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The nature of diffusion is usually studied for particles or time-evolving systems. Similar in principle, such studies can be conducted by tracking how a given function of observable properties evolves over time-akin to the evolution of…

Statistical Mechanics · Physics 2026-03-10 M. Süzen

A two-dimensional system of particles with tunable repulsive interactions is experimentally investigated. Soft ferromagnetic particles are placed on a vibrating rough plate and vertically confined, so that they perform a horizontal Brownian…

Soft Condensed Matter · Physics 2015-06-19 Simon Merminod , Michaël Berhanu , Eric Falcon

Anomalous-diffusion, the departure of the spreading dynamics of diffusing particles from the traditional law of Brownian-motion, is a signature feature of a large number of complex soft-matter and biological systems. Anomalous-diffusion…

We present a numerical study of classical particles diffusing on a solid surface. The particles' motion is modeled by an underdamped Langevin equation with ordinary thermal noise. The particle-surface interaction is described by a periodic…

Statistical Mechanics · Physics 2009-11-10 J. M. Sancho , A. M. Lacasta , K. Lindenberg , I. M. Sokolov , A. H. Romero

The emerging diffusive dynamics in many complex systems shows a characteristic crossover behaviour from anomalous to normal diffusion which is otherwise fitted by two independent power-laws. A prominent example for a subdiffusive-diffusive…

Statistical Mechanics · Physics 2018-09-26 D. Molina-Garcia , T. Sandev , H. Safdari , G. Pagnini , A. Chechkin , R. Metzler

We study the Brownian motion of a classical particle in one-dimensional inhomogeneous environments where the transition probabilities follow quasiperiodic or aperiodic distributions. Exploiting an exact correspondence with the…

Statistical Mechanics · Physics 2009-10-31 F. Igloi , L. Turban , H. Rieger

Driven surface diffusion occurs, for example, in molecular beam epitaxy when particles are deposited under an oblique angle. Elastic phase transitions happen when normal modes in crystals become soft due to the vanishing of certain elastic…

Statistical Mechanics · Physics 2015-06-19 Hans-Karl Janssen , Olaf Stenull

We introduce a simple model of deterministic particles in weakly disordered media which exhibits a transition from normal to anomalous diffusion. The model consists of a set of non-interacting overdamped particles moving on a disordered…

Disordered Systems and Neural Networks · Physics 2017-04-26 M. Hidalgo-Soria , R. Salgado-García

A two dimensional self-gravitating Hamiltonian model made by $N$ fully-coupled classical particles exhibits a transition from a collapsing phase (CP) at low energy to a homogeneous phase (HP) at high energy. From a dynamical point of view,…

Statistical Mechanics · Physics 2016-08-31 Mickael Antoni , Alessandro Torcini

We investigate the classicality of linear dipolar droplet arrays through a normal mode analysis of the dynamical properties in comparison to the supersolid regime. The vibrational patterns of isolated-droplet crystals that time-evolve after…

Quantum Gases · Physics 2023-05-03 K. Mukherjee , S. M. Reimann

We propose a stochastic model for intracellular transport processes associated with the activity of molecular motors. This out-of-equilibrium model, based on a generalized Langevin equation, considers a particle immersed in a viscoelastic…

Biological Physics · Physics 2009-04-15 L. Bruno , M. A. Despósito

We study chaotic dynamics and anomalous transport in a Bose-Hubbard chain in the semiclassical regime (the limit when the number of particles goes to infinity). We find that the system has mixed phase space with both regular and chaotic…

Quantum Physics · Physics 2024-04-18 Dragan Marković , Mihailo Čubrović

The interplay between structure and dynamics in non-equilibrium steady-state is far from understood. We address this interplay by tracking Brownian Dynamics trajectories of particles in a binary colloid of opposite charges in an external…

Soft Condensed Matter · Physics 2016-12-08 Suman Dutta , J. Chakrabarti

We consider one-dimensional asymmetric exclusion processes with a simple attractive interaction, where the distance between consecutive particles is not allowed to exceed a certain limit and investigate the consequences of this coupling on…

Disordered Systems and Neural Networks · Physics 2009-11-13 Róbert Juhász

Reaction dynamics involving subdiffusive species is an interesting topic with only few known results, especially when the motion of different species is characterized by different anomalous diffusion exponents. Here we study the reaction…

Soft Condensed Matter · Physics 2009-11-11 S. B. Yuste , Katja Lindenberg

We theoretically study the transport properties of self-propelled particles on complex structures, such as motor proteins on filament networks. A general master equation formalism is developed to investigate the persistent motion of…

Soft Condensed Matter · Physics 2014-09-19 M. Reza Shaebani , Zeinab Sadjadi , Igor M. Sokolov , Heiko Rieger , Ludger Santen

In this work we study the transition from normal to anomalous diffusion of Brownian particles on disordered potentials. The potential model consists of a series of "potential hills" (defined on unit cell of constant length) whose heights…

Disordered Systems and Neural Networks · Physics 2016-03-23 R. Salgado-Garcia

We study the transport properties of particles draining from a silo using imaging and direct particle tracking. The particle displacements show a universal transition from super-diffusion to normal diffusion, as a function of the distance…

Soft Condensed Matter · Physics 2007-05-23 Jaehyuk Choi , A. Kudrolli , R. R. Rosales , Martin Z. Bazant

Particles with repulsive power-law interactions undergo a transition from a single to a double chain (zigzag) by decreasing the confinement in the transverse direction. We theoretically characterize this transition when the particles are…

Quantum Gases · Physics 2015-02-03 Florian Cartarius , Giovanna Morigi , Anna Minguzzi

We present the first molecular dynamics study to probe the mechanisms of anomalous diffusion in cationic surfactant micelles in the presence of explicit salt and solvent-mediated interactions. Simulations show that when the counter ion…

Soft Condensed Matter · Physics 2017-08-02 Subas Dhakal , Radhakrishna Sureshkumar