Search Results - "Michelitsch, Thomas M."
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1
A Markovian random walk model of epidemic spreading
Published in Continuum mechanics and thermodynamics (01-07-2021)“…We analyze the dynamics of a population of independent random walkers on a graph and develop a simple model of epidemic spreading. We assume that each walker…”
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Stochastic Compartment Model with Mortality and Its Application to Epidemic Spreading in Complex Networks
Published in Entropy (Basel, Switzerland) (01-05-2024)“…We study epidemic spreading in complex networks by a multiple random walker approach. Each walker performs an independent simple Markovian random walk on a…”
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3
Biased Continuous-Time Random Walks with Mittag-Leffler Jumps
Published in Fractal and fractional (01-12-2020)“…We construct admissible circulant Laplacian matrix functions as generators for strictly increasing random walks on the integer line. These Laplacian matrix…”
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Semi-Markovian Discrete-Time Telegraph Process with Generalized Sibuya Waiting Times
Published in Mathematics (Basel) (01-01-2023)“…In a recent work we introduced a semi-Markovian discrete-time generalization of the telegraph process. We referred to this random walk as the ‘squirrel random…”
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Asymmetric random walks with bias generated by discrete-time counting processes
Published in Communications in nonlinear science & numerical simulation (01-06-2022)“…We introduce a new class of asymmetric random walks on the one-dimensional infinite lattice. In this walk the direction of the jumps (positive or negative) is…”
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Squirrels can remember little: A random walk with jump reversals induced by a discrete-time renewal process
Published in Communications in nonlinear science & numerical simulation (01-04-2023)“…We consider a class of discrete-time random walks with directed unit steps on the integer line. The direction of the steps is reversed at the time instants of…”
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Acoustic emission detection of crystallization in two forms: monohydrate and anhydrous citric acid
Published in Pharmaceutical development and technology (21-04-2019)“…Reliable monitoring of solution crystallization processes is important to provide further insight into process dynamics and to improve process control in the…”
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Nonlocal constitutive laws generated by matrix functions: Lattice dynamics models and their continuum limits
Published in International journal of engineering science (01-07-2014)“…We analyze one-dimensional discrete and quasi-continuous linear chains of N≫1 equidistant and identical mass points with periodic boundary conditions and…”
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Acoustic emission during the solvent mediated cooling crystallization of citric acid
Published in Powder technology (01-11-2016)“…The potential of Acoustic Emission (AE) for controlling crystallization processes is investigated. The sensing technology is successfully applied to monitor…”
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10
Dynamic Eshelby tensor and potentials for ellipsoidal inclusions
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (08-04-2003)“…Eshelby tensor is expressed in terms of solutions of the Helmholtz equation (Helmholtz potentials). A compact formulation for the components of the dynamic…”
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On discrete time Prabhakar-generalized fractional Poisson processes and related stochastic dynamics
Published in Physica A (01-03-2021)“…Recently the so-called Prabhakar generalization of the fractional Poisson counting process attracted much interest for his flexibility to adapt to real world…”
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On the solution of the dynamic Eshelby problem for inclusions of various shapes
Published in International journal of solids and structures (2005)“…In many dynamic applications of theoretical physics, for instance in electrodynamics, elastodynamics, and materials sciences (dynamic variant of Eshelby’s…”
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13
Analysis of the vibrational mode spectrum of a linear chain with spatially exponential properties
Published in International journal of engineering science (01-02-2009)“…We deduce the dynamic frequency-domain-lattice Green’s function of a linear chain with properties (masses and next-neighbor spring constants) of exponential…”
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14
Propagation of electroacoustic waves in the transversely isotropic piezoelectric medium reinforced by randomly distributed cylindrical inhomogeneities
Published in International journal of solids and structures (01-09-2002)“…The propagation of electroacoustic waves in a piezoelectric medium containing a statistical ensemble of cylindrical fibers is considered. Both the matrix and…”
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15
Three-dimensional Green tensor of one-dimensional hexagonal quasicrystals
Published in Crystals (Basel) (2024)“…In this work, the elastic 4 × 4 Green tensor of one-dimensional quasicrystals is given and has phonon, phason and phonon-phason coupling components. Using the…”
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16
Continuous time random walk and diffusion with generalized fractional Poisson process
Published in Physica A (01-05-2020)“…A non-Markovian counting process, the ‘generalized fractional Poisson process’ (GFPP) introduced by Cahoy and Polito in 2013 is analyzed. The GFPP contains two…”
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On the retarded potentials of inhomogeneous ellipsoids and sources of arbitrary shapes in the three-dimensional infinite space
Published in International journal of solids and structures (2005)“…We analyze the infinite space solutions of the three-dimensional inhomogeneous wave equation (the ‘retarded potentials’ or ‘causal propagators’) for…”
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Dynamic potentials and Green's functions of a quasi–plane piezoelectric medium with inclusion
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (08-10-2002)“…The…”
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19
Evaluation of Magnetic-Mechanical Coupling Behavior of Multiphase Magnetostrictive Materials
Published in Journal of superconductivity and novel magnetism (01-04-2020)“…An online control by the magnetic method is considered as a nondestructive evaluation approach to detect the variation of the microstructure. The magnetic…”
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20
Modeling of Magneto-Elastic Behavior Under Perturbations of Spontaneous Magnetic Field
Published in Journal of superconductivity and novel magnetism (01-03-2020)“…Internal magnetic fields launched by the neighbor grains can influence the magneto-mechanical coupling effects of the material. However, these perturbations…”
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