# Dislocation-mediated melting near isostructural critical points.

@article{Chou1996DislocationmediatedMN, title={Dislocation-mediated melting near isostructural critical points.}, author={Chou and Nelson}, journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics}, year={1996}, volume={53 3}, pages={ 2560-2570 } }

We study the interplay between an isostructural critical point and dislocation-mediated two-dimensional melting, using a combination of Landau and continuum elasticity theory. If dislocations are excluded, coupling to the elastic degrees of freedom leads to mean-field critical exponents. When dislocations are allowed, modified elastic constants lead to a phase buried in the solid state near the critical point. Consistent with a proposal of Bladon and Frenkel, we find an intervening hexatic…

## 21 Citations

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## References

SHOWING 1-10 OF 13 REFERENCES

Lectures On Phase Transitions And The Renormalization Group

- Mathematics
- 1972

Introduction * Scaling and Dimensional Analysis * Power Laws in Statistical Physics * Some Important Questions * Historical Development * Exercises How Phase Transitions Occur In Principle * Review…

Theory of elasticity

- Materials Science, Mathematics
- 1934

This book is designed for use by students and teachers in the field of applied mechanics and mathematics, and for practitioners in civil and mechanical engineering. Since tensor calculus is an…

"J."

- 1890

however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)…

Phys

- Rev. Lett. 74, 2519
- 1995

Phys

- Rev. E 51, 558
- 1995

Phys

- Rev. B 51, 8789
- 1995

Phys

- 101, 4093
- 1994

Science 263

- 207
- 1994

Vroege, in Fundamen tal Problems in Satistical Mechanics VIII

- Proceedings of the 1993 Altenberg Summer School (North-Holland, Amsterdam,
- 1994

and D

- Frenkel, Phys. Rev. E 50, 4880
- 1994