In this article, we study a class of stochastic partial differential equations with fractional operators subject to some time-independent multiplicative Gaussian noise. We derive sharp conditions, under which unique global $$L^p(\Omega )$$ -solution exists for all $$p\ge 2$$ . case, exact moment asymptotics following the same strategy as that in recent work by Balan et al. (Inst Henri Poincaré ...

We study the non-equilibrium dynamics of two coupled oscillators interacting with their own heat baths quantum scalar fields at different temperature $T_1$ and $T_2$ bilinear couplings between them. particularly focus on entanglement or inseparability property states. The critical temperatures respective oscillators, $T_{1c}$ $T_{2c}$, higher than which disappears, can be determined. It is foun...

We present in this communication a new solving procedure for Kelvin&Kirchhoff equations, considering the dynamics of falling rigid rotating torus an ideal incompressible fluid, assuming additionally dynamical symmetry rotation body, I_1 = I_2. Fundamental law angular momentum conservation is used aforementioned procedure. The system Euler equations explored regard to existence analytic way pres...

The nitrogen-vacancy (NV) center has enabled widespread study of nanoscale nuclear magnetic resonance (NMR) spectroscopy at low fields. NMR high fields significantly improves the technique's spectral resolution, enabling clear identification closely related chemical species. However, NV-detected is typically performed using AC sensing through electron spin echo envelope modulation (ESEEM), a hy...

Improving two-qubit gate performance and suppressing crosstalk are major, but often competing, challenges to achieving scalable quantum computation. In particular, increasing the coupling realize faster gates has been intrinsically linked enhanced due unwanted terms in Hamiltonian. Here, we demonstrate a novel architecture for transmon qubits that circumvents standard relationship between desir...

$S$ = 1/2 Ising kagome antiferromagnets (KAFs) are rare in reality. In this work, we report the magnetic ground state and field-induced transitions of an antiferromagnet with a stacked geometry, Na$_5$Co$_{15.5}$Te$_6$O$_{36}$. Upon cooling, susceptibility measurement reveals three successive at $T_1$ 45.2 K, $T_2$ 35.4 $T_3 \sim$ 20 K. When field is applied along $c$ axis, strikingly anomalous...

$S$ = 1/2 Ising kagome antiferromagnets (KAFs) are rare in reality. In this work, we report the magnetic ground state and field-induced transitions of an antiferromagnet with a stacked geometry, Na$_5$Co$_{15.5}$Te$_6$O$_{36}$. Upon cooling, susceptibility measurement reveals three successive at $T_1$ 45.2 K, $T_2$ 35.4 $T_3 \sim$ 20 K. When field is applied along $c$ axis, strikingly anomalous...

By $\mathcal{A}^2$ denote the class of analytic functions formBy form$f(z)=\sum_{n+m=0}^{+\infty}a_{nm}z_1^nz_2^m,$with {the} domain convergence $\mathbb{T}=\{z=(z_1,z_2)\in\mathbb C^2\colon|z_1|<1,\ |z_2|<+\infty\}=\mathbb{D}\times\mathbb{C}$ and$\frac{\partial}{\partial z_2}f(z_1,z_2)\not\equiv0$ in $\mathbb{T}.$ In this paper we prove some analogue Wiman's inequalityfor $f\in\mathcal{A...

We address the well-known limitation of Huxley and Simmons 1971 (HS) model. It is a statement that at physiological value stiffness in actomyosin complex, distribution myosin motors becomes microscopically uniform (all are either pre- or post-power stroke conformation) after an infinitesimal displacement from stall (isometric contractions) conditions. Such behavior fiber level would generate ne...