Multi-Dimensional Random Walks and Integrable Phase Models
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DOI: 10.1007/s10958-017-3405-5
Abstract: We consider random multi-dimensional lattice walks bounded by a hyperplane, calling them walks over multi-dimensional simplicial lattices. We demonstrate that generating functions of these walks are dynamical correlation functions of a certain type of exactly… read more here.
Keywords: phase; dimensional random; multi dimensional; random walks ... See more keywords
Non-universality of the dynamic exponent in two-dimensional random media
Sign Up to like & getrecommendations! Published in 2019 at "Scientific Reports"
DOI: 10.1038/s41598-018-36236-z
Abstract: The diffusion of solutes in two-dimensional random media is important in diverse physical situations including the dynamics of proteins in crowded cell membranes and the adsorption on nano-structured substrates. It has generally been thought that… read more here.
Keywords: dimensional random; diffusion; non universality; dynamic exponent ... See more keywords
Polarization monotones of two-dimensional and three-dimensional random electromagnetic fields
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review A"
DOI: 10.1103/physreva.97.023804
Abstract: We propose a formal resource-theoretic approach to quantify the degree of polarization of two- and three-dimensional random electromagnetic fields. This endows the space of spectral polarization matrices with the orders induced by majorization or convex… read more here.
Keywords: three dimensional; random electromagnetic; dimensional random; electromagnetic fields ... See more keywords
Complete visitation statistics of one-dimensional random walks.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.064104
Abstract: We develop a framework to determine the complete statistical behavior of a fundamental quantity in the theory of random walks, namely, the probability that n_{1},n_{2},n_{3},... distinct sites are visited at times t_{1},t_{2},t_{3},.... From this multiple-time… read more here.
Keywords: visitation statistics; random walks; dimensional random; one dimensional ... See more keywords
Electrical conductance of two-dimensional random percolating networks based on mixtures of nanowires and nanorings: A mean-field approach along with computer simulation.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review. E"
DOI: 10.1103/physreve.107.034105
Abstract: We have studied the electrical conductance of two-dimensional (2D) random percolating networks of zero-width metallic nanowires (a mixture of rings and sticks). We took into account the nanowire resistance per unit length and the junction… read more here.
Keywords: two dimensional; conductance; dimensional random; electrical conductance ... See more keywords
Effect of antifreeze protein on heterogeneous ice nucleation based on a two-dimensional random-field Ising model.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.95.052140
Abstract: Antifreeze proteins (AFPs) are the key biomolecules that protect many species from suffering the extreme conditions. Their unique properties of antifreezing provide the potential of a wide range of applications. Inspired by the present experimental… read more here.
Keywords: dimensional random; antifreeze; random field; two dimensional ... See more keywords
Gaps between avalanches in one-dimensional random-field Ising models.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.032107
Abstract: We analyze the statistics of gaps (ΔH) between successive avalanches in one-dimensional random-field Ising models (RFIMs) in an external field H at zero temperature. In the first part of the paper we study the nearest-neighbor… read more here.
Keywords: dimensional random; random field; field; one dimensional ... See more keywords