The present paper investigates the asymptotic behavior of solutions for stochastic non-Newtonian fluids in a two-dimensional domain. Firstly, we prove the existence of random attractors AH （w） in H; Secondly, we pro...
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The present paper investigates the asymptotic behavior of solutions for stochastic non-Newtonian fluids in a two-dimensional domain. Firstly, we prove the existence of random attractors AH （w） in H; Secondly, we prove the existence of random attractors Ay（w） in V. Then we verify regularity of the random attractors by showing that AH（W） = Ay（w）, which implies the smoothing effect of the fluids in the sense that solution becomes eventually more regular than the initial data.
The magnetisation of heavy holes in III-V semiconductor quantum wells with Rashba spin-orbit coupling （SOC） in an external perpendicular magnetic field is studied theoretically. We concentrate on the effects on the ...
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The magnetisation of heavy holes in III-V semiconductor quantum wells with Rashba spin-orbit coupling （SOC） in an external perpendicular magnetic field is studied theoretically. We concentrate on the effects on the magnetisation induced by the system boundary, the l^ashba SOC and the temperature. It is found that the sawtooth-like de Haas- van Alphen （dHvA） oscillations of the magnetisation will change dramatically in the presence of such three factors. Especially, the effects of the edge states and Rashba SOC on the magnetisation are more evident when the magnetic field is smaller. The oscillation center will shift when the boundary effect is considered and the Rashba SOC will bring beating patterns to the dHvA oscillations. These effects on the dHvA oscillations are preferably observed at low temperatures. With increasing temperature, the dHvA oscillations turn to be blurred and eventually disappear.
We define the projective operators for controlling unstable periodic orbit(UPO),and project the eigenvectors of Jacobian matrix of a system in the direction of trajectory and in the direction perpendicular to the *** ...
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We define the projective operators for controlling unstable periodic orbit(UPO),and project the eigenvectors of Jacobian matrix of a system in the direction of trajectory and in the direction perpendicular to the *** the two eigenvalues in the perpendicular direction are changed to negative ones by adjusting the controlling *** the control of UPO can be *** is also shown that the procedure is effective even in the presence of noise.
By representing a quantum state and its evolution with the Majorana stars on the Bloch sphere, the Majorana representation provides us an intuitive way to study a physical system with SU(2) symmetry. In this work,base...
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By representing a quantum state and its evolution with the Majorana stars on the Bloch sphere, the Majorana representation provides us an intuitive way to study a physical system with SU(2) symmetry. In this work,based on coherent states, we propose a method to establish the generalization of Majorana representation for a general symmetry. By choosing a generalized coherent state as a reference state, we give a more general Majorana representation for both finite and infinite systems and the corresponding star equations are given. Using this method, we study the squeezed vacuum states for three different symmetries, Heisenberg–Weyl, SU(2) and SU(1,1), and express the effect of squeezing parameter on the distribution of stars. Furthermore, we also study the dynamical evolution of stars for an initial coherent state driven by a nonlinear Hamiltonian, and find that at a special time point, the stars are distributed on two orthogonal large circles.
Combining first-principles accuracy and empirical-potential efficiency for the description of the potential energy surface(PES)is the philosopher's stone for unraveling the nature of matter via atomistic *** has b...
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Combining first-principles accuracy and empirical-potential efficiency for the description of the potential energy surface(PES)is the philosopher's stone for unraveling the nature of matter via atomistic *** has been particularly challenging for multi-component alloy systems due to the complex and non-linear nature of the associated *** this work,we develop an accurate PES model for the Al-Cu-Mg system by employing deep potential(DP),a neural network based representation of the PES,and DP generator(DP-GEN),a concurrent-learning scheme that generates a compact set of ab initio data for *** resulting DP model gives predictions consistent with first-principles calculations for various binary and ternary systems on their fundamental energetic and mechanical properties,including formation energy,equilibrium volume,equation of state,interstitial energy,vacancy and surface formation energy,as well as elastic *** benchmark shows that the DP model is ready and will be useful for atomistic modeling of the Al-Cu-Mg system within the full range of concentration.
Two identical chaotic systems of conservative flow are shown to be synchronous by applying periodic pubes at a regular time *** idea is illustrated with a numerical *** is robust against external noise.
Two identical chaotic systems of conservative flow are shown to be synchronous by applying periodic pubes at a regular time *** idea is illustrated with a numerical *** is robust against external noise.
In this paper,we study the Cauchy problem for the Benjamin-Ono-Burgers equation ∂_(t)u−ϵ∂^(2)/_(x)u+H∂^(2)_(x)u+uu_(x)=0,where H denotes the Hilbert transform *** obtain that it is uniformly locally well-posed for sma...
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In this paper,we study the Cauchy problem for the Benjamin-Ono-Burgers equation ∂_(t)u−ϵ∂^(2)/_(x)u+H∂^(2)_(x)u+uu_(x)=0,where H denotes the Hilbert transform *** obtain that it is uniformly locally well-posed for small data in the refined Sobolev space H~σ(R)(σ■0),which is a subspace of L2(ℝ).It is worth noting that the low-frequency part of H~σ(R)is scaling critical,and thus the small data is *** high-frequency part of H~σ(R)is equal to the Sobolev space Hσ(ℝ)(σ■0)and reduces to L2(ℝ).Furthermore,we also obtain its inviscid limit behavior in H~σ(R)(σ■0).
The University College London Global Thermospheric Model and the Sheffield University High-Latitude Ionospheric Convection Model have been integrated and improved to simulate the self-consistent interaction of the the...
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The University College London Global Thermospheric Model and the Sheffield University High-Latitude Ionospheric Convection Model have been integrated and improved to simulate the self-consistent interaction of the thermosphere and ionosphere at high latitudes. For mid- and low-latitudes, equatorward of 65 degrees geomagnetic, the neutral thermospheric code maintains the use of an empirical description of plasma densities. The neutral thermospheric wind velocity, composition, density, and energy budget are computed, including their full interactions with the high-latitude ion drift and the evolution of the plasma densities of O+, H+, NO+, N2
+, and O2
+. Two 24 hr Universal Time (UT) simulations have been performed at high solar activity, for a level of moderate geomagnetic activity, at the June and December solstices, to investigate the UT and seasonal response of the coupled system. During winter, the diurnal migration of the polar convection pattern into and out of sunlight, together with ion transport, plays a major role in the plasma density structure at F-region altitudes. Only during those UT periods, when the entire geomagnetic polar region is in total darkness, is the effect of auroral oval precipitation imprinted on the F-region. In summer, the increase in the proportion of molecular to atomic species, created by the global seasonal circulation and augmented by the geomagnetic forcing, is effective in controlling the plasma densities at all Universal Times. The increased destruction of atomic oxygen ions in summer reduces the mean level of F-region ionization to similar mean levels seen in winter, despite the increased level of solar insolation. The UT variation exceeds the seasonal differences, implying a longitudinal dependency in what can be described as a high-latitude winter ionospheric anomaly. Below 200 km summer plasma densities exceed winter values at all times, and are responsible for the larger summer conductivities, Joule heating, and consequent
Classical spin liquids (CSLs) are intriguing states of matter that do not exhibit long-range magnetic order and are characterized by an extensive ground-state degeneracy. Adding quantum fluctuations, which induce dyna...
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Two-point Green's function is measured on the manifolds of a 2-dimensional quantum gravity. The recursive sampling technique is used to generate the triangulations, lattice sizes being up to hundred thousand trian...
Two-point Green's function is measured on the manifolds of a 2-dimensional quantum gravity. The recursive sampling technique is used to generate the triangulations, lattice sizes being up to hundred thousand triangles. The grid Laplacian was inverted by means of the algebraic multi-grid solver. The free field model of the Quantum Gravity assumes the Gaussian behavior of Liouville field and curvature. We measured histograms as well as six momenta of these fields. Our results support the Gaussian assumption.
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