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We consider equations of nonlinear transport on the circle with regular self interactions appearing in aggregation models and deterministic mean field dynamics. We introduce a random perturbation of such systems through a stochastic…

Probability · Mathematics 2026-01-07 Max-K. von Renesse , Feng-Yu Wang , Alexander Weiß

We investigate how the competing presence of a nonuniform motility landscape and an external confining field affects the properties of active particles. We employ the active Ornstein-Uhlenbeck particle (AOUP) model with a periodic swim…

Statistical Mechanics · Physics 2022-03-02 Lorenzo Caprini , Umberto Marini Bettolo Marconi , René Wittmann , Hartmut Löwen

Nonreciprocal entanglement, characterized by inherently robust operation, is a cornerstone for quantum information processing and communications. However, it remains a great challenge to achieve nonreciprocal entanglement characterized by…

Quantum Physics · Physics 2025-09-03 Lei Huang , Peng-Fei Wang , Jian-Qi Zhang , Xin Zhou , Shuo Zhang , Han-Xiao Zhang , Hong Yang , Dong Yan

Besides its fundamental importance, non-reciprocity has also found many potential applications in quantum technology. Recently, many quantum systems have been proposed to realize non-reciprocity, but stable non-reciprocal process is still…

Quantum Physics · Physics 2021-06-09 Sai Li , Tao Chen , Jia Liu , Zheng-Yuan Xue

Active agents are capable of exerting nonreciprocal forces upon one another. For instance, one agent, say $A$, may attract another agent $B$ while $B$ repels $A$. These antagonistic nonreciprocal interactions have been extensively studied…

Quantum Physics · Physics 2025-01-23 Tobias Nadolny , Christoph Bruder , Matteo Brunelli

We consider an overdamped particle with a general physical mechanism that creates noisy active movement (e.g., a run-and-tumble particle or active Brownian particle etc.), that is confined by an external potential. Focusing on the limit in…

Statistical Mechanics · Physics 2023-08-23 Naftali R. Smith

We study the diffusivity of a tagged particle in a binary mixture of Brownian particles with non-reciprocal interactions. Numerical simulations reveal that, for a broad class of interaction potentials, non-reciprocity can significantly…

In active matter, the lack of momentum conservation makes non-reciprocal interactions the rule rather than the exception. They lead to a rich set of emerging behaviors that are hard to account for and to predict starting from the…

Statistical Mechanics · Physics 2024-02-06 Alberto Dinelli , Jérémy O'Byrne , Agnese Curatolo , Yongfeng Zhao , Peter Sollich , Julien Tailleur

Reciprocity is a universal principle that has a profound impact on many areas of physics. A fundamental phenomenon in condensed-matter physics, optical physics and acoustics, arising from reciprocity, is the constructive interference of…

Optics · Physics 2016-02-24 Y. Bromberg , B. Redding , S. M. Popoff , H. Cao

Active particles self-propel themselves with a stochastically evolving velocity, generating a persistent motion leading to a non-diffusive behavior of the position distribution. Nevertheless, an effective diffusive behavior emerges at times…

Statistical Mechanics · Physics 2022-09-14 Ion Santra , Urna Basu , Sanjib Sabhapandit

We study a system of active particles with soft repulsive interactions that lead to an active cluster-crystal phase in two dimensions. We use two different modelizations of the active force - Active Brownian particles (ABP) and…

When out-of-equilibrium particles interact by means of pairwise forces, their stationary distribution in general exhibits many-body interactions. In the particular case of active particles, it has been shown numerically that the Motility…

Statistical Mechanics · Physics 2025-10-22 Thibaut Arnoulx de Pirey , Frédéric van Wijland

We investigate emergent dynamics due to non-reciprocity in the $\mathcal{O}(2)$ model. The lattice XY model, where non-reciprocity stems from vision cone like couplings, can be described by a continuum description in which non-reciprocity…

Statistical Mechanics · Physics 2026-03-25 Ylann Rouzaire , Daniel JG Pearce , Ignacio Pagonabarraga , Demian Levis

One of the intrinsic characteristics of far-from-equilibrium systems is the nonrelaxational nature of the system dynamics, which leads to novel properties that cannot be understood and described by conventional pathways based on…

Soft Condensed Matter · Physics 2020-11-25 Zhi-Feng Huang , Andreas M. Menzel , Hartmut Löwen

We derive the stationary probability distribution for a non-equilibrium system composed by an arbitrary number of degrees of freedom that are subject to Gaussian colored noise and a conservative potential. This is based on a…

Statistical Mechanics · Physics 2015-06-01 Claudio Maggi , Umberto Marini Bettolo Marconi , Nicoletta Gnan , Roberto Di Leonardo

Nonreciprocity-the ability to transmit signals in one direction while blocking them in the reverse-has become a powerful resource in quantum technologies, enabling directional amplification, routing of quantum information, and topologically…

Active matter, comprising many active agents interacting and moving in fluids or more complex environments, is a commonly occurring state of matter in biological and physical systems. By its very nature active matter systems exist in…

Soft Condensed Matter · Physics 2021-02-08 Pierre Gaspard , Raymond Kapral

A system-reservoir nonlinear coupling model has been proposed for a situation where the reservoir is nonlinearly driven by an external Gaussian stationary noise which exposes the system particles to a nonequilibrium environment. Apart from…

Statistical Mechanics · Physics 2015-06-05 Anindita Shit , Sudip Chattopadhyay , Suman Kumar Banik , Jyotipratim Ray Chaudhuri

The control of wave propagation, particularly the quest for unidirectional transport, plays an important role in photonics and metamaterial science. While nonreciprocity is known to enable unidirectional amplification and stabilize complex…

Pattern Formation and Solitons · Physics 2025-12-10 Wen-Rong Sun , Jesús Cuevas Maraver

Optical nonreciprocity is the phenomenon where light behaves differently when traveling in the forward direction compared to the backward direction. This nonreciprocal behavior is typically achieved in systems that exhibit electromagnetic…

Optics · Physics 2025-08-19 Dheeraj Pratap
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