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The collective effect on the viscosity is essential for warm dense metals. The statistics of random-walk ions and the Debye shielding effect describing the collective properties are introduced in the random-walk shielding-potential viscosity model (RWSP-VM). As a test, the viscosities of several metals (Be, Al, Fe and U) are obtained, which cover from low-Z to high-Z elements. The results indicate that RWSP-VM is a universal accurate and highly efficient model for calculating the viscosity of metals in warm dense state.
Expanding media are typical in many different fields, e.g. in Biology and Cosmology. In general, a medium expansion (contraction) brings about dramatic changes in the behavior of diffusive transport properties. Here, we focus on such effects when the
Continuous time random Walk model has been versatile analytical formalism for studying and modeling diffusion processes in heterogeneous structures, such as disordered or porous media. We are studying the continuous limits of Heterogeneous Continuo
In a simple model of a continuous random walk a particle moves in one dimension with the velocity fluctuating between V and -V. If V is associated with the thermal velocity of a Brownian particle and allowed to be position dependent, the model accoun
The random walk with hyperbolic probabilities that we are introducing is an example of stochastic diffusion in a one-dimensional heterogeneous media. Although driven by site-dependent one-step transition probabilities, the process retains some of the
A physical-mathematical approach to anomalous diffusion may be based on generalized diffusion equations (containing derivatives of fractional order in space or/and time) and related random walk models. The fundamental solution (for the {Cauchy} probl