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1. A. G. Ivanov and S. A. Novikov, “Rarefaction shock waves in iron and steel,” Zh. Eksp. Teor. Fiz. 40, 1880 (1961).
2. P. A. Thompson, G. A. Carofano, and Y. G. Kim, “Shock waves and phase changes in a large-heat-capacity fluid emerging from a tube,” J. Fluid Mech. 166, 57 (1986).
3. W. D. Hayes, in Fundamentals of gasdynamics, High Speed Aerodynamics and Jet Propulsion Vol. 3, edited by H. W. Emmons (Princeton University Press, Princeton, NJ, 1958), pp. 416481.
4. R. Menikoff and B. J. Plohr, “The Riemann problem for fluid flow of real materials,” Rev. Mod. Phys. 61, 75 (1989).
5. A. Chuvatin, A. Ivanov, and L. Rudakov, “Stationary Rarefaction Wave in Magnetized Hall Plasmas,” Phys. Rev. Lett. 92, 095007 (2004).
6. L. Beck, G. Ernst, and J. Gürtner, “Isochoric heat capacity cv of carbon dioxide and sulfur hexafluoride in the critical region,” J. Chem. Thermodyn. 34, 277 (2002).
7. A. Jounet, B. Zappoli, and A. Mojtabi, “Rapid Thermal Relaxation in Near-Critical Fluids and Critical Speeding Up: Discrepancies Caused by Boundary Effects,” Phys. Rev. Lett. 84, 3224 (2000).
8. Y. Chiwata and A. Onuki, “Thermal Plumes and Convection in Highly Compressible Fluids,” Phys. Rev. Lett. 87, 144301 (2001).
9. N. Mujica, R. Wunenburger, and S. Fauve, “Scattering of sound by sound in the vicinity of the liquid-vapor critical point,” Phys. Rev. Lett. 90, 234301 (2003).
10. A. Borisov, A. A. Borisov, S. S. Kutateladze, and V. E. Nakoryakov, “Rarefaction shock wave near the critical liquid–vapour point,” J. Fluid Mech. 126, 59 (1983).
11. A. Kluwick, “Adiabatic Waves in the Neighbourhood of the Critical Point,” in IUTAM Symposium on Waves in Liquid/Gas and Liquid/Vapour Two-Phase Systems, edited by S. Morioka and L. van Wijngaarden (Kluwer Academic Publishers, 1995), Vol. 31, pp. 387404.
12. G. Emanuel, “The fundamental derivative of gas dynamics in the vicinity of the critical point,” Technical Report, AME Report 96-1, University of Oklahoma, 1996.
13. D. S. Kurumov, G. A. Olchowy, and J. V. Sengers, “Thermodynamic properties of methane in the critical region,” Int. J. Thermophys. 9, 73 (1988).
14. J. M. H. Levelt-Sengers, G. Morrison, and R. F. Chang, “Critical behavior in fluids and fluid mixtures,” Fluid Phase Equilib. 14, 19 (1983).
15. F. W. Balfour, J. V. Sengers, M. R. Moldover, and J. M. H. Levelt-Sengers, “Universality, revisions of and corrections to scaling in fluids,” Phys. Lett. A 65, 223 (1978).
16. N. R. Nannan, A. Guardone, and P. Colonna, “On the fundamental derivative of gas dynamics in the vapor-liquid critical region of single-component typical fluids,” Fluid Phase Equilib. 337, 259 (2013).
17. O. Oleinik, “Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation,” Uspehi Mat. Nauk. 14, 165 (1959).
18. P. D. Lax, Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves (Society for Industrial and Applied Mathematics, Philadelphia, PA, 1973).
19. C. Zamfirescu, A. Guardone, and P. Colonna, “Admissibility region for rarefaction shock waves in dense gases,” J. Fluid Mech. 599, 363 (2008).
20. A. Kluwick, “Theory of shock waves. Rarefaction shocks,” in Handbook of Shockwaves, edited by G. Ben-Dor, O. Igra, T. Elperin, and A. Lifshitz (Academic Press, San Diego, CA, 2001), Vol. 1, Chap. 3.4, pp. 339411.
21. Y. B. Zel'dovich and Y. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (Academic Press, New York, NY, 1966).
22. A. Guardone, C. Zamfirescu, and P. Colonna, “Maximum intensity of rarefaction shock waves for dense gases,” J. Fluid Mech. 642, 127 (2010).
23. P. Carlès, “Thermoacoustic waves near the liquid-vapor critical point,” Phys. Fluids 18, 126102 (2006).
24. H. Chimowitz, Introduction to Critical Phenomena in Fluids, Topics in Chemical Engineering (Oxford University Press, New York, 2005), p. 368.

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From first-principle fluid dynamics, complemented by a rigorous state equation accounting for critical anomalies, we discovered that expansion shock waves may occur in the vicinity of the liquid-vapor critical point in the two-phase region. Due to universality of near-critical thermodynamics, the result is valid for any common pure fluid in which molecular interactions are only short-range, namely, for so-called 3-dimensional Ising-like systems, and under the assumption of thermodynamic equilibrium. In addition to rarefaction shock waves, diverse non-classical effects are admissible, including composite compressive shock-fan-shock waves, due to the change of sign of the fundamental derivative of gasdynamics.


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