We derive from kinetic theory, fluid mechanics and thermodynamics the minimal continuum-level equations governing the flow of a binary, non-electrolytic mixture in an isotropic porous medium with osmotic effects. For dilute mixtures, these equations are linear and in this limit provide a theoretical basis for the widely used semi-empirical relations of Kedem & Katchalsky (Kedem & Katchalsky 195...

Much of the theory on chemical-reaction networks (CRNs) has been developed in ideal-solution limit, where interactions between solutes are negligible. However, there is a large variety phenomena biological cells and soft-matter physics which appear to deviate from behaviour. Particularly striking case liquid-liquid phase separation, typically caused by inter-particle interactions. Here, we revi...

Non-ideal models have gained considerable attention in the design stage for evaluating product functionality and performance considering realistic conditions of surface. The evaluation generally involves deriving statistical distributions certain key characteristics, such as gaps distances, based on numerous assembly process simulations, thus necessitating a large number samples non-ideal surfa...

We study the Bohmian dynamics of a large class bipartite systems non-ideal qubit systems, by modifying basic physical parameters an ideal two-qubit system, made coherent states quantum harmonic oscillator. First we case with truncated energy levels and amplitudes. Then non-truncated but small amplitudes finally combination above cases. In all cases find that chaotic trajectories are approximate...

We propose a correction of the standard Big Bang nucleosynthesis (BBN) scenario to resolve primordial lithium problem by considering possibility that plasma can deviate from ideal state. In BBN, is assumed be ideal, with particles and photons satisfying Maxwell-Boltzmann Planck distribution, respectively. suggest this assumption being might oversimplify early Universe cause problem. find deviat...

Assumed that (S,+,.) is a semiring. Semiring algebra structure as generalization of ring. A set I⊆S called an ideal over semiring S if for any α,β∈I, we have α-β∈I and sα=αs∈I every s in S. Based on this definition, there special condition namely prime P, when αβ∈P, then could prove α or β are elements P. Furthermore, I irreducible Ia intersection from B S, I=A I=B. We also know the strongly no...