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of transverse excitations is <math> 1 k_B </math>. Therefore at the Frenkel
of transverse excitations is <math> 1 k_B </math>. Therefore at the Frenkel
line, where transverse excitations vanish, the isochoric heat
line, where transverse excitations vanish, the isochoric heat
capacity per particle should be <math> c_V=2 k_B </math>, a direct prediction from the phonon theory of liquid thermodynamics  
capacity per particle should be <math> c_V=2 k_B </math>, a direct prediction from the phonon theory of liquid thermodynamics <ref> [http://www.nature.com/srep/2012/120524/srep00421/full/srep00421.html  D. Bolmatov, V. V. Brazhkin, and K. Trachenko "The phonon theory of liquid thermodynamics", Scientific Reports '''2''' 421 (2012)]</ref>, <ref> [http://www.nature.com/ncomms/2013/130816/ncomms3331/full/ncomms3331.html  Dima Bolmatov, V. V. Brazhkin, and K. Trachenko "Thermodynamic behaviour of supercritical matter", Scientific Reports '''4''' 2331 (2013)]</ref>,  <ref> [http://physicsworld.com/cws/article/news/2012/jun/13/phonon-theory-sheds-light-on-liquid-thermodynamics "Phonon theory sheds light on liquid thermodynamics", PhysicsWorld, 2012]</ref>.
<ref> [http://dx.doi.org/10.1038/srep00421 D. Bolmatov, V. V. Brazhkin, and K. Trachenko "The phonon theory of liquid thermodynamics", Scientific Reports '''2''' 421 (2012)]</ref>  
<ref> [http://physicsworld.com/cws/article/news/2012/jun/13/phonon-theory-sheds-light-on-liquid-thermodynamics Hamish Johnston "Phonon theory sheds light on liquid thermodynamics", PhysicsWorld.com  June 13 (2012)]</ref>
<ref> [http://dx.doi.org/10.1038/ncomms3331 Dima Bolmatov, V. V. Brazhkin, and K. Trachenko "Thermodynamic behaviour of supercritical matter", Nature Communications '''4''' 2331 (2013)]</ref>.


Crossing the Frenkel line leads also to some structural crossovers in fluids  
Crossing the Frenkel line leads also to some structural crossovers in fluids  
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