107 citations · 171 across the 16 of their papers we have counts for
16 papers
Disordered ground states in one-dimensional exactly solvable fluids
Igor Travěnec, Ladislav Šamaj
One-dimensional fluids of classical hard-core particles of diameter , interacting in pairs via a soft repulsive (monotonically decreasing) potential of finite range $φ(x)=\varep…
1D fluids with repulsive nearest-neighbour interactions: Low-temperature anomalies
Igor Travěnec, Ladislav Šamaj
A limited number of 2D and 3D materials under a constant pressure contract in volume upon heating isobarically; this anomalous phenomenon is known as the negative thermal expansion…
Equidistant versus bipartite ground states for 1D classical fluids at fixed particle density
Laurent Bétermin, Ladislav Šamaj, Igor Travěnec
We study the ground-state properties of one-dimensional fluids of classical (i.e., non-quantum) particles interacting pairwisely via a potential, at the fixed particle density .…
Structural transitions in interacting lattice systems
Laurent Bétermin, Ladislav Šamaj, Igor Travěnec
We consider two-dimensional systems of point particles located on rectangular lattices and interacting via pairwise potentials. The goal of this paper is to investigate the phase t…
Three-dimensional lattice ground states for Riesz and Lennard-Jones type energies
Laurent Bétermin, Ladislav Šamaj, Igor Travěnec
The Riesz potential is known to be an important building block of many interactions, including Lennard-Jones type potentials $f_{n,m}^{\rm{LJ}}(r):=a r^{-n}-b r^{-m…
Two-dimensional Wigner crystals of classical Lennard-Jones particles
Igor Travěnec, Ladislav Šamaj
The ground-state of two-dimensional (2D) systems of classical particles interacting pairwisely by the generalized Lennard-Jones potential is studied. Taking the surface area per pa…