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Semiconductor $p^+ - p^- - n - p^+ - n^{++}$ structures with large junction and contact areas are treated as 1 \times 2-dimensional active media, in which self-organized pattern formation can be expected. The local bistable behavior of the…

patt-sol · Physics 2009-10-31 A. V. Gorbatyuk , F. -J. Niedernostheide

We consider a quite general problem concerning a linear free oscillation of a discrete mass-spring-damper system. This discrete sub-system is embedded into a one-dimensional continuum medium described by the linear telegraph equation. In a…

Classical Physics · Physics 2024-11-15 Serge N. Gavrilov , Ilya O. Poroshin , Ekaterina V. Shishkina , Yulia A. Mochalova

This paper deals with the theoretical and numerical analysis of dynamic fracture of dissimilar chain consisting of masses lined by springs. Such a structure exhibits quite different dynamic properties in comparison with a symmetrical…

Soft Condensed Matter · Physics 2017-09-11 Nikolai Gorbushin , Gennady Mishuris

A trapping mechanism is observed and proposed as the origin of the anomalous behavior recently discovered in transport properties of overdamped ratchets subject to external oscillatory drive in the presence of quenched noise. In particular,…

Statistical Mechanics · Physics 2009-11-13 D. G. Zarlenga , H. A. Larrondo , C. M. Arizmendi , F. Family

We study general linear transport-reaction systems on an arbitrary dimensional hypercube with periodic boundary conditions. Transport-reaction systems are often used to model the finite speed movement and interaction of particles, bacteria…

Analysis of PDEs · Mathematics 2022-10-04 Benedikt Geiger

Many real-world networks of interest are embedded in physical space. We present a new random graph model aiming to reflect the interplay between the geometries of the graph and of the underlying space. The model favors configurations with…

Probability · Mathematics 2017-06-14 Jean-Christophe Mourrat , Daniel Valesin

We show that directed ratchet transport of a driven overdamped Brownian particle subjected to a spatially periodic and symmetric potential can be reliably controlled by tailoring a biharmonic temporal force, in coherence with the…

Statistical Mechanics · Physics 2015-06-12 Pedro J. Martínez , Ricardo Chacón

We study the Hamiltonian dynamics of a one-dimensional chain of linearly coupled particles in a spatially periodic potential which is subjected to a time-periodic mono-frequency external field. The average over time and space of the related…

Statistical Mechanics · Physics 2009-11-13 Dirk Hennig

It has been shown that the combination of a broken spatial symmetry in the potential (or ratchet potential) and time correlations in the driving are crucial, and enough to allow transformation of the fluctuations into work. The required…

Condensed Matter · Physics 2009-10-22 Dante R. Chialvo , Mark M. Millonas

We analyse a continuous-time random walk model with stochastic reversals of direction. There is no external potential but the reorientation mechanism generates a non-zero current from asymmetry in the forward and backward waiting-time…

Statistical Mechanics · Physics 2026-02-27 Venkata D. Pamulaparthy , Rosemary J. Harris

In this article, we review and discuss different aspects of stability and genericity of some properties of space-times which occur in various contexts in the General Theory of Relativity. We also give argument supporting the conclusion that…

General Relativity and Quantum Cosmology · Physics 2016-12-30 R. V. Saraykar

We show that transport in the presence of entropic barriers exhibits peculiar characteristics which makes it distinctly different from that occurring through energy barriers. The constrained dynamics yields a scaling regime for the particle…

Statistical Mechanics · Physics 2009-11-11 D. Reguera , G. Schmid , P. S. Burada , J. M. Rubí , P. Hänggi

In this paper the qualitative dynamical properties of so-called generalized ribosome flow models are studied. Ribosome flow models known from the literature are generalized by allowing an arbitrary directed network structure between the…

Dynamical Systems · Mathematics 2023-07-19 G. Szederkenyi , M. A. Vaghy

A theory for kinetic arrest in isotropic systems of repulsive, radially-interacting particles is presented that predicts exponents for the scaling of various macroscopic quantities near the rigidity transition that are in agreement with…

Materials Science · Physics 2009-11-11 D. A. Head

"Punchets" are hybrids between ratchets and pumps, combining a spatially periodic static potential, typically asymmetric under space inversion, with a local driving that breaks time-reversal invariance, and are intended to model metal or…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 Thomas Dittrich , Nicolás Medina Sánchez

We report on the design of a Hamiltonian ratchet exploiting periodically at rest integrable trajectories in the phase space of a modulated periodic potential, leading to the linear non-diffusive transport of particles. Using Bose-Einstein…

Quantum Gases · Physics 2023-10-02 N. Dupont , L. Gabardos , F. Arrouas , N. Ombredane , J. Billy , B. Peaudecerf , D. Guéry-Odelin

In this paper we consider the dynamics of harmonically-confined atomic gases. We present various general results which are independent of particle statistics, interatomic interactions and dimensionality. Of particular interest is the…

Quantum Gases · Physics 2014-03-13 Z. Wu , E. Zaremba

We show that grains streaming through a fluid are generically unstable if their velocity, projected along some direction, matches the phase velocity of a fluid wave (linear oscillation). This can occur whenever grains stream faster than any…

Earth and Planetary Astrophysics · Physics 2018-04-11 Jonathan Squire , Philip F. Hopkins

Stochastic dynamical systems arise as models for fluid particle motion in geophysical flows with random velocity fields. Escape probability (from a fluid domain) and mean residence time (in a fluid domain) quantify fluid transport between…

Dynamical Systems · Mathematics 2025-10-20 Jinqiao Duan , James R. Brannan , Vincent J. Ervin

We consider the transport of rigid objects with internal structure in a flashing ratchet potential by investigating the overdamped behavior of a rod-like chain of evenly spaced point particles. In 1D, analytical arguments show that the…

Statistical Mechanics · Physics 2009-11-11 Erin M. Craig , Martin J. Zuckermann , Heiner Linke
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