We report temperature-dependent neutron scattering measurements of the local dynamic structure factor in the quantum spin ladder (C7H10N)2CuBr4 in a magnetic field H = 9 T, in its gapless quantum-critical phase. We show that the measured quantity has a scaling form consistent with expectations for a Tomonaga-Luttinger liquid with attraction. The measured Luttinger parameter K ≈ 1.25 and scaling...

Non-Hermiticity can destroy Anderson localization and lead to delocalization even in one dimension. However, the unified understanding of non-Hermitian has yet be established. Here, we develop a scaling theory systems. We reveal that non-Hermiticity introduces new scale breaks down one-parameter scaling, which is central assumption conventional localization. Instead, identify origin unconventio...

Many processes and models produce trees with depth scaling logarithmically with the number of leaves. Phylogenetic trees, describing the evolutionary relationships between biological species, are examples of trees for which such scaling is not observed. With this motivation, we analyze numerically two branching models leading to non-logarithmic depth scaling. For the first one, Ford’s alphamode...

Numerical studies of the Anderson transition are based on finite-size scaling analysis of the smallest positive Lyapunov exponent. We prove numerically that the same scaling holds also for higher Lyapunov exponents. This scaling supports the hypothesis of the one-parameter scaling of the conductance distribution. From collected numerical data for quasi one dimensional systems up to system size ...

This paper proposes a new time-scaling approach for computational optimal control of a distributed parameter system governed by the Saint-Venant PDEs. We propose the time-scaling approach, which can change a uniform time partition to a nonuniform one. We also derive the gradient formulas by using the variational method. Then the method of lines (MOL) is applied to compute the Saint-Venant PDEs ...

The transport statistics of the 1D chain and metallic armchair graphene nanoribbons with hopping disorder are studied, a focus on understanding crossover between zero-energy critical point localized regime at larger energy. In this region, is found to be described by two parameter scaling ratio $s$ system size mean free path, product $r$ energy scattering time. This shows excellent data collaps...

The theory of growth kinetics developed previously is extended to the asymmetric case of off-critical quenches for systems with a conserved scalar order parameter. In this instance the new parameter M , the average global value of the order parameter, enters the theory. For M = 0 one has critical quenches, while for sufficiently large M one approaches the coexistence curve. For all M the theory...