27 citations · 87 across the 7 of their papers we have counts for
7 papers
Critical energy density of O models in
Rachele Nerattini, Andrea Trombettoni, Lapo Casetti
A relation between O models and Ising models has been recently conjectured [L. Casetti, C. Nardini, and R. Nerattini, Phys. Rev. Lett. 106, 057208 (2011)]. Such a relation, in…
Density of states of the model: an energy landscape approach
Cesare Nardini, Rachele Nerattini, Lapo Casetti
Among the stationary configurations of the Hamiltonian of a classical O lattice spin model, a class can be identified which is in one-to-one correspondence with all the the co…
"Magic" numbers in Smale's 7th problem
Rachele Nerattini, Johann S. Brauchart, Michael K. -H. Kiessling
Smale's 7-th problem concerns N-point configurations on the 2-dim sphere which minimize the logarithmic pair-energy V_0(r) = -ln r averaged over the pairs in a configuration; here,…
Exploring the energy landscape of XY models
Rachele Nerattini, Michael Kastner, Dhagash Mehta +1
We investigate the energy landscape of two- and three-dimensional XY models with nearest-neighbor interactions by analytically constructing several classes of stationary points of…
Density of states of continuous and discrete spin models: a case study
Cesare Nardini, Rachele Nerattini, Lapo Casetti
A relation between O(n) lattice spin models and Ising models defined on the same lattice was recently put forward [L. Casetti, C. Nardini, and R. Nerattini, Phys. Rev. Lett. 106, 0…
On a microcanonical relation between continuous and discrete spin models
Lapo Casetti, Cesare Nardini, Rachele Nerattini
A relation between a class of stationary points of the energy landscape of continuous spin models on a lattice and the configurations of a Ising model defined on the same lattice s…