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We predict hydrodynamic Turing instability of current-carrying Dirac electron fluids that drives spontaneous self-oscillatory transport. The instability arises near charge neutrality, where carrier kinetics make current dissipation strongly…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Prayoga Liong , Aliaksandr Melnichenka , Anton Bukhtatyi , Albert Bilous , Leonid Levitov

The momentum of light in dielectric media has been a century-long controversy that continues to attract significant interest. In a linear dielectric medium with refractive index n, the momentum is predicted to be smaller by a factor of n…

Optics · Physics 2025-09-23 Adam B. Cahaya

A Quincke roller is a unique active particle that can run and tumble freely on a flat plate due to the torque generated by a uniform DC electric field applied perpendicular to the plate. A system involving many such particles exhibits a…

Soft Condensed Matter · Physics 2023-02-06 Shun Imamura , Kohei Sawaki , John J. Molina , Matthew S. Turner , Ryoichi Yamamoto

We consider the thermal and athermal overdamped motion of particles in 1D geometries where discrete internal degrees of freedom (spin) are coupled with the translational motion. Adding a driving velocity that depends on the time-dependent…

Statistical Mechanics · Physics 2018-03-21 Thibaut Demaerel , Christian Maes

We investigate the competing effects of simultaneous presence of chirality and generalised tumbles in the dynamics of an active Brownian particle. Chiral active particles perform circular motions that give rise to slow transport at late…

Statistical Mechanics · Physics 2024-10-17 Kristian Stølevik Olsen , Hartmut Löwen

We propose a model of run-and-tumble particles (RTPs) on a line with a fertile site at the origin. After going through the fertile site, a run-and-tumble particle gives rise to new particles until it flips direction. The process of creation…

Statistical Mechanics · Physics 2021-08-11 Pascal Grange , Xueqi Yao

We consider a run-and-tumble particle on a finite interval $[a,b]$ with two absorbing end points. The particle has an internal velocity state that switches between three values $v,0,-v$ at exponential times, thus incorporating positive…

Statistical Mechanics · Physics 2026-02-02 Pascal Grange , Linglong Yuan

Quantum tunneling through a two-dimensional static barrier becomes unusual when a momentum of an electron has a tangent component with respect to a border of the prebarrier region. If the barrier is not homogeneous in the direction…

Quantum Physics · Physics 2009-11-03 B. Ivlev

Very much like the ubiquitous quantum interference of a single particle with itself, quantum interference of two independent, but indistinguishable, particles is also possible. This interference is a direct result of quantum exchange…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. Neder , N. Ofek , Y. Chung , M. Heiblum , D. Mahalu , V. Umansky

Interference is the mechanism through which waves can be structured into the most fascinating patterns. While for sensing, imaging, trapping, or in fundamental investigations, structured waves play nowadays an important role and are…

Random flights (also called run-and-tumble walks or transport processes) represent finite velocity random motions changing direction at any Poissonian time. These models in d-dimension, can be studied giving a general formulation of the…

Statistical Mechanics · Physics 2024-10-16 Luca Angelani , Alessandro De Gregorio , Roberto Garra , Francesco Iafrate

The Dirac equation is used to describe oblique spin-conserving and spin-flip reflections of relativistic electrons from a one-dimensional potential barrier in a vacuum. When an electron hits the barrier from an oblique direction, its…

Quantum Physics · Physics 2014-03-28 Wlodek Zawadzki , Pawel Pfeffer

Quantum simulation is a powerful tool to study a variety of problems in physics, ranging from high-energy physics to condensed-matter physics. In this article, we review the recent theoretical and experimental progress in quantum simulation…

Quantum Gases · Physics 2012-03-28 Dan-Wei Zhang , Zi-Dan Wang , Shi-Liang Zhu

The Dirac wave equation for the electron soon lead to the recognition of the Zitterbewegung. This was studied both by Schrodinger and Dirac. Later there were further elegant and sometimes dissenting insights, from different authors. We…

General Physics · Physics 2009-02-18 Burra G. Sidharth

Particle-laden turbulence involves complex interactions between the dispersed and continuous phases. Given that particles can exhibit a wide range of properties, such as varying density, size, and shape, their interplay with the flow can…

We investigate the effects of spin-momentum locking on the interference and diffraction patterns due to a double- or single-slit in an electronic \emph{Gedankenexperiment}. We show that the inclusion of the spin-degree-of-freedom, when…

Mesoscale and Nanoscale Physics · Physics 2020-10-15 D. Bercioux , T. van den Berg , D. Ferraro , J. Rech , T. Jonckheere , T. Martin

We study the biased diffusion of particles moving in one direction under the action of a constant force in the presence of a piecewise linear random potential. Using the overdamped equation of motion, we represent the first and second…

Statistical Mechanics · Physics 2010-07-08 S. I. Denisov , E. S. Denisova , H. Kantz

We consider the dynamics of Dirac particles moving in the curved spaces with one coordinate subjected to compactification and thus interpolating smoothly between three- and two-dimensional spaces. We use the model of compactification, which…

General Relativity and Quantum Cosmology · Physics 2014-02-18 Alexander J. Silenko , Oleg V. Teryaev

We study the statistical properties of the convex hull of a planar run-and-tumble particle (RTP), also known as the "persistent random walk", where the particle/walker runs ballistically between tumble events at which it changes its…

Statistical Mechanics · Physics 2020-05-25 Alexander K Hartmann , Satya N Majumdar , Hendrik Schawe , Grégory Schehr

Wave-particle interaction in toroidal plasmas is an essential transport mechanism in drift wave instability-driven microturbulence. In tokamkas, different wave-particle resonance conditions have been found important for the energy and…

Plasma Physics · Physics 2022-02-02 Ge Dong , Zhihong Lin