Webb23 mars 2024 · Complex real-world networks with higher-order interactions can be described and analyzed using two types of representation, simplicial complexes and hypergraphs. The authors show that choice of ... Webb10 juni 2016 · To enable efficient theoretical computation of the spin dynamics ( 28 ), we performed experiments with a homogeneous Ising interaction and without simultaneous application of the transverse field Bx, finding good agreement with a solution of the full quantum master equation.

Simplicial and topological descriptions of human brain dynamics

Webb8 okt. 2024 · Simulating Ising Dynamics In this section we simulate dynamical processes using an Ising model. This requires two elements: a network structure and the dynamics that determine the progression of the system over time. The network structure is encoded as an adjacency matrix in from Equation ( 2 ). 3.1. Network Structures dr eric hewitt avon indiana

Local Dirac Synchronization on networks: Chaos: An …

WebbWe consider the general model for dynamical systems defined on a simplicial complex. We describe the conjugacy classes of these systems and show how symmetries in a given simplicial complex manifest in the dynamics defined thereon, especially with regard to invariant subspaces in the dynamics. WebbI am not quite sure how one would go about simulating these types of dynamics with a lattice model similar to Ising. I suppose you might have to use some lattice gas … Webb10 juni 2015 · The dynamical procedure considered here, is identical to a Ramsey spectroscopy setup. It has been implemented in various recent experiments as a diagnostic tool for interactions [ 27 ]. It consists of preparing an initial state with all spins aligned (at time t = 0) along a specific direction, here we consider it to be the x direction, … dr. eric hick dayton