We study the (analytic) finite-size corrections in the Ising model on the strip with free, fixed (++), and mixed boundary conditions. For fixed (++) boundary conditions, the spins are fixed to the same values on two sides of the strip. We find that subdominant finite-size corrections to scaling should be to the form a(p)/N(2p-1) for the free energy f(N) and b(p)/N(2p-1) for inverse correlation ...

The objective of this paper is to provide analytical expressions for the elastic cross-section local buckling stress, including element interaction, of hot-rolled steel structural shapes. The crosssection local buckling stress is determined by finite strip analysis. Local stability of each crosssection is considered in axial compression, as well as positive and negative bending about the major ...

Parametric studies were carried out to analyse the effect on sea water intrusion of freshwater recharge through a finite width strip parallel to the coast. A vertically integrated one-dimensional finite element model was used for this purpose. The studies included the analysis of the effect of location, width, intensity and the period of recharge on sea water-freshwater interface motion. Relati...

We consider the dynamics of a two-dimensional incompressible perfect fluid on M\"obius strip embedded in $\mathbb{R}^3$. The vorticity-streamfunction formulation Euler equations is derived from an exterior-calculus form momentum equation. non-orientability and distinction between forms pseudo-forms this introduces lead to unusual properties: boundary condition provided by conservation circulati...

We propose a modification of the Nightingale renormalization group for lattice spin and gauge models by combining it with the cluster decimation approximation. Essential ingredients of our approach are: 1) exact calculation of the partition and correlation function on a finite lattice strip; 2) preservation of the mass gap or the second moment correlation length, computed in the infinite strip ...

Let D be a convex planar domain of finite inradius RD . Fix the point 0 ∈ D and suppose the disk centered at 0 and radius RD is contained in D. Under these assumptions we prove that the symmetric decreasing rearrangement in θ of the Green’s function GD(0, ρe iθ), for fixed ρ, is dominated by the corresponding quantity for the strip of width 2RD . From this, sharp integral mean inequalities for ...

We present thermoelectric measurements of the heat dissipated due to ferromagnetic resonance of a Permalloy strip. A microwave magnetic field, produced by an on-chip coplanar strip waveguide, is used to drive the magnetization precession. The generated heat is detected via Seebeck measurements on a thermocouple connected to the ferromagnet. The observed resonance peak shape is in agreement with...

The survival probability of a particle diffusing in the two-dimensional domain x > 0 near a "windy cliff" at x = 0 is investigated. The particle dies upon reaching the edge of the cliff: In addition to diffusion, the particle is influenced by a steady "wind shear" with velocity v(x,y)=vsign (y)~, i.e., no average bias either toward or away from the cliff. For this semi-infinite system, the part...

Given a finite set of spheres of different sizes we study the three-dimensional Strip Packing Problem (3D-SPP) as well as the three-dimensional Knapsack Problem (3D-KP). The 3D-SPP asks for a placement of all spheres within a cuboidal strip of fixed width and height so that the variable length of the cuboidal strip is minimized. The 3D-KP requires packing of a subset of the spheres in a given c...

Finite-size scaling, finite-size corrections, and boundary effects for critical systems have attracted much attention in recent years. Here we derive exact finite-size corrections for the free energy F and the specific heat C of the critical ferromagnetic Ising model on the Mu x 2 Nu square lattice with Brascamp-Kunz (BK) boundary conditions [J. Math. Phys. 15, 66 (1974)] and compare such resul...