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In most of liquids, densities increase as temperature decreases. However, the densities of water and water-like liquids, such as silicon and germanium, are anomalous, which increase as temperature increases. Such substances also show other anomalous behaviors, such as diffusivity anomalies (diffusivities increase as density increases), and thermodynamic anomalies (the fluctuations increase as temperature decreases). The chemical properties of these materials are very different from each other, but they all share similar physical properties. Further studies indicate that most of them have two distinct liquid states, i.e., a low-density liquid and a high-density liquid, and a first order liquid-liquid phase transition (LLPT) between these two liquids. We mainly discuss the anomalous properties of materials each of which has a predicted LLPT and their relations with anomalous behaviors (thermodynamic, dynamic and structural) as those of water and water-like liquids, such as hydrogen and gallium. In particular, we discuss the supercritical phenomenon of the liquid-liquid phase transition of hydrogen, as well as the liquid-liquid phase transition of gallium and its relation with the thermodynamic, dynamic, and structural anomalies. It is found that the liquid hydrogen and gallium both have the LLPT and share similar anomalous behaviors as water and water-like liquids, such as density anomaly, dynamics anomaly, thermodynamic anomaly Since the chemical properties of these materials are very different from those of others having the LLPT, the anomalous behaviors may be common features for substances predicted to have the LLPT.
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Keywords:
- liquid-liquid phase transition /
- supercritical phenomenon /
- anomalous behaviors /
- Widom line
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[53] Comez L, Cicco A Di, Itie J P, Polian A 2001 Phys. Rev. B 65 853
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[1] Speedy R J, Angell C A 1976 J. Chem. Phys. 65 851
[2] Angel C A, Shuppert J, Tucker J C 1973 J. Phys. Chem. 77 3092
[3] Debenedetti P G 2003 J. Phys. Condens. Matter 15 R1669
[4] Angell C A, Sichina W J, Oguni M 1981 Tech. Report
[5] Angell C A 2004 Annu. Rev. Phys. Chem. 55 559
[6] Kumar P, Stanley H E 2011 J. Phys. Chem. B 115 14269
[7] Sato H, Watanabe K, Levelt Sengers J M H, Gallagher J S, Hill P G, Straub J, Wagner W 1991 J. Phys. Chem. Ref. data 20 1023
[8] Conde O, Teixeira J, Papon P 1982 J. Chem. Phys. 76 3747
[9] Kanno H, Angell C A 1979 J. Chem. Phys. 70 4008
[10] Errington J R, Debenedetti P G 2001 Nature 409 318
[11] Ball P 2008 Nature 452 291
[12] Sastry S, Debenedetti P G, Sciortino F, Stanley H E 1996 Phys. Rev. E 53 6144
[13] Angell C A 2008 Science 319 582
[14] Poole P H, Sciortino F, Essmann U, Stanley H E 1992 Nature 360 324
[15] Sastry S, Angell C A 2003 Nat. Mater. 2 739
[16] Saika-Voivod I, Sciortino F, Poole P H 2000 Phys. Rev. E 63 11202
[17] Morales M A, McMahon J M, Pierleoni C, Ceperley D M 2013 Phys. Rev. Lett. 110 65702
[18] Li R, Chen J, Li X, Wang E, Xu L 2015 New J. Phys. 17
[19] Liu Y, Panagiotopoulos A Z, Debenedetti P G 2009 J. Chem. Phys. 131 9473
[20] Poole P H, Saikavoivod I, Sciortino F 2005 J. Phys. Condens. Matter 17 L431
[21] Harrington S, Poole P H, Sciortino F, Stanley H E 1997 J. Chem. Phys. 107 7443
[22] Yamada M, Mossa S, Stanley H E, Sciortino F 2002 Phys. Rev. Lett. 88 195701
[23] Brovchenko I, Geiger A, Oleinikova A 2005 J. Chem. Phys. 123 44515
[24] Sciortino F, La N E, Tartaglia P 2003 Phys. Rev. Lett. 91 155701
[25] Mishima O, Stanley H E 1998 Nature 392 164
[26] Glosli J N, Ree F H 1999 Phys. Rev. Lett. 82 4659
[27] Mukherjee G D, Boehler R 2007 Phys. Rev. Lett. 99 225701
[28] Boates B, Bonev S A 2009 Phys. Rev. Lett. 102 15701
[29] Morales M A, Pierleoni C, Schwegler E, Ceperley D M 2010 Proc. Natl. Acad. Sci. USA 107 12799
[30] Vasisht V V, Mathew J, Sengupta S, Sastry S 2014 J. Chem. Phys. 141 124501
[31] Vasisht V V, Saw S, Sastry S 2011 Nat. Phys. 7 549
[32] Katayama Y, Mizutani T, Utsumi W, Shimomura O, Yamakata M, Funakoshi K 2000 Nature 403 170
[33] Carvajal Jara D A, Fontana M M, Antonelli A, De K M 2009 J. Chem. Phys. 130 221101
[34] Bhat M, Molinero V, Soignard E, Solomon V, Sastry S, Yarger J, Angell C 2007 Nature 38 787
[35] Brazhkin V V, Popova S V, Voloshin R N 1999 Phys. B: Condens. Matter 265 64
[36] Cadien A, Hu Q Y, Meng Y, Cheng Y Q, Chen M W, Shu J F, Mao H K, Sheng H W 2013 Phys. Rev. Lett. 110 125503
[37] Greaves G N, Wilding M C, Fearn S, Langstaff D, Kargl F, Cox S, Van Q V, Majérus O, Benmore C J, Weber R, Matin C M, Hennet L 2008 Science 322 566
[38] Sheng H W, Liu H Z, Cheng Y Q, Wen J, Lee P L, Luo W K, Shastri S D, Ma E 2007 Nat. Mater. 6 192
[39] Zeng Q S, Ding Y, Mao W L, Yang W, Sinogeikin S V, Shu J, Mao H K, Jiang J Z 2010 Phys. Rev. Lett. 104 105702
[40] Li R, Sun G, Xu L 2016 J. Chem. Phys. 145 54506
[41] Shell M S, Debenedetti P G, Panagiotopoulos A Z 2002 Phys. Rev. E 66 11202
[42] Weir S T, Mitchell A C, Nellis W J 1996 Phys. Rev. Lett. 76 1860
[43] Fortov V E, Ilkaev R I, Arinin V A, Burtzev V V, Golubev V A, Iosilevskiy I L, Khrustalev V V, Mikhailov A L, Mochalov M A, Ternovoi V Y 2007 Phys. Rev. Lett. 99 185001
[44] Delaney K T, Pierleoni C, Ceperley D M 2006 Phys. Rev. Lett. 97 235702
[45] Holst B, Redmer R, Desjarlais M P 2008 Phys. Rev. B 77
[46] Scandolo S 2003 Proc. Natl. Acad. Sci. USA 100 3051
[47] Bonev S A, Militzer B, Galli G 2004 Phys. Rev. B 69 1985
[48] Pierleoni C, Morales M A, Rillo G, Holzmann M, Ceperley D M 2016 Proc. Natl. Acad. Sci. USA 113 4953
[49] Xu L, Kumar P, Buldyrev S V, Chen S H, Poole P H, Sciortino F, Stanley H E 2005 Proc. Natl. Acad. Sci. USA 102 16558
[50] Xu L, Buldyrev S V, Angell C A, Stanley H E 2006 Phys. Rev. E 74 31108
[51] Liu L, Chen S H, Faraone A, Yen C W, Mou C Y 2005 Phys. Rev. Lett. 97 716
[52] Rose M C, Cohen R E 2012 Phys. Rev. Lett. 109 187604
[53] Comez L, Cicco A Di, Itie J P, Polian A 2001 Phys. Rev. B 65 853
[54] Wei S, Oyanagi H, Liu W, Hu T, Yin S, Bian G 2000 J. Non. Cryst. Solids 275 160
[55] Tien C, Charnaya E V, Wang W, Kumzerov Y A, Michel D 2006 Phys. Rev. B 74 24116
[56] Cajahuaringa S, de Koning M, Antonelli A 2012 J. Chem. Phys. 136 64513
[57] Yan Z, Buldyrev S V, Kumar P, Giovambattista N, Debenedetti P G, Stanley H E 2007 Phys. Rev. E 76 51201
[58] Corsetti F, Artacho E, Soler J M, Alexandre S S, Fernandezserra M V 2013 J. Chem. Phys. 139 194502
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