A transport model of electrolyte convection through a charged
... to a large range of problems, particularly those in electrodiffusion [22] and semiconductor fields [23]. In general, time-dependent PNP systems present significant mathematical difficulties and solutions, when possible, are obtained numerically [24]. However, numerical methods used to solve these sy ...
... to a large range of problems, particularly those in electrodiffusion [22] and semiconductor fields [23]. In general, time-dependent PNP systems present significant mathematical difficulties and solutions, when possible, are obtained numerically [24]. However, numerical methods used to solve these sy ...
Lectures in Theoretical Biophysics - Theoretical and Computational
... added to the deterministic equations to yield associated stochastic differential equations. In such cases as well as in the case of classical Brownian particles, the noise term B[x(t), t] · η(t) needs to be specified on the basis of the underlying origins of noise. We will introduce further below se ...
... added to the deterministic equations to yield associated stochastic differential equations. In such cases as well as in the case of classical Brownian particles, the noise term B[x(t), t] · η(t) needs to be specified on the basis of the underlying origins of noise. We will introduce further below se ...
Quantum noise in optical fibers II: Raman jitter in soliton
... Physical quantities can be calculated from this phase-space simulation by averaging products of φ and φ∗ over many stochastic trajectories. In this Wigner representation, these stochastic averages correspond to the ensemble averages of symmetrically-ordered products of quantum operators, such as tho ...
... Physical quantities can be calculated from this phase-space simulation by averaging products of φ and φ∗ over many stochastic trajectories. In this Wigner representation, these stochastic averages correspond to the ensemble averages of symmetrically-ordered products of quantum operators, such as tho ...
Thermal convection in rotating spherical shells Ferran Garcia Gonzalez
... 50, 29, 106]. In these type of flows, there are intermittent periods in which the fluid is nearly stagnant, and periods with strong localised convection. The latter convective structures, which regenerate the differential rotation are destroyed by the action of the shear of the flow. According to [6 ...
... 50, 29, 106]. In these type of flows, there are intermittent periods in which the fluid is nearly stagnant, and periods with strong localised convection. The latter convective structures, which regenerate the differential rotation are destroyed by the action of the shear of the flow. According to [6 ...
Haag`s Theorem in Renormalisable Quantum Field Theories
... • First, all approaches to construct quantum field models in a way seen as mathematically sound and rigorous employ methods from operator theory and stochastic analysis, the latter only in the Euclidean case. This is certainly natural given the corresponding heuristically very successful notions use ...
... • First, all approaches to construct quantum field models in a way seen as mathematically sound and rigorous employ methods from operator theory and stochastic analysis, the latter only in the Euclidean case. This is certainly natural given the corresponding heuristically very successful notions use ...