The modern construction revolution throughout the past two decades has brought the need
for ground vibration mitigation, and this has been one of the major study areas. These …

We develop the finite-size scaling (FSS) theory at quantum transitions. We consider various
boundary conditions, such as open and periodic boundary conditions, and characterize the …

Finite simplex lattice models are used in different branches of science, eg, in condensed-
matter physics, when studying frustrated magnetic systems and non-Hermitian localization …

We address the equilibrium and out-of-equilibrium behavior of the particle density in many-
body systems undergoing quantum transitions driven by the chemical potential μ. They …

We derive an exact formula for the corner free-energy contribution of weakly anisotropic two-
dimensional critical systems in the Ising universality class on rectangular domains …

We present detailed calculations for the partition function and the free energy of the finite two-
dimensional square lattice Ising model with periodic and antiperiodic boundary conditions …

The critical two-dimensional Ising model is studied with four types boundary conditions: free,
fixed ferromagnetic, fixed antiferromagnetic, and fixed double antiferromagnetic. Using bond …

An anisotropic limit of the 3d plaquette Ising model, in which the plaquette couplings in one
direction were set to zero, was solved for free boundary conditions by Suzuki (1972)[1], who …

In non-relativistic quantum theories the Lieb-Robinson bound defines an effective light cone
with exponentially small tails outside of it. In this work we use it to derive a bound for the time …

The bond-propagation algorithm for the specific heat of the two dimensional Ising model is
developed and that for the internal energy is completed. Using these algorithms, we study …