There is a lot of works on hard-sphere glasses where the spheres or other particles are squeezed and fail to find the global energy minimum being jammed in amorphous state. Is it possible to form a water glass by (perhaps, quickly) compressing water to very high density?
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1This answer is related: https://physics.stackexchange.com/a/381615/170832 – Rob Nov 15 '20 at 23:13
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Yes, water can form a "glassy" solid states, called amorphous ice.
Depending on conditions and formation process it can have quite different properties. In particular it is not necessary for it to be compressed to very high density: it is actually possible to obtain amorphous ice that is less dense than liquid water, by vapour deposition (see Wiki). High-density forms also exist.
All known forms of amorphous ice are found at relatively low temperature (~100-160K). Therefore it is not found on earth outside laboratories, but it is quite common in space, in particular in the interstellar medium.

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