Melting scenarios of two-dimensional Hertzian spheres with a single triangular lattice

Tsiok, E. N.; Gaiduk, E. A.; Fomin, Yu. D.; Рыжов, Валентин Николаевич

doi:10.1039/c9sm02262g

Cited by 18 publications

(10 citation statements)

References 88 publications

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“…Let us try to explain this phenomenon using the example of the behavior of radial distribution functions (RDF) (see Figs. 12 (b) and (c) in our paper [24]) and translational order parameter (TOP) Ψ T (see Fig. 2 in [24]) along isotherm T = 0.003.…”

Section: Resultsmentioning

confidence: 59%

“…12 (b) and (c) in our paper [24]) and translational order parameter (TOP) Ψ T (see Fig. 2 in [24]) along isotherm T = 0.003. From Fig.…”

Section: Resultsmentioning

confidence: 59%

“…It is "wavy"in nature, that is, several maxima and minima occur on the melting line. This result was significantly expanded and revised in the article [24]. In this paper it was confirmed that only one crystal phase, a triangular crystal, was observed in the system, and melting scenarios were calculated for different parts of the melting line of this crystal.…”

Section: Introductionmentioning

confidence: 54%

“…The paper presents a molecular dynamics simulation study of anomalous behavior of a 2D system of Hertzian spheres with exponent α = 7/2. Previously, it has been shown [20,24] that in this system there is only one crystalline phase, a triangular crystal, with several maxima and minima on the melting line. We find water-like density and diffusion anomalies in the liquid phase in the reentrant melting regions.…”

Section: Discussionmentioning

confidence: 90%

“…The phase diagram of the system under consideration was calculated in our previous work [24]. Recall that this phase diagram has a very unusual shape: despite the fact that there is only one crystalline phase, the melting line has a wavy shape with several maxima and minima.…”

Section: Resultsmentioning

confidence: 99%

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Anomalous behavior of two-dimensional Hertzian sphere system

Gaiduk¹,

Fomin²,

Tsiok³

et al. 2021

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The anomalous behavior of a two-dimensional system of Hertzian spheres with exponent α = 7/2 has been studied using the method of molecular dynamics. The phase diagram of this system is the melting line of a triangular crystal with several maxima and minima. Water-like density and diffusion anomalies have been found in the reentrant melting regions. Noteworthy, a density anomaly has been observed not only in the liquid and hexatic but also solid phase. The calculations of the phonon spectra of longitudinal and transverse modes have yielded negative dependence of the frequency of transverse modes on density along all directions in the regions with a density anomaly. This indicates an association of the density anomaly with transverse oscillations of the crystal lattice. The regions of density and diffusion anomalies have been drawn on the phase diagram. It has been found that the stability regions of anomalous diffusion extend to temperatures well above maximum melting point T = 0.0058 of the triangular crystal. From analysis of the translational order parameter, which decreases with increasing density in the reentrant melting regions, the presence of a structural anomaly in the system has been assumed.

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Section: Resultsmentioning

confidence: 59%

“…12 (b) and (c) in our paper [24]) and translational order parameter (TOP) Ψ T (see Fig. 2 in [24]) along isotherm T = 0.003. From Fig.…”

Section: Resultsmentioning

confidence: 59%

Section: Introductionmentioning

confidence: 54%

Section: Discussionmentioning

confidence: 90%

Section: Resultsmentioning

confidence: 99%