Entropy, disorder, melting

The connection of geometric or spatial disorder and entropy is examined. The formulation of the problem of the entropy of a geometrically disordered system is asserted to make no sense if one does not stipulate the method of ``preparing'' it. The nonergodicity of geometrically disordered systems and the conditionality of their thermodynamic analysis are stressed. The relative constancy of the entropy of melting of simple classical substances is explained by the weak dependence of the entropy of a simple liquid on the number of particles involved in collective motion and collectively utilizing the accessible space. Certain features of quantum and low-dimensional systems are discussed.

PACS: 65.60.+a, 65.20.+w, 64.70.Dv, 64.60.Cn (all)
DOI: 10.1070/PU1988v031n01ABEH002535
URL: https://ufn.ru/en/articles/1988/1/d/
Citation: Stishov S M "Entropy, disorder, melting" Sov. Phys. Usp. 31 52–67 (1988)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Стишов С М «Энтропия, беспорядок, плавление» УФН 154 93–122 (1988); DOI: 10.3367/UFNr.0154.198801c.0093

References (95) Cited by (40) Similar articles (20) ↓

S.M. Stishov “The thermodynamics of melting of simple substances” Sov. Phys. Usp. 17 625–643 (1975)
V.N. Ryzhov, E.E. Tareyeva et al “Berezinskii—Kosterlitz—Thouless transition and two-dimensional melting” Phys. Usp. 60 857–885 (2017)
V.N. Ryzhov, E.E. Tareyeva et al “Complex phase diagrams of systems with isotropic potentials: results of computer simulations” Phys. Usp. 63 417–439 (2020)
S.M. Stishov “Melting at high pressures” Sov. Phys. Usp. 11 816–830 (1969)
R.S. Berry, B.M. Smirnov “Phase transitions and adjacent phenomena in simple atomic systems” Phys. Usp. 48 345–388 (2005)
M.I. Klinger “Low-temperature properties and localized electronic states of glasses” Sov. Phys. Usp. 30 699–715 (1987)
V.V. Brazhkin, A.G. Lyapin et al “Where is the supercritical fluid on the phase diagram?” Phys. Usp. 55 1061–1079 (2012)
T.V. Tropin, Ju.W.P. Schmelzer, V.L. Aksenov “Modern aspects of the kinetic theory of glass transition” Phys. Usp. 59 42–66 (2016)
B.M. Smirnov “Melting of clusters with pair interaction of atoms” Phys. Usp. 37 1079–1096 (1994)
B.A. Klumov “Universal structural properties of three-dimensional and two-dimensional melts” Phys. Usp. 66 288–311 (2023)
V.V. Prudnikov, P.V. Prudnikov, M.V. Mamonova “Nonequilibrium critical behavior of model statistical systems and methods for the description of its features” Phys. Usp. 60 762–797 (2017)
S.V. Lebedev, A.I. Savvatimskii “Metals during rapid heating by dense currents” Sov. Phys. Usp. 27 749–771 (1984)
B.M. Smirnov “Scaling method in atomic and molecular physics” Phys. Usp. 44 1229–1253 (2001)
S.M. Stishov “Quantum effects in condensed matter at high pressure” Phys. Usp. 44 285–290 (2001)
V.N. Tsytovich “Self-organized dusty structures in a complex plasma under microgravity conditions: prospects for experimental and theoretical studies” Phys. Usp. 58 150–166 (2015)
A.I. Olemskoi, I.V. Koplyk “The theory of spatiotemporal evolution of nonequilibrium thermodynamic systems” Phys. Usp. 38 1061–1097 (1995)
V.M. Rozenbaum, V.M. Ogenko, A.A. Chuiko “Vibrational and orientational states of surface atomic groups” Sov. Phys. Usp. 34 (10) 883–902 (1991)
V.E. Fortov, A.G. Khrapak et al “Dusty plasmas” Phys. Usp. 47 447–492 (2004)
E.L. Nagaev “Small metal particles” Sov. Phys. Usp. 35 (9) 747–782 (1992)
I.V. Kukushkin, V.B. Timofeev “Magneto-optics of two-dimensional electron systems in the ultraquantum limit: incompressible quantum liquids and the Wigner crystal” Phys. Usp. 36 (7) 549–571 (1993)

The list is formed automatically.