the coherent anomaly method and a cluster mean-field approach combined with finite-sizescaling extrapolation were used to determine the critical temperature and the critical exponents of as =1 ising chain with a long-range interaction in the form of 1/ r1+σ . the results of criticaltemperature are in good agreement with the recent results of the finite-range scaling method and aremore accurate ...

We present an improved version of an earlier Larson-type model of amphiphiles. Detailed descriptions of the algorithms are given and some situations where care must be taken are pointed out We use the model to calculate the condensation transition temperature of amphiphiles in a ternary mixture. The concentration percolation threshold and percolation critical exponent of arnphiphile clusters at...

‎we study the existence of soliton solutions for a class of‎ ‎quasilinear elliptic equation in $mathbb{textbf{r}}^2$ with critical exponential growth‎. ‎this model has been proposed in the self-channeling of a‎ ‎high-power ultra short laser in matter‎.

The (bitwise) complement $\overline{x}$ of a binary word $x$ is obtained by changing each $0$ in to $1$ and vice versa. An $\textit{antisquare}$ nonempty the form $x\, \overline{x}$. In this paper, we study infinite words that do not contain arbitrarily large antisquares. For example, show repetition threshold for language containing exactly two distinct antisquares $(5+\sqrt{5})/2$. We also th...

We show that the variational quantum-classical simulation algorithm admits a finite circuit depth scaling collapse when targeting critical point of transverse field Ising chain. The order parameter only collapses on one side transition due to slowdown quantum crossing phase transition. In assess performance and compute correlations in system up 752 qubits, we use techniques from integrability d...

Classically, percolation critical exponents are linked to the power laws that characterize percolation cluster fractal properties. It is found here that the gradient percolation power laws are conserved even for extreme gradient values for which the frontier of the infinite cluster is no more fractal. In particular the exponent 7/4 which was recently demonstrated to be the exact value for the d...