Ultrasoft classical systems at zero temperature
arXiv:2007.08676 · doi:10.3390/e25020356
Abstract
At low temperatures ultrasoft particle systems develop interesting phases via the self-assembly of particle clusters. In this study we develop a general zero-temperature analysis fully characterizing the ground state of such models in two and three dimensions, considering the classical system with the restriction of a constant integer number of particles per cluster. We show that this methodology allows for an exact prediction of the actual density values at which the different phases emerge, including the zones of uneven cluster occupation, which are studied as coexistence regions of two pure phases. Beyond the method itself, designed to produce exact phase diagrams from general ultrasoft potentials, we reach analytical expressions for the energy and location of the different phases in the large occupancy limit.
arXiv comment9 pages, 5 figures
References in corpus (23)
- Exact Criterion for Determining Clustering vs. Reentrant Melting Behavior for Bounded Interaction Potentials
- Neutrino-pasta scattering: the opacity of nonuniform neutron-rich matter
- Why do ultrasoft repulsive particles cluster and crystallize? Analytical results from density functional theory
- Defect-induced supersolidity with soft-core bosons
- Astromaterial Science and Nuclear Pasta
- Computer Assembly of Cluster-Forming Amphiphilic Dendrimers
- The Elasticity of Nuclear Pasta
- Reentrant and Isostructural Transitions in a Cluster-Crystal Former
- Hexatic phase and cluster crystals of two-dimensional GEM4 spheres
- Interactions and design rules for assembly of porous colloidal mesophases
- Hierarchical structure formation in layered superconducting systems with multi-scale inter-vortex interactions
- A Monte Carlo method for chemical potential determination in single and multiple occupancy crystals
- Cluster glasses of ultrasoft particles
- Phonon dispersions of cluster crystals
- Quantum Cluster Quasicrystals
- Microphase Equilibrium and Assembly Dynamics
- Probing the existence of phase transitions in one-dimensional fluids of penetrable particles
- Glass transitions in monodisperse cluster-forming ensembles: vortex matter in type-1.5 superconductors
- Demixing cascades in cluster crystals
- Exploring quantum quasicrystal patterns: a variational study
- Phase-change switching in 2D via soft interactions
- Melting of a two-dimensional monodisperse cluster crystal to a cluster liquid
- Ground state phase diagram of ultrasoft bosons