We consider the max-type equation $$x_{n+4}=\max\{x_{n+3},x_{n+2},x_{n+1},0\}-x_n,$$ with arbitrary real initial conditions. describe completely its set of periods $\mathrm{Per}(F_4)$, as well associate periodic orbits. also prove that there exists a natural number $N\notin\mathrm{Per}(F_4)$ for which $$\left\{N+m:m\geq 1,m\in\mathbb N\right\}\subset\mathrm{Per}(F_4).$$

Recent studies in Jurkat T cells and in rat basophilic leukemia cells revealed an Mg(2+)-inhibited cation (MIC) channel that has electrophysiological properties similar to TRPM7 Eyring rate model expressed exogenously in mammalian cells. Here we compare the characteristics of several polyvalent cations and Mg(2+) to block monovalent MIC current from the outside. Putrescine, spermidine, spermine...

More recently, Wazwaz [An analytic study of Fisher’s equation by using Adomian decomposition method, Appl. Math. Comput. 154 (2004) 609–620] employed the Adomian decomposition method (ADM) to obtain exact solutions to Fisher’s equation and to a nonlinear diffusion equation of the Fisher type. In this paper, He’s homotopy perturbation method is employed for the generalized Fisher’s equation to o...

The Eyring–Kramers law describes the mean transition time of an overdamped Brownian particle between local minima in a potential landscape. In the weak-noise limit, the transition time is to leading order exponential in the potential difference to overcome. This exponential is corrected by a prefactor which depends on the principal curvatures of the potential at the starting minimum and at the ...

Molecular dynamics simulations using a pair-wise additive potential are implemented to investigate self-diffusion (Mg, Si, and O) and shear viscosity of liquid MgSiO3 in the density-temperaturepressure range 2350–5300 kg/m3, 2500–5000 K, and 0–140 GPa, respectively. Self-diffusivity and shear viscosity are described by modified Arrhenian expressions, which feature a pressure-dependent activatio...

Figures Figure S1. X-ray structure packing diagram (top) and asymmetric unit (bottom) of K[DIDTC] Figure S2. X-ray structure packing diagram (top) and asymmetric unit (bottom) of K[ImDTC] Figure S3. X-ray structure packing diagram (top) and asymmetric unit (bottom) of K[PyrDTC] Figure S4. Optimized geometries of the DTC anions at a PCM/B3LYP/6-31+G(d,p) theory level. Figure S5. TD-DFT calculate...

Molten mixtures of network-forming covalently bonded ZnCl2 and network-modifying ionically bonded NaCl and KCl salts are investigated as high-temperature heat transfer fluids for concentrating solar power plants. Specifically, using molecular dynamics simulations, the interplay between the extent of the network structure, composition, and the transport properties (viscosity, thermal conductivit...

We consider a diffusion on a potential landscape which is given by a smooth Hamiltonian H : Rn → R in the regime of low temperature ε. We proof the Eyring-Kramers formula for the optimal constant in the Poincaré (PI) and logarithmic Sobolev inequality (LSI) for the associated generator L = ε∆ − ∇H · ∇ of the diffusion. The proof is based on a refinement of the two-scale approach introduced by G...