Understanding Static and Dynamic Heterogeneities in Confined Water

Abstract We report recent efforts to understand the new MIT-Messina experimental discovery of a dynamic crossover at low temperatures in confined water. Preliminary calculations are not inconsistent with one tentative interpretation of this dynamic crossover as resulting from the system passing from the high-temperature high-pressure "HDL" side of the Widom line (where the liquid might display fragile behavior) to the low-temperature low-pressure "LDL" side of the Widom line (where the liquid might display strong behavior). The Widom line - defined to be the line in the pressure-temperature plane where the correlation length has its maximum - arises only if there is a critical point. Hence interpreting the MIT experiments in terms of a Widom line is of potential relevance to testing experimentally, for confined water, the liquid-liquid critical point hypothesis.

[1]  S. Sastry,et al.  Liquid–liquid critical point in supercooled silicon , 2011, 1103.3473.

[2]  H. Stanley,et al.  Dynamical crossover and breakdown of the Stokes-Einstein relation in confined water and in methanol-diluted bulk water. , 2010, The journal of physical chemistry. B.

[3]  A. Nilsson,et al.  The inhomogeneous structure of water at ambient conditions , 2009, Proceedings of the National Academy of Sciences.

[4]  H. Stanley,et al.  Appearance of a Fractional Stokes-Einstein Relation in Water and a Structural Interpretation of Its Onset , 2009 .

[5]  D. Leporini,et al.  ESR evidence for 2 coexisting liquid phases in deeply supercooled bulk water , 2009, Proceedings of the National Academy of Sciences.

[6]  V. Molinero,et al.  Growing correlation length in supercooled water. , 2009, The Journal of chemical physics.

[7]  H. Stanley,et al.  Hydrogen-bond dynamics of water in a quasi-two-dimensional hydrophobic nanopore slit. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Chae Un Kim,et al.  Evidence for liquid water during the high-density to low-density amorphous ice transition , 2009, Proceedings of the National Academy of Sciences.

[9]  Shuangyan Xu,et al.  Thermal expansion of confined water. , 2009, Langmuir : the ACS journal of surfaces and colloids.

[10]  H. Stanley,et al.  A monatomic system with a liquid-liquid critical point and two distinct glassy states. , 2009, The Journal of chemical physics.

[11]  H. Stanley,et al.  Relation of water anomalies to the excess entropy. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Christopher M. Martin,et al.  Detection of First-Order Liquid/Liquid Phase Transitions in Yttrium Oxide-Aluminum Oxide Melts , 2008, Science.

[13]  V. Molinero,et al.  Water modeled as an intermediate element between carbon and silicon. , 2008, The journal of physical chemistry. B.

[14]  P Ganesh,et al.  Liquid-liquid transition in supercooled silicon determined by first-principles simulation. , 2008, Physical review letters.

[15]  S. H. A. Chen,et al.  NMR evidence of a sharp change in a measure of local order in deeply supercooled confined water , 2008, Proceedings of the National Academy of Sciences.

[16]  H. Stanley,et al.  Clustering dynamics in water/methanol mixtures: a nuclear magnetic resonance study at 205 k , 2008, The journal of physical chemistry. B.

[17]  H. Stanley,et al.  Liquid polyamorphism: Possible relation to the anomalous behaviour of water , 2008 .

[18]  S. H. A. Chen,et al.  Transport properties of supercooled confined water , 2008 .

[19]  A. Oleinikova,et al.  Interfacial and Confined Water , 2008 .

[20]  H. Eugene Stanley,et al.  Effect of hydrogen bond cooperativity on the behavior of water , 2008, Proceedings of the National Academy of Sciences.

[21]  Sergey V. Buldyrev,et al.  Liquid Polyamorphism: Some Unsolved Puzzles of Water in Bulk, Nanoconfined, and Biological Environments , 2008 .

[22]  Sergey V. Buldyrev,et al.  The puzzling unsolved mysteries of liquid water: Some recent progress , 2007 .

[23]  H. Stanley,et al.  Absence of a diffusion anomaly of water in the direction perpendicular to hydrophobic nanoconfining walls. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  Chung-Yuan Mou,et al.  The anomalous behavior of the density of water in the range 30 K < T < 373 K , 2007, Proceedings of the National Academy of Sciences.

[25]  H Eugene Stanley,et al.  Connection of translational and rotational dynamical heterogeneities with the breakdown of the Stokes-Einstein and Stokes-Einstein-Debye relations in water. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  H. Eugene Stanley,et al.  The Widom line of supercooled water , 2007 .

[27]  R. Ludwig.  The importance of tetrahedrally coordinated molecules for the explanation of liquid water properties. , 2007, Chemphyschem : a European journal of chemical physics and physical chemistry.

[28]  Sow-Hsin Chen,et al.  Observation of the density minimum in deeply supercooled confined water , 2007, Proceedings of the National Academy of Sciences.

[29]  H. Stanley,et al.  Relation between the Widom line and the breakdown of the Stokes–Einstein relation in supercooled water , 2007, Proceedings of the National Academy of Sciences.

[30]  H. Stanley,et al.  Predictions of dynamic behavior under pressure for two scenarios to explain water anomalies. , 2007, Physical review letters.

[31]  A. Faraone,et al.  Evidence of the existence of the low-density liquid phase in supercooled, confined water , 2007, Proceedings of the National Academy of Sciences.

[32]  Thomas Loerting,et al.  Amorphous ices: experiments and numerical simulations , 2006 .

[33]  Stephen Becker,et al.  Breakdown of the Stokes-Einstein Relation in Supercooled Water , 2007, cond-mat/0702141.

[34]  R. Ludwig.  The puzzling properties of supercooled and glassy water. , 2006, Angewandte Chemie.

[35]  Chung-Yuan Mou,et al.  The violation of the Stokes–Einstein relation in supercooled water , 2006, Proceedings of the National Academy of Sciences.

[36]  F. Starr,et al.  Fractional Stokes-Einstein and Debye-Stokes-Einstein relations in a network-forming liquid. , 2006, Physical review letters.

[37]  H. Stanley,et al.  Thermodynamics and dynamics of the two-scale spherically symmetric Jagla ramp model of anomalous liquids. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[38]  S. H. Chen,et al.  The fragile-to-strong dynamic crossover transition in confined water: nuclear magnetic resonance results. , 2006, The Journal of chemical physics.

[39]  D. DeMets,et al.  Marketing Drugs Too Early in Testing , 2006, Science.

[40]  E. Sigmund,et al.  Stokes-Einstein relation in supercooled aqueous solutions of glycerol. , 2006, Physical review letters.

[41]  H. Stanley,et al.  Relationship between the liquid–liquid phase transition and dynamic behaviour in the Jagla model , 2006, cond-mat/0604022.

[42]  H. Stanley,et al.  Thermodynamic and dynamic anomalies for dumbbell molecules interacting with a repulsive ramplike potential. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[43]  H. Stanley,et al.  Glass transition in biomolecules and the liquid-liquid critical point of water. , 2006, Physical review letters.

[44]  P. Harrowell,et al.  Predicting the long-time dynamic heterogeneity in a supercooled liquid on the basis of short-time heterogeneities. , 2005, Physical review letters.

[45]  T. Keyes,et al.  On the breakdown of the Stokes-Einstein law in supercooled liquids. , 2005, The journal of physical chemistry. B.

[46]  G. Zou,et al.  High pressure-temperature Brillouin study of liquid water: evidence of the structural transition from low-density water to high-density water. , 2005, The Journal of chemical physics.

[47]  E. Mamontov,et al.  Observation of fragile-to-strong liquid transition in surface water in CeO2. , 2005, The Journal of chemical physics.

[48]  H. Stanley,et al.  Molecular dynamics study of orientational cooperativity in water. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[49]  H. Stanley,et al.  Relation between the Widom line and the dynamic crossover in systems with a liquid-liquid phase transition. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[50]  H. Stanley,et al.  Structural order for one-scale and two-scale potentials. , 2005, Physical review letters.

[51]  A. Faraone,et al.  Pressure dependence of fragile-to-strong transition and a possible second critical point in supercooled confined water. , 2005, Physical review letters.

[52]  J. Douglas,et al.  Nature of the breakdown in the Stokes-Einstein relationship in a hard sphere fluid. , 2005, The Journal of chemical physics.

[53]  H. Stanley,et al.  Relation between rotational and translational dynamic heterogeneities in water. , 2005, Physical review letters.

[54]  P. Wolynes,et al.  The shapes of cooperatively rearranging regions in glass-forming liquids , 2005, cond-mat/0507543.

[55]  S. Glotzer,et al.  Spatially heterogeneous dynamics and the Adam-Gibbs relation in the Dzugutov liquid. , 2005, The journal of physical chemistry. B.

[56]  H. Stanley,et al.  Clusters of mobile molecules in supercooled water. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[57]  H. Stanley,et al.  Thermodynamics, structure, and dynamics of water confined between hydrophobic plates. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[58]  S. H. Chen,et al.  Experimental evidence of a liquid-liquid transition in interfacial water , 2005 .

[59]  Ralf Ludwig,et al.  Wasser: Anomalien und Rätsel , 2005 .

[60]  H. Stanley.  Correlated randomness: Some examples of exotic statistical physics , 2005 .

[61]  Peter H. Poole,et al.  Density minimum and liquid–liquid phase transition , 2005, cond-mat/0504574.

[62]  A. Geiger,et al.  Liquid-liquid phase transitions in supercooled water studied by computer simulations of various water models. , 2005, The Journal of chemical physics.

[63]  Sergey V. Buldyrev,et al.  Static and dynamic heterogeneities in water , 2005, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[64]  Peter Glarborg,et al.  Two‐Dimensional Systems , 2005 .

[65]  H. Stanley,et al.  Liquid-liquid phase transition for an attractive isotropic potential with wide repulsive range. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[66]  A. Faraone,et al.  Fragile-to-strong liquid transition in deeply supercooled confined water. , 2004, The Journal of chemical physics.

[67]  D. Paschek.  How the liquid-liquid transition affects hydrophobic hydration in deeply supercooled water. , 2004, Physical review letters.

[68]  J. P. Garrahan,et al.  Heterogeneity and growing length scales in the dynamics of kinetically constrained lattice gases in two dimensions. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[69]  H. Stanley,et al.  Static heterogeneities in liquid water , 2004 .

[70]  Peter Harrowell,et al.  How reproducible are dynamic heterogeneities in a supercooled liquid? , 2004, Physical review letters.

[71]  J. P. Garrahan,et al.  Length scale for the onset of Fickian diffusion in supercooled liquids , 2004, cond-mat/0409428.

[72]  V. Dimitrov.  Breakdown of the Stokes-Einstein Relation in Supercooled Liquids , 2004 .

[73]  H. Dosch,et al.  Interfacial melting of ice in contact with SiO(2). , 2004, Physical review letters.

[74]  Sergey V. Buldyrev,et al.  Dynamic Heterogeneities in Supercooled Water , 2004 .

[75]  M D Ediger,et al.  Spatially heterogeneous dynamics in supercooled liquids. , 2003, Annual review of physical chemistry.

[76]  J. P. Garrahan,et al.  Excitation lines and the breakdown of Stokes-Einstein relations in supercooled liquids. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[77]  Srikanth Sastry,et al.  Liquid–liquid phase transition in supercooled silicon , 2003, Nature materials.

[78]  F. Sciortino,et al.  Physics of the liquid-liquid critical point. , 2003, Physical review letters.

[79]  H. Stanley,et al.  Liquid-liquid phase transitions for soft-core attractive potentials. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[80]  G. Petsko,et al.  The 'glass transition' in protein dynamics: what it is, why it occurs, and how to exploit it. , 2003, Biophysical chemistry.

[81]  Jeremy C. Smith,et al.  Translational hydration water dynamics drives the protein glass transition. , 2003, Biophysical journal.

[82]  F. Müller-Plathe,et al.  The breakdown of the Stokes-Einstein relation in supercooled binary liquids , 2003 .

[83]  Ronen Zangi,et al.  Bilayer ice and alternate liquid phases of confined water , 2003 .

[84]  M. Mezouar,et al.  Nature of the first-order phase transition in fluid phosphorus at high temperature and pressure. , 2003, Physical review letters.

[85]  Pablo G. Debenedetti,et al.  Supercooled and glassy water , 2003 .

[86]  Alfons Geiger,et al.  Multiple liquid–liquid transitions in supercooled water , 2003 .

[87]  H. Stanley,et al.  A system with multiple liquid–liquid critical points , 2003, cond-mat/0305188.

[88]  R. McMahon,et al.  Self-diffusion of tris-naphthylbenzene near the glass transition temperature. , 2003, Physical review letters.

[89]  H. E. Stanley,et al.  Relation between Structural and Dynamical Anomalies in Supercooled Water | NIST , 2002 .

[90]  H. Stanley,et al.  Connection between Adam-Gibbs theory and spatially heterogeneous dynamics. , 2002, Physical review letters.

[91]  H. Stanley,et al.  Equation of state of supercooled water from the sedimentation profile. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[92]  S. Glotzer,et al.  Growing correlation length on cooling below the onset of caging in a simulated glass-forming liquid. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[93]  S. Torquato,et al.  Cooperative origin of low-density domains in liquid water. , 2002, Physical review letters.

[94]  D. Tobias,et al.  Role of protein-water hydrogen bond dynamics in the protein dynamical transition. , 2002, Physical review letters.

[95]  H. Stanley,et al.  Liquid-liquid phase transition in one-component fluids , 2002 .

[96]  H. Stanley,et al.  Liquid-liquid critical point in a Hamiltonian model for water: analytic solution , 2002 .

[97]  H. Stanley,et al.  Interplay between time-temperature transformation and the liquid-liquid phase transition in water. , 2002, Physical review letters.

[98]  H. Stanley,et al.  Models for a liquid-liquid phase transition , 2002 .

[99]  A. Soper,et al.  Jumping between water polymorphs , 2002 .

[100]  S. Kojima,et al.  Bifurcation of translational and rotational non-Gaussian behaviors in two-dimensional liquid , 2002 .

[101]  H. Stanley,et al.  Translational and rotational diffusion in stretched water , 2002, cond-mat/0201138.

[102]  H. Eugene Stanley,et al.  Intramolecular coupling as a mechanism for a liquid-liquid phase transition. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[103]  H. Stanley,et al.  Metastable liquid-liquid phase transition in a single-component system with only one crystal phase and no density anomaly. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[104]  M. Dzugutov,et al.  Decoupling of diffusion from structural relaxation and spatial heterogeneity in a supercooled simple liquid. , 2001, Physical review letters.

[105]  Andrew L. Lee,et al.  Microscopic origins of entropy, heat capacity and the glass transition in proteins , 2001, Nature.

[106]  Ralf Ludwig,et al.  Water: From Clusters to the Bulk. , 2001, Angewandte Chemie.

[107]  Peter H. Poole,et al.  Fragile-to-strong transition and polyamorphism in the energy landscape of liquid silica , 2001, Nature.

[108]  D. V. Vanden Bout,et al.  Single-Molecule Studies of Heterogeneous Dynamics in Polymer Melts Near the Glass Transition , 2001, Science.

[109]  H. Eugene Stanley,et al.  Static and dynamic properties of stretched water , 2001, cond-mat/0102196.

[110]  H. Stanley,et al.  Generic mechanism for generating a liquid–liquid phase transition , 2001, Nature.

[111]  Pablo G. Debenedetti,et al.  Relationship between structural order and the anomalies of liquid water , 2001, Nature.

[112]  H. Stanley,et al.  Waterlike anomalies for core-softened models of fluids: two-dimensional systems. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[113]  S. Glotzer.  Spatially heterogeneous dynamics in liquids: insights from simulation , 2000 .

[114]  Starr,et al.  Free energy surface of supercooled water , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[115]  Mishima,et al.  Liquid-liquid critical point in heavy water , 2000, Physical review letters.

[116]  D. Lacks,et al.  First-order amorphous-amorphous transformation in silica , 2000, Physical review letters.

[117]  Ricci,et al.  Structures of high-density and low-density water , 2000, Physical review letters.

[118]  H. Stanley,et al.  Water-like anomalies for core-softened models of fluids , 2000 .

[119]  H. Stanley,et al.  Unsolved mysteries of water in its liquid and glassy phases , 2000 .

[120]  Schofield,et al.  Three-dimensional direct imaging of structural relaxation near the colloidal glass transition , 2000, Science.

[121]  Osamu Shimomura,et al.  A first-order liquid–liquid phase transition in phosphorus , 2000, Nature.

[122]  H. Stanley,et al.  Applications of the Stell–Hemmer Potential to Understanding Second Critical Points in Real Systems , 1999, cond-mat/9911249.

[123]  K. Ngai.  Alternative Explanation of the Difference between Translational Diffusion and Rotational Diffusion in Supercooled Liquids , 1999 .

[124]  W. Kob.  Supercooled Liquids and Glasses , 1999, cond-mat/9911023.

[125]  P. Harrowell,et al.  Relaxation dynamics and their spatial distribution in a two-dimensional glass-forming mixture , 1999 .

[126]  H. Stanley,et al.  Waterlike anomalies for core-softened models of fluids: one dimension. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[127]  H. Eugene Stanley,et al.  Liquid−Liquid Phase Transition in Confined Water: A Monte Carlo Study‡ , 1999 .

[128]  J. Glosli,et al.  LIQUID-LIQUID PHASE TRANSFORMATION IN CARBON , 1999 .

[129]  E. Jagla.  CORE-SOFTENED POTENTIALS AND THE ANOMALOUS PROPERTIES OF WATER , 1999, cond-mat/9905375.

[130]  A. Sokolov,et al.  Glassy dynamics in DNA: Ruled by water of hydration? , 1999 .

[131]  H. Stanley,et al.  Scaling, Universality, and Renormalization: Three Pillars of Modern Critical Phenomena , 1999 .

[132]  A. Heuer,et al.  Dynamic heterogeneities of translational and rotational motion of a molecular glass former from computer simulations , 1999 .

[133]  H. Sillescu.  Heterogeneity at the glass transition: a review , 1999 .

[134]  S. Glotzer,et al.  Growing Spatial Correlations of Particle Displacements in a Simulated Liquid on Cooling toward the Glass Transition , 1998, cond-mat/9811145.

[135]  H. Stanley,et al.  Fast and Slow Dynamics of Hydrogen Bonds in Liquid Water , 1998, cond-mat/9811120.

[136]  H. Stanley,et al.  The relationship between liquid, supercooled and glassy water , 1998, Nature.

[137]  A. Heuer,et al.  Length Scale of Dynamic Heterogeneities at the Glass Transition Determined by Multidimensional Nuclear Magnetic Resonance , 1998 .

[138]  Shlomo Havlin,et al.  Local Structural Heterogeneities in Liquid Water under Pressure , 1998 .

[139]  J. Douglas,et al.  Obstruction model of the fractional Stokes Einstein relation in glass-forming liquids , 1998 .

[140]  Sastry,et al.  Singularity-free interpretation of the thermodynamics of supercooled water. , 1998, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[141]  H. Stanley,et al.  Liquid-State Anomalies and the Stell-Hemmer Core-Softened Potential , 1998, cond-mat/9806091.

[142]  Masaki Sasai,et al.  Molecular scale precursor of the liquid–liquid phase transition of water , 1998 .

[143]  Steven J. Plimpton,et al.  STRINGLIKE COOPERATIVE MOTION IN A SUPERCOOLED LIQUID , 1998 .

[144]  H. Eugene Stanley,et al.  Decompression-induced melting of ice IV and the liquid–liquid transition in water , 1998, Nature.

[145]  France,et al.  Is there a liquid-liquid phase transition in supercooled water? , 1998, cond-mat/9803040.

[146]  H. Sillescu,et al.  Heterogeneity at the Glass Transition: Translational and Rotational Self-Diffusion , 1997 .

[147]  M. Togaya.  Pressure Dependences of the Melting Temperature of Graphite and the Electrical Resistivity of Liquid Carbon , 1997 .

[148]  H. Eugene Stanley,et al.  Liquid-Liquid Phase Transition: Evidence from Simulations , 1997 .

[149]  H. Stanley,et al.  Cooperative molecular motions in water: The liquid-liquid critical point hypothesis , 1997 .

[150]  R. N. Voloshin,et al.  High-pressure transformations in simple melts , 1997 .

[151]  Roberts,et al.  Liquid-Liquid Immiscibility in Pure Fluids: Polyamorphism in Simulations of a Network-Forming Fluid. , 1996, Physical review letters.

[152]  Tsang,et al.  Relaxation in interacting arrays of oscillators. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[153]  Hideki Tanaka,et al.  Phase behaviors of supercooled water: Reconciling a critical point of amorphous ices with spinodal instability , 1996 .

[154]  L. Nilsson,et al.  Glass transition in DNA from molecular dynamics simulations. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[155]  Srikanth Sastry,et al.  SINGULARITY-FREE INTERPRETATION OF THE THERMODYNAMICS OF SUPERCOOLED WATER , 1996 .

[156]  Hideki Tanaka,et al.  A self-consistent phase diagram for supercooled water , 1996, Nature.

[157]  G. Tarjus,et al.  BREAKDOWN OF THE STOKES-EINSTEIN RELATION IN SUPERCOOLED LIQUIDS , 1995 .

[158]  Stillinger,et al.  Translation-rotation paradox for diffusion in fragile glass-forming liquids. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[159]  Stanley,et al.  Phase diagram for amorphous solid water. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[160]  Stanley,et al.  Spinodal of liquid water. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[161]  Ree,et al.  High-pressure liquid-liquid phase change in carbon. , 1993, Physical review. B, Condensed matter.

[162]  H. Eugene Stanley,et al.  Phase behaviour of metastable water , 1992, Nature.

[163]  G. Petsko,et al.  Crystalline ribonuclease A loses function below the dynamical transition at 220 K , 1992, Nature.

[164]  Fischer,et al.  Temperature dependence of characteristic length for glass transition. , 1992, Physical review letters.

[165]  H. Eugene Stanley,et al.  Network defects and molecular mobility in liquid water , 1992 .

[166]  H. Eugene Stanley,et al.  Effect of defects on molecular mobility in liquid water , 1991, Nature.

[167]  Stanley,et al.  Isochoric differential scattering functions in liquid water: The fifth neighbor as a network defect. , 1990, Physical review letters.

[168]  Rössler,et al.  Indications for a change of diffusion mechanism in supercooled liquids. , 1990, Physical review letters.

[169]  Wolfgang Doster,et al.  Dynamical transition of myoglobin revealed by inelastic neutron scattering , 1989, Nature.

[170]  W. G. Hoover.  molecular dynamics , 1986, Catalysis from A to Z.

[171]  H. Stanley,et al.  STRUCTURE AND DYNAMICS OF THE HYDROGEN BOND NETWORK IN WATER BY COMPUTER SIMULATIONS , 1984 .

[172]  H. Stanley,et al.  THE "LOCALLY-STRUCTURED TRANSIENT GEL" MODEL OF WATER STRUCTURE , 1984 .

[173]  H. Eugene Stanley,et al.  Connectivity of hydrogen bonds in liquid water , 1984 .

[174]  H. Stanley,et al.  Gelation models of hydrogen bond networks in liquid water , 1983 .

[175]  P. Douzou,et al.  Water: A comprehensive treatise , 1983 .

[176]  H. Stanley,et al.  Tests of Universality of Percolation Exponents for a Three-Dimensional Continuum System of Interacting Waterlike Particles , 1982 .

[177]  H. Eugene Stanley,et al.  Low-Density "Patches" in the Hydrogen-Bond Network of Liquid Water: Evidence from Molecular-Dynamics Computer Simulations , 1982 .

[178]  G. Petsko,et al.  Conformational substates in a protein: structure and dynamics of metmyoglobin at 80 K. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[179]  H. Stanley,et al.  Interpretation of the unusual behavior of H2O and D2O at low temperature: Are concepts of percolation relevant to the “puzzle of liquid water”? , 1981 .

[180]  H. Eugene Stanley,et al.  Interpretation of the unusual behavior of H2O and D2O at low temperatures: Tests of a percolation model , 1980 .

[181]  H. Stanley,et al.  A polychromatic correlated-site percolation problem with possible relevance to the unusual behaviour of supercooled H2O and D2O , 1979 .

[182]  M. Anisimov,et al.  Specific Heat of Water Near the Melting Point and Ornstein-Zernike Fluctuation Corrections , 1972 .

[183]  A. Voronel.  Thermodynamic Quantities near the Crystallization Points of Liquids , 1971 .

[184]  G. Adam,et al.  On the Temperature Dependence of Cooperative Relaxation Properties in Glass‐Forming Liquids , 1965 .

[185]  H. Stanley,et al.  Two dynamic crossovers in protein hydration water and their thermodynamic interpretation , 2009 .

[186]  S. H. Chen,et al.  Relation between the Widom line and the dynamic crossover in bulk water and in protein hydration water , 2006 .

[187]  Ronen Zangi,et al.  Water confined to a slab geometry: a review of recent computer simulation studies , 2004 .

[188]  C. Angell,et al.  Amorphous water. , 2004, Annual review of physical chemistry.

[189]  J. C. Tucker,et al.  Water and its anomalies in perspective: Tetrahedral liquids with and without liquid-liquid phase transitions , 2000 .

[190]  Dagmar Ringe,et al.  Solvent mobility and the protein 'glass' transition , 2000, Nature Structural Biology.

[191]  P. Austin,et al.  A new analytic equation of state for liquid water , 1999 .

[192]  M. Bellissent-Funel,et al.  Hydration processes in biology : theoretical and experimental approaches , 1999 .

[193]  A. Gottlob,et al.  Monte-Carlo study , 1998 .

[194]  Peter H. Poole,et al.  Line of compressibility maxima in the phase diagram of supercooled water , 1997 .

[195]  H. Stanley,et al.  The Liquid-Liquid Critical-Point Hypothesis , 1997 .

[196]  C. Angell,et al.  Comparison of thermodynamic properties of simulated liquid silica and water , 1997 .

[197]  P. McMillan,et al.  Density-driven liquid–liquid phase separation in the system AI2O3–Y2O3 , 1994, Nature.

[198]  Robert C. Wolpert,et al.  A Review of the , 1985 .

[199]  G. Roberts,et al.  Speed Up Zig-Zag , 2021, 2103.16620.