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Related papers: Finite-range viscoelastic subdiffusion in disorder…

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Viscoelastic subdiffusion governed by a fractional Langevin equation is studied numerically in a random Gaussian environment modeled by stationary Gaussian potentials with decaying spatial correlations. This anomalous diffusion is…

Statistical Mechanics · Physics 2018-11-12 Igor Goychuk

In living cells, intrinsically disordered proteins (IDPs), such as FUS and DDX4, undergo phase separation, forming biomolecular condensates. Using molecular dynamics simulations, we investigate their behavior in their respective homogenous…

Soft Condensed Matter · Physics 2025-11-04 Fuga Watanabe , Takuma Akimoto , Robert B. Best , Kresten Lindorff-Larsen , Ralf Metzler , Eiji Yamamoto

Recent advances in single particle tracking and supercomputing techniques demonstrate the emergence of normal or anomalous, viscoelastic diffusion in conjunction with non-Gaussian distributions in soft, biological, and active matter…

Statistical Mechanics · Physics 2018-01-23 Jakub Ślęzak , Ralf Metzler , Marcin Magdziarz

The passive and active motion of micron-sized tracer particles in crowded liquids and inside living biological cells is ubiquitously characterised by "viscoelastic" anomalous diffusion, in which the increments of the motion feature…

Statistical Mechanics · Physics 2020-05-05 Wei Wang , Flavio Seno , Igor M. Sokolov , Aleksei V. Chechkin , Ralf Metzler

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

The main goal of this work is to clarify and quantify, by means of mathematical analysis, the role of structural viscoelasticity in the biomechanical response of deformable porous media with incompressible constituents to sudden changes in…

Analysis of PDEs · Mathematics 2017-10-03 Maurizio Verri , Giovanna Guidoboni , Lorena Bociu , Riccardo Sacco

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

Anomalous diffusion often arises in complex environments where viscoelastic or crowded conditions influence particle motion. In many biological and soft-matter systems, distinct components of the medium exhibit unique viscoelastic…

Soft Condensed Matter · Physics 2026-01-05 Chan Lim , Jae-Hyung Jeon

Subdiffusion is a hallmark of complex systems, ranging from protein folding to transport in viscoelastic media. However, despite its pervasiveness, the mechanistic origins of subdiffusion remain contested. Here, we analyze both Markovian…

Soft Condensed Matter · Physics 2025-06-04 Anton Klimek , Benjamin A. Dalton , Roland R. Netz

We study viscoelastic subdiffusion in bistable and periodic potentials within the Generalized Langevin Equation approach. Our results justify the (ultra)slow fluctuating rate view of the corresponding bistable non-Markovian dynamics which…

Soft Condensed Matter · Physics 2010-03-11 Igor Goychuk

Diffusion in cell membranes is not just simple two-dimensional Brownian motion, but typically depends on the timescale of the observation. The physical origins of this anomalous sub-diffusion are unresolved, and model systems capable of…

Biological Physics · Physics 2017-10-25 H. L. E. Coker , M. R. Cheetham , D. R. Kattnig , Y. J. Wang , S. Garcia-Manyes , M. I. Wallace

We use coarse grained molecular dynamics simulations to investigate diffusion properties of sheared lipid membranes with embedded transmembrane proteins. In membranes without proteins, we find normal in-plane diffusion of lipids in all flow…

Biological Physics · Physics 2013-09-10 Atefeh Khoshnood , Mir Abbas Jalali

In cell membranes, proteins and lipids diffuse in a highly crowded and heterogeneous landscape, where aggregates and dense domains of proteins or lipids obstruct the path of diffusing molecules. In general, hindered motion gives rise to…

Soft Condensed Matter · Physics 2010-06-16 Margaret R. Horton , Felix Höfling , Joachim O. Rädler , Thomas Franosch

Combining extensive single particle tracking microscopy data of endogenous lipid granules in living fission yeast cells with analytical results we show evidence for anomalous diffusion and weak ergodicity breaking. Namely we demonstrate…

Sub-diffusion in biological systems is conventionally treated as anomalous, requiring fractional derivatives, heavy-tailed waiting times, or fitted memory kernels. We argue that this anomaly is an artifact of an incomplete phase space.…

Statistical Mechanics · Physics 2026-05-19 Patrick BarAvi

In this work lipid ordering phase changes arising in planar membrane bilayers is investigated both accounting for elas- ticity alone and for effective viscoelastic response of such assemblies. The mechanical response of such membranes is…

Soft Condensed Matter · Physics 2015-10-16 L. Deseri , P. Pollaci , M. Zingales , K. Dayal

Wang et al. [PNAS 106 (2009) 15160] have found that in several systems the linear time dependence of the mean-square displacement (MSD) of diffusing colloidal particles, typical of normal diffusion, is accompanied by a non-Gaussian…

Statistical Mechanics · Physics 2015-06-19 Mykyta V. Chubynsky , Gary W. Slater

A vertically shaken granular medium hosts a blade rotating around a fixed vertical axis, which acts as a mesorheological probe. At high densities, independently from the shaking intensity, the blade's dynamics show strong caging effects,…

Soft Condensed Matter · Physics 2015-05-19 Camille Scalliet , Andrea Gnoli , Andrea Puglisi , Angelo Vulpiani

Spatiotemporal disorder has been recently associated to the occurrence of anomalous nonergodic diffusion of molecular components in biological systems, but the underlying microscopic mechanism is still unclear. We introduce a model in which…

Statistical Mechanics · Physics 2017-03-15 C. Charalambous , G. Muñoz-Gil , A. Celi , M. F. Garcia-Parajo , M. Lewenstein , C. Manzo , M. A. García-March

In this paper we study the acoustic properties of porous media saturated by an incompressible viscoelastic fluid. The model considered here consists of a linear deformable porous skeleton having memory that is surrounded by a viscoelastic…

Analysis of PDEs · Mathematics 2016-03-03 Jean Louis Woukeng
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