Two-step melting of the Weeks-Chandler-Anderson system in two dimensions.

  title={Two-step melting of the Weeks-Chandler-Anderson system in two dimensions.},
  author={Shubhendu Shekhar Khali and Dipanjan Chakraborty and Debasish Chaudhuri},
  journal={Soft matter},
We present a detailed numerical simulation study of a two-dimensional system of particles interacting via the Weeks-Chandler-Anderson potential, the repulsive part of the Lennard-Jones potential. With the reduction of density, the system shows a two-step melting: a continuous melting of solid to hexatic phase, followed by a first-order melting of hexatic to liquid. The solid-hexatic melting is consistent with the Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young (BKTHNY) scenario and shows… Expand
2 Citations
The role of attraction in the phase diagrams and melting scenarios of generalized 2D Lennard-Jones systems
generalized 2D Lennard-Jones systems Elena N. Tsiok, Yuri D. Fomin, 2 Evgenii A. Gaiduk, Elena E. Tareyeva, Valentin N. Ryzhov, a) Pavel A. Libet, 3 Nikita A. Dmitryuk, Nikita P. Kryuchkov, andExpand
Scale-dependent tipping points of bacterial colonization resistance
Using a microfluidic device to grow bacteria in crypt-like incubation chambers of systematically varied lengths, it is found that the incubation scale can sensitively tune bacterial colonization success and resistance against invaders. Expand


Melting scenarios of two-dimensional Hertzian spheres with a single triangular lattice.
We present a molecular dynamics simulation study of the phase diagram and melting scenarios of two-dimensional Hertzian spheres with exponent 7/2. We have found multiple re-entrant melting of aExpand
Two-dimensional melting: from liquid-hexatic coexistence to continuous transitions.
The phase diagram of two-dimensional continuous particle systems is studied using the event-chain Monte Carlo algorithm and it is demonstrated that Yukawa particles likewise may follow either the KTHNY or the hard-disk melting scenario, depending on the Debye-Hückel screening length as well as on the temperature. Expand
Two-step melting in two dimensions: first-order liquid-hexatic transition.
It is shown that melting in hard disks proceeds in two steps with a liquid phase, a hexatic phase, and a solid, and the hexatic-solid transition is continuous while, surprisingly, the liquid-hexatic transition is of first order. Expand
The phase diagram and melting scenarios of two-dimensional Hertzian spheres
ABSTRACT We present computer simulations of a system of purely repulsive soft colloidal particles interacting via the Hertz potential and constrained to a two-dimensional plane. This potentialExpand
The influence of random pinning on the melting scenario of two-dimensional soft-disk systems
ABSTRACT We present the results of a computer simulation study of the melting scenario of two-dimensional soft-disk systems with potential , n=12 and n=1024, both in the presence of random pinningExpand
Two-stage melting induced by dislocations and grain boundaries in monolayers of hard spheres.
Using event-driven molecular dynamics simulations, it is found that the peculiar two-stage melting scenario of a continuous solid-hexatic and a first-order hexatic-liquid transition as observed for a truly 2D system of hard disks persists for a quasi-2D systems of hard spheres with out-of-plane particle motions as high as half the particle diameter. Expand
First-order and continuous melting transitions in two-dimensional Lennard-Jones systems and repulsive disks.
It is suggested that the melting scenario of these repulsive potentials becomes hard-disk-like for an exponent in the range 12, similar to hard disks. Expand
Melting of the Vortex Lattice through Intermediate Hexatic Fluid in an a-MoGe Thin Film.
Using a combination of real space imaging and transport measurements, it is shown that the two-dimensional vortex lattice in an a-MoGe thin film follows this sequence of melting as the magnetic field is increased. Expand
First-order melting transition of the hard-disk system.
  • Lee, Strandburg
  • Physics, Medicine
  • Physical review. B, Condensed matter
  • 1992
It is found that the hard-disk system melts directly from a two-dimensional solid with long-range orientational order to an isotropic liquid with no intervening hexatic phase. Expand
Hard-disk equation of state: first-order liquid-hexatic transition in two dimensions with three simulation methods.
These simulations reproduce the equation of state, previously obtained using the event-chain Monte Carlo algorithm, with a massively parallel implementation of the local Monte Carlo method and with event-driven molecular dynamics to confirm the first-order nature of the melting phase transition in hard disks. Expand