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N N ucleation and anomalous properties ucleation and anomalous properties of pure and salty water of pure and salty water Jose L. F. Abascal Depto. Quimica-Fisica I, Univ. Complutense Madrid

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Page 1: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

NNucleation and anomalous properties ucleation and anomalous properties of pure and salty waterof pure and salty water

Jose L. F. Abascal

Depto. Quimica-Fisica I, Univ. Complutense Madrid

Page 2: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

J.L.F. Abascal 9th RES Users Conference – Barcelona

Motivation

Liquid-liquid critical point

(retracing TMD)

Stability limit conjecture

(retracing spinodal)

In 1976 Speedy and Angell provided experimental evidence of a divergence in the isothermal compressibility of supercooled water

Possible Scenarios

 The interesting region lies in the no man's land, not accessible to experiment because it  is beyond the homogeneous nucleation line

Page 3: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

The no man's land region

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 4: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

A difficult puzzle to solve

Because of the experimental difficulties (no man's land region), numerical simulation may provide important information

but …

is the water force field accurate enough?

J.L.F. Abascal 9th RES Users Conference – Barcelona

TIP4P/2005

Page 5: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Performance of TIP4P/2005

VLE

Surface Tension Self Diffusion Coefficient

Shear Viscosity

EOS high pressure

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 6: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

C. Vega and J.L.F. Abascal, PCCP 13, 19663 (2011)

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 7: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Temperature of maximum density (TIP4P/2005 vs experiment)

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 8: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

The doubly metastable region

It is possible to cross the (κT) Widom line before the system nucleates!

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 9: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Speed of sound

Experiment

Simulation

This is the first experimental report of extremafor a response function in supercooled bulk water!

Pallares et al., PNAS 111, 7936 (2014)

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 10: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Isothermal compressibility

Positive pressures

Negative pressures

J.L.F. Abascal 9th RES Users Conference – Barcelona

Maxima and minima collapse below -100 MPa

Page 11: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Scenario of water anomalies for TIP4P/2005 (I)

J.L.F. Abascal WaterSpain2013 - Zaragoza

Page 12: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Scenario of water anomalies for TIP4P/2005 (I)

J.L.F. Abascal WaterSpain2013 - Zaragoza

Singularity free scenario must be ruled out

 TIP4P/2005 results compatible with the liquid­liquid critical point hypothesis

Page 13: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Temperature of minimum density (TmD)

J.L.F. Abascal 9th RES Users Conference – Barcelona

Positive pressures Negative pressures

Density minima are featured in the stretched region

Page 14: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

TmD and heat capacity extrema (Cp)

J.L.F. Abascal 9th RES Users Conference – Barcelona

The maxima and minima of Cp appear only in the supercooled region 

(usually, in the doubly metastable region)

Density minima are featured in the stretched region

Page 15: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Full scenario of water anomalies (TIP4P/2005)

J.L.F. Abascal 9th RES Users Conference – Barcelona

The liquid­liquid critical point scenario seems plausible but it could also be possible 

that Tc = 0 K

Page 16: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Relevance of ice nucleation

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 17: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

nucle

ación

crecimiento

Homogeneous nucleation: free energy and nucleation rate

Z: Zeldovich factor

f+: attachment rate

ρl: liquid density

Classical nucleation theory (CNT):

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 18: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Generation of a spherical ice cluster Insertion of the ice cluster in liquid water

Molecular Dynamics simulations at different temperatures

lead to bound the temperature at which the cluster is critical

Seeding technique to evaluate N*

Order parameter to detect the ice molecules

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 19: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Calculation of ∆µ: thermodynamic integration

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 20: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Calculation of the attachment rate f+

Perform  a  number  of  simulations of  a  cluster  at  the  temperature at which the  cluster is critical

f+ = slope/2

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 21: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Relevant results: Size of the critical cluster and nucleation rates

The size of the critical cluster is almost independent of the water model

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 22: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Size of the critical cluster and nucleation rates

The size of the cluster cluster seems to be independent of the 

water model

E. Sanz et al., JACS 135, 15008 (2013)

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 23: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Size of the critical cluster and nucleation rates

The size of the cluster cluster seems to be independent of the 

water model

It is impossible that liquid water nucleates  homogeneously  in  Earth for a supercooling ∆T < 20 K  

E. Sanz et al., JACS 135, 15008 (2013)

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 24: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Effect of salt on water anomalies (at extreme conditions)

Effect of salt on nucleation rate

Development of a force field for ionic solutions based on TIP4P/2005s

Ongoing work on NaCl solutions

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 25: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Université de Lyon

Gaël Pallares

Mouna El Mekki Azouzi

Frédéric Caupin

Carlos Vega

Eduardo Sanz

Chantal Valeriani

Miguel Angel González

Jorge Reñé

Pablo Rosales

Miguel Aníbal Portillo

Guiomar Delgado

Alberto Zaragoza

UCM team

Acknowledgements

We acknowledge the time allocated on the computational facilities

Minotauro and Tirant from the Spanish Supercomputing Network

(RES) along with the technical support.

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 26: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Supercooled TIP4P/2005 water: simulation vs. experiment

J.L.F.Abascal and C. Vega, JCP 134 186101 (2011)

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 27: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

Iiquid-vapour spinodal

J.L.F. Abascal 9th RES Users Conference – Barcelona

Page 28: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

A liquid-liquid critical point?

J.L.F. Abascal WaterSpain2013 - Zaragoza

J.L.F.Abascal and C. Vega , JCP 133, 234502 (2010)

Page 29: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance
Page 30: Nucleation and anomalous properties of pure and salty water...is the water force field accurate enough? J.L.F. Abascal 9th RES Users Conference – Barcelona TIP4P/2005 Performance

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