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Nature is intrinsically heterogeneous, and remarkable phenomena can only be observed in the presence of intrinsically nonlinear heterogeneities. Spontaneous pattern formation in nature has fascinated humankind for centuries, and the…

Pattern Formation and Solitons · Physics 2025-03-24 Juan F. Marín , Rafael Riveros Ávila , Saliya Coulibaly , Majid Taki , Mónica A. García-Ñustes

We study thermoelectric and viscous contributions to the ratchet effect, i.e. radiation-induced generation of the direct electric current, $J_{\rm rat},$ in asymmetric dual-grating gate structure without inversion center. Previously…

Mesoscale and Nanoscale Physics · Physics 2024-05-17 S. O. Potashin , L. E. Golub , V. Yu. Kachorovskii

Redundancy in biology may be explained by the need to optimize extreme searching processes, where one or few among many particles are requested to reach the target like in human fertilization. We show that non-Gaussian rare fluctuations in…

Chaotic internal degrees of freedom of a molecule can act as noise and affect the diffusion of the molecule on a substrate. A separation of time scales between the fast internal dynamics and the slow motion of the centre of mass on the…

Chaotic Dynamics · Physics 2011-07-14 Astrid S. de Wijn , Annalisa Fasolino

A new non-conservative stochastic reaction-diffusion system in which two families of random walks in two adjacent domains interact near the interface is introduced and studied in this paper. Such a system can be used to model the transport…

Probability · Mathematics 2021-01-12 Zhen-Qing Chen , Wai-Tong Louis Fan

The efficiency of a Brownian particle moving in periodic potential in the presence of asymmetric unbiased fluctuations is investigated. We found that there is a regime where the efficiency can be a peaked function of temperature, which…

Biological Physics · Physics 2007-05-23 Bao-Quan Ai , Xian-Ju Wang , Guo-Tao Liu , De-Hua Wen , Hui-Zhang Xie , Wei Chen , Liang-Gang Liu

In this work we show that under specific anomalous diffusion conditions, chemical systems can produce well-ordered self-similar concentration patterns through a diffusion-driven instability. We also find spiral patterns and patterns with…

Pattern Formation and Solitons · Physics 2017-02-22 D. Hernández , E. C. Herrera-Hernández , M. Núñez-López , H. Hernández-Coronado

Normal diffusion in corrugated potentials with spatially uncorrelated Gaussian energy disorder famously explains the origin of non-Arrhenius $\exp[-\sigma^2/(k_BT^2)]$ temperature-dependence in disordered systems. Here we show that unbiased…

Statistical Mechanics · Physics 2014-09-24 Igor Goychuk , V. O. Kharchenko

We investigate the Brownian diffusion of particles in one spatial dimension and in the presence of finite regions within which particles can either evaporate or be reset to a given location. For open boundary conditions, we highlight the…

Statistical Mechanics · Physics 2020-11-04 Gennaro Tucci , Andrea Gambassi , Shamik Gupta , Édgar Roldán

This study examines the dynamics of a tracer particle diffusing in a nonequilibrium medium under stochastic resetting. The nonequilibrium state is induced by harmonic coupling between the tracer and bath particles, generating memory effects…

Statistical Mechanics · Physics 2025-02-04 Koushik Goswami

Self-organization, the ability of a system of microscopically interacting entities to shape macroscopically ordered structures, is ubiquitous in Nature. Spatio-temporal patterns are abundantly observed in a large plethora of applications,…

Pattern Formation and Solitons · Physics 2019-06-17 Malbor Asllani , Timoteo Carletti , Duccio Fanelli , Philip K. Maini

Time modulation opens new avenues for light, heat control, and energy harvesting, yet the impact of nonequilibrium dynamics of microscopic particles remains largely unexplored. We develop a microscopic theory to describe radiative heat…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Hui Pan , Yuhua Ren , Gaomin Tang , Jian-Sheng Wang

We discuss diffusion of particles in a spatially inhomogeneous medium. From the microscopic viewpoint we consider independent particles randomly evolving on a lattice. We show that the reversibility condition has a discrete geometric…

Statistical Mechanics · Physics 2018-11-14 Daniele Andreucci , Emilio N. M. Cirillo , Matteo Colangeli , Davide Gabrielli

In the presence of an obstacle, active particles condensate into a surface "wetting" layer due to persistent motion. If the obstacle is asymmetric, a rectification current arises in addition to wetting. Asymmetric geometries are therefore…

Soft Condensed Matter · Physics 2023-06-06 Mauricio Rojas-Vega , Pablo de Castro , Rodrigo Soto

Recent studies of two-dimensional poly-disperse disc systems revealed a coordinated self-organisation of cell stresses and shapes, with certain distributions collapsing onto a master form for many processes, size distributions, friction…

Soft Condensed Matter · Physics 2025-08-26 Dominik Krengel , Haoran Jiang , Takashi Matsushima , Raphael Blumenfeld

Self-organization is the generation of order out of local interactions in non-equilibrium [1]. It is deeply connected to all fields of science from physics, chemistry to biology where functional living structures self-assemble[2] and…

Soft Condensed Matter · Physics 2018-10-24 Utsab Khadka , Viktor Holubec , Haw Yang , Frank Cichos

In a previous paper we showed that an inhomogeneous body in vacuum will experience a spontaneous force if it is not in thermal equilibrium with its environment. This is due to the asymmetric asymptotic radiation pattern such an object…

Quantum Physics · Physics 2025-03-06 Kimball A. Milton , Nima Pourtolami , Gerard Kennedy

We show that the transition from Gaussian to the q-Gaussian distributions occurring in atomic transport in dissipative optical lattices can be interpreted as self-organization by recourse to a modified version of Klimontovich's S-theorem.…

Statistical Mechanics · Physics 2015-05-13 G. Baris Bagci , Ugur Tirnakli

The emergence of global order in complex systems with locally interacting components is most striking at criticality, where small changes in control parameters result in a sudden global re-organization. We introduce a measure of…

Statistical Mechanics · Physics 2020-10-02 Ramil Nigmatullin , Mikhail Prokopenko

Due to disparate formation mechanisms, as for central hot-spot ignition and fast ignition, the initial temperatures of electron and ions usually differs from each other in the hot spot. Considering the percipient dependence of fusion…

Plasma Physics · Physics 2024-03-21 X. -Y. Fu , Z. -Y. Guo , Q. -H. Wang , R. -C. Wang , D. Wu , J. Zhang