Abstract
Crystals of solid helium in their melt exhibit a phenomenon generally not found in other materials: oscillations of the solid-liquid interface in which atoms of the solid move only when they melt and enter the liquid. Such melting-freezing waves were predicted by Andreev & Parshin [AP] in 1978 and exhibited experimentally1 by Keshishev, Parshin, & Babkin [KPB] in 1979.
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References
Angenent, S., & M. E. Gurtin, Multiphase thermomechanics with interfacial structure. 2. Evolution of an isothermal interface. Arch. Rational Mech. Anal. 108, 323–391 (1989).
Andreev, A. F., & A. Y. Parshin, Equilibrium shape and oscillations of the surface of quantum crystals, Sov. Phys. JETP 48, 763–766 (1978).
Castaing, B., Balibar, S., & C. Laroche, Mobilité à 1 MHz du font de fusion de 4He, J. Physique 41, 897–903 (1980).
Cahn, J. W., & D. W. Hoffmann, A vector thermodynamics for anisotropic surfaces. 2. Curved and faceted surfaces, Act. Metall. 22, 1205–1214 (1974).
Coleman, B. D., & W. Noll, The thermodynamics of elastic materials with heat conduction and viscosity, Arch. Rational Mech. Anal. 13, 167–178 (1963).
Gjostein, N. A., Adsorption and surface energy. 2. Thermal faceting from minimization of surface energy, Act. Metall. 11, 969–978 (1963).
Gurtin, M. E., Multiphase thermomechanics with interfacial structure. 1. Heat conduction and the capillary balance law, Arch. Rational Mech. Anal. 104 195–221 (1988).
Gurtin, M. E., On the two-phase Stefan problem with interfacial energy and entropy, Arch. Rational Mech. Anal. 96, 199–241 (1986).
Gurtin, M. E., Toward a nonequilibrium thermodynamics of two phase materials, Arch. Rational Mech. Anal. 100, 275–312 (1988).
Gurtin, M. E.. An Introduction to Continuum Mechanics, Academic Press (1981).
Gurtin, M. E., & P. Podio Guidugli, A hyperbolic theory for the evolution of plane curves, Forthcoming.
Gurtin, M. E., & A. Struthers, Multiphase thermomechanics with interfacial structure. 3. Evolving phase boundaries in the presence of bulk deformation, Arch. Rational Mech. Anal. Forthcoming.
Keshishev, K. O., Parshin, A. Y., & A. V. Babkin, Experimental detection of crystallization waves in He4, JETP Lett. 30, 56–59 (1979).
Maris, J. H., & A. F. Andreev, The surface of crystalline helium 4, Phys. Today, 25–30 (Feb. 1987).
Rogers, R. C., Notes on a linear model of mechanical phase transitions, Forthcoming.
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Dedicated to Bernard Coleman on his sixtieth birthday
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© 1991 Springer-Verlag Berlin Heidelberg
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Gurtin, M.E. (1991). A Mechanical Theory for Crystallization of a Rigid Solid in a Liquid Melt; Melting-Freezing Waves. In: Markovitz, H., Mizel, V.J., Owen, D.R. (eds) Mechanics and Thermodynamics of Continua. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75975-8_23
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DOI: https://doi.org/10.1007/978-3-642-75975-8_23
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