetic barriers (Speedy and Angell, 1976).

Thermodynamic Singularity Verification

Power-law divergences in compressibility suggest singularities, but extrapolation to -45°C lacks confirmation. Distinguishing from kinetic effects confounds analysis (Speedy and Angell, 1976, 901 citations). Universality across materials unproven (Dyre and Schrøder, 2000, 1262 citations).

Linking to Glass Transition

Connecting liquid-liquid transitions to jamming and elastic models remains unresolved. Scaling theories predict random first-order transitions, needing validation (Kirkpatrick et al., 1989, 996 citations). Models like Shoving Model require multi-scale testing (Dyre, 2006, 1196 citations).

Essential Papers

Jamming at zero temperature and zero applied stress: The epitome of disorder

Corey S. O’Hern, Leonardo E. Silbert, Andrea J. Liu et al. · 2003 · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1.6K citations

We have studied how two- and three-dimensional systems made up of particles interacting with finite range, repulsive potentials jam (i.e., develop a yield stress in a disordered state) at zero temp...

Universality of ac conduction in disordered solids

Jeppe C. Dyre, Thomas B. Schrøder · 2000 · Reviews of Modern Physics · 1.3K citations

The striking similarity of ac conduction in quite different disordered solids is discussed in terms of experimental results, modeling, and computer simulations. After giving an overview of experime...

<i>Colloquium</i>: The glass transition and elastic models of glass-forming liquids

Jeppe C. Dyre · 2006 · Reviews of Modern Physics · 1.2K citations

Udgivelsesdato: jul-sep

Water Modeled As an Intermediate Element between Carbon and Silicon

Valeria Molinero, Emily B. Moore · 2008 · The Journal of Physical Chemistry B · 1.1K citations

Water and silicon are chemically dissimilar substances with common physical properties. Their liquids display a temperature of maximum density, increased diffusivity on compression, and they form t...

Scaling concepts for the dynamics of viscous liquids near an ideal glassy state

T. R. Kirkpatrick, D. Thirumalai, Peter G. Wolynes · 1989 · Physical review. A, General physics · 996 citations

Motivated by recent mean-field theories of the structural glass transition and of the Potts glass model we formulate a scaling and droplet picture of an assumed ideal structural glass transition. T...

Models of the glass transition

J. Jäckle · 1986 · Reports on Progress in Physics · 940 citations

The different physical aspects of glass transitions are reviewed and models aiming at their explanation are described. The following three main aspects are distinguished: the degree of stability of...

Isothermal compressibility of supercooled water and evidence for a thermodynamic singularity at −45°C

Robin J. Speedy, C. Austen Angell · 1976 · The Journal of Chemical Physics · 901 citations

Using a capillary technique for small samples, the isothermal compressibility κT of water has been measured to −26°C. Accelerating increases of κT at the lower temperatures can be described by an e...

Reading Guide

Foundational Papers

Start with Speedy and Angell (1976) for water compressibility singularity evidence; Katayama et al. (2000) for experimental phosphorus transition; Kirkpatrick et al. (1989) for scaling to glass transitions.

Recent Advances

Cavagna (2009, 774 citations) reviews supercooled liquid dynamics; O’Hern et al. (2003, 1563 citations) links to jamming; Molinero and Moore (2008, 1097 citations) models water polyamorphism.

Core Methods

Molecular dynamics with repulsive potentials (O’Hern et al., 2003); mW water model (Molinero and Moore, 2008); power-law fits for singularities (Speedy and Angell, 1976); elastic Shoving Model (Dyre, 2006).

How PapersFlow Helps You Research Liquid-Liquid Phase Transition in Supercooled Liquids

Discover & Search

Research Agent uses citationGraph on Katayama et al. (2000) to map phosphorus liquid-liquid transition citations, revealing connections to water polyamorphism; exaSearch queries 'supercooled liquid-liquid transition simulations' for 250M+ OpenAlex papers; findSimilarPapers expands from Speedy and Angell (1976) to jamming works.

Analyze & Verify

Analysis Agent runs runPythonAnalysis on compressibility data from Speedy and Angell (1976) to fit power-law γ exponent; verifyResponse with CoVe cross-checks claims against O’Hern et al. (2003) jamming metrics; GRADE grading scores evidence strength for thermodynamic singularity claims.

Synthesize & Write

Synthesis Agent detects gaps in linking liquid-liquid transitions to metallic glasses (Zhang et al., 1991); Writing Agent applies latexSyncCitations and latexCompile for phase diagram reports; exportMermaid generates density-temperature transition diagrams from simulation data.

Use Cases

"Plot isothermal compressibility divergence from supercooled water data."

Research Agent → searchPapers 'Speedy Angell 1976' → Analysis Agent → runPythonAnalysis (NumPy fit κT=Aε^γ curve) → matplotlib plot of singularity at -45°C.

"Draft LaTeX review of liquid-liquid transitions in Zr-Al alloys."

Research Agent → citationGraph 'Zhang Inoue 1991' → Synthesis Agent → gap detection → Writing Agent → latexEditText + latexSyncCitations + latexCompile → PDF with supercooled region diagrams.

"Find simulation code for jamming in supercooled liquids."

Research Agent → searchPapers 'O’Hern jamming 2003' → Code Discovery → paperExtractUrls → paperFindGithubRepo → githubRepoInspect → Python sandbox verification of zero-stress jamming.

Automated Workflows

Deep Research workflow scans 50+ papers from Kirkpatrick et al. (1989) via citationGraph → structured report on scaling near glassy states. DeepScan applies 7-step CoVe to verify Katayama et al. (2000) phosphorus transition against water models. Theorizer generates hypotheses linking Dyre (2006) elastic models to liquid-liquid transitions.

Try Doxa for Liquid-Liquid Phase Transition in Supercooled Liquids Research

Frequently Asked Questions

What defines liquid-liquid phase transition in supercooled liquids?

It is a metastable first-order transition between low- and high-density liquids below melting point, evidenced in phosphorus (Katayama et al., 2000) and supercooled water (Speedy and Angell, 1976).

What methods detect these transitions?

Fast scanning calorimetry, diamond anvil cells for phosphorus (Katayama et al., 2000), and capillary compressibility measurements for water (Speedy and Angell, 1976); simulations use repulsive potentials (O’Hern et al., 2003).

What are key papers?

Foundational: Speedy and Angell (1976, 901 citations) on water singularity; Katayama et al. (2000, 836 citations) on phosphorus. Reviews: Dyre (2006, 1196 citations) on glass models; Cavagna (2009, 774 citations) on supercooled dynamics.

What open problems exist?

Universal existence across glass-formers unproven; kinetic vs. thermodynamic nature debated (Kirkpatrick et al., 1989); metallic glass applications need wider ΔTx validation beyond Zr-Al-TM (Zhang et al., 1991).