Thermodynamic metric geometry of the two-state ST2 model for supercooled water

2019 ◽  
Vol 151 (6) ◽  
pp. 064503 ◽  
Author(s):  
Peter Mausbach ◽  
Helge-Otmar May ◽  
George Ruppeiner
Keyword(s):  
Supercooled Water ◽  
Metric Geometry

Single particle dynamics of supercooled water and the kinetic glass transition

1998 ◽  
Vol 08 (PR6) ◽  
pp. Pr6-109-Pr6-113
Author(s):  
P. Gallo ◽  
F. Sciortino ◽  
P. Tartaglia ◽  
S.-H. Chen
Keyword(s):  
Glass Transition ◽  
Single Particle ◽  
Supercooled Water ◽  
Particle Dynamics

Teichmuller Geometry

2017 ◽  
Author(s):  
Benson Farb ◽  
Dan Margalit
Keyword(s):  
Uniqueness Theorem ◽  
Existence Theorems ◽  
Quadratic Differentials ◽  
Complex Structures ◽  
Metric Geometry ◽  
Quasiconformal Maps ◽  
Hyperbolic Structures ◽  
Teichmüller Metric ◽  
Uniqueness And Existence ◽  
Teichmüller Mapping

This chapter focuses on the metric geometry of Teichmüller space. It first explains how one can think of Teich(Sɡ) as the space of complex structures on Sɡ. To this end, the chapter defines quasiconformal maps between surfaces and presents a solution to the resulting Teichmüller's extremal problem. It also considers the correspondence between complex structures and hyperbolic structures, along with the Teichmüller mapping, Teichmüller metric, and the proof of Teichmüller's uniqueness and existence theorems. The fundamental connection between Teichmüller's theorems, holomorphic quadratic differentials, and measured foliations is discussed as well. Finally, the chapter describes the Grötzsch's problem, whose solution is tied to the proof of Teichmüller's uniqueness theorem.

IMPROVED LUMPED-DIFFERENTIAL ANALYSIS OF THE FREEZING PROCESS IN A SUPERCOOLED WATER DROPLET

2020 ◽  
Author(s):  
Emerson Barbosa dos Anjos ◽  
Carolina Palma Naveira Cotta ◽  
Renato Machado Cotta ◽  
Igor Soares Carvalho ◽  
Manish Tiwari
Keyword(s):  
Water Droplet ◽  
Supercooled Water ◽  
Freezing Process ◽  
Differential Analysis

Possible Anomaly in the Surface Tension of Supercooled Water: New Experiments at Extreme Supercooling down to −31.4 °C

2020 ◽  
Vol 11 (11) ◽  
pp. 4443-4447 ◽  
Author(s):  
Václav Vinš ◽  
Jiří Hykl ◽  
Jan Hrubý ◽  
Aleš Blahut ◽  
David Celný ◽  
...  
Keyword(s):  
Surface Tension ◽  
Supercooled Water

Supercooled Water Drops Do Not Freeze During Impact on Hybrid Janus Particle-Based Surfaces

2018 ◽  
Vol 31 (1) ◽  
pp. 112-123 ◽  
Author(s):  
Madeleine Schwarzer ◽  
Thomas Otto ◽  
Markus Schremb ◽  
Claudia Marschelke ◽  
Hisaschi T. Tee ◽  
...  
Keyword(s):  
Supercooled Water ◽  
Janus Particle ◽  
Water Drops
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