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The common perception is that strong coupling to the environment will always render the evolution of the system density matrix quasi-classical (in fact, diffusive) in the long time limit. We present here a counter-example, in which a…

Other Condensed Matter · Physics 2007-05-23 Nikolay Prokof'ev , Philip Stamp

High-resolution porous structures of catalyst layer (CL) with multicomponent in proton exchange membrane fuel cells are reconstructed using a reconstruction method called quartet structure generation set. Characterization analyses of…

Fluid Dynamics · Physics 2014-10-09 Li Chen , Gang Wu , Qinjun Kang , Edward F Holby , Wen-Quan Tao

We introduce a symmetric, gradient exclusion process within the class of non-cooperative kinetically constrained lattice gases, modelling a non-linear diffusivity in which the exchange of occupation values between two neighbouring sites…

Probability · Mathematics 2025-04-18 G. S. Nahum

Complex networks are characterized by latent geometries induced by their topology or by the dynamics on the top of them. In the latter case, different network-driven processes induce distinct geometric features that can be captured by…

Physics and Society · Physics 2021-04-07 Giulia Bertagnolli , Manlio De Domenico

We study by extensive numerical simulations the dynamics of a hard-core tracer particle (TP) in presence of two competing types of disorder - frozen convection flows on a square random Manhattan lattice and a crowded dynamical environment…

Disordered Systems and Neural Networks · Physics 2020-06-24 Carlos Mejía-Monasterio , Sergei Nechaev , Gleb Oshanin , Oleg Vasilyev

Using simulations and a simple mean-field theory, we investigate jamming transitions in a two-species lattice gas under non-equilibrium steady-state conditions. The two types of particles diffuse with different mobilities on a square…

Statistical Mechanics · Physics 2009-11-10 R. S. Hipolito , R. K. P. Zia , B. Schmittmann

We study light propagation in a photonic system that shows stepwise evolution in a discretized environment. It resembles a discrete-time version of photonic waveguide arrays or quantum walks. By introducing controlled photon losses to our…

In this paper we present a network model to study the impact of spatial distribution of constituents, coupling between them and diffusive processes in the context of biological situations. The model is in terms of network of mobile elements…

Molecular Networks · Quantitative Biology 2007-05-23 Kanchan Thadani , Ashutosh

Social networks affect the diffusion of information, and thus have the potential to reduce or amplify inequality in access to opportunity. We show empirically that social networks often exhibit a much larger potential for unequal diffusion…

Applications · Statistics 2022-10-21 Eaman Jahani , Dean Eckles , Alex 'Sandy' Pentland

Active cellular transport is a fundamental mechanism for protein and vesicle delivery, cell cycle and molecular degradation. Viruses can hijack the transport system and use it to reach the nucleus. Most transport processes consist of…

Quantitative Methods · Quantitative Biology 2009-11-13 T. Lagache , D. Holcman

We analyze motility-induced phase separation and bubbly phase separation in a two-dimensional lattice model of self-propelled particles. We compare systems where the dense (liquid) phase has slab and droplet geometries. We find that…

Soft Condensed Matter · Physics 2025-03-18 Liheng Yao , Robert L. Jack

We study vacancy diffusion on the classical triangular lattice dimer model, sub ject to the kinetic constraint that dimers can only translate, but not rotate. A single vacancy, i.e. a monomer, in an otherwise fully packed lattice, is always…

Statistical Mechanics · Physics 2009-11-13 Monwhea Jeng , Mark J. Bowick , Werner Krauth , Jennifer Schwarz , Xiangjun Xing

We consider a continuous-time branching random walk on a multidimensional lattice with two types of particles and an infinite number of initial particles. The main results are devoted to the study of the generating function and the limiting…

Probability · Mathematics 2022-03-16 Iu. Makarova , D. Balashova , S. Molchanov , E. Yarovaya

We investigate through molecular dynamics the transition from Knudsen to molecular diffusion transport towards 2d absorbing interfaces with irregular geometry. Our results indicate that the length of the active zone decreases continuously…

Disordered Systems and Neural Networks · Physics 2009-11-10 J. S. Andrade , H. F. da Silva , M. Baquil , B. Sapoval

The increased model capacity of Diffusion Transformers (DiTs) and the demand for generating higher resolutions of images and videos have led to a significant rise in inference latency, impacting real-time performance adversely. While prior…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Xibo Sun , Jiarui Fang , Aoyu Li , Jinzhe Pan

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

Many dense granular systems are non-monodisperse, consisting of particles of different sizes, and will segregate based on size during flow. This phenomenon is an important aspect of many industrial and geophysical processes, necessitating…

Soft Condensed Matter · Physics 2024-05-28 Harkirat Singh , David L. Henann

In this paper, interstitial migration generated by scattering with a mobile breather is investigated numerically in a Frenkel-Kontorova one-dimensional lattice. Consistent with experimental results it is shown that interstitial diffusion is…

Pattern Formation and Solitons · Physics 2015-05-20 J. Cuevas , B. Sanchez-Rey , J. C. Eilbeck , F. M. Russell

Graph is a prevalent discrete data structure, whose generation has wide applications such as drug discovery and circuit design. Diffusion generative models, as an emerging research focus, have been applied to graph generation tasks.…

Machine Learning · Computer Science 2024-11-05 Zhe Xu , Ruizhong Qiu , Yuzhong Chen , Huiyuan Chen , Xiran Fan , Menghai Pan , Zhichen Zeng , Mahashweta Das , Hanghang Tong

It has been suggested recently that growth and division of a protocell could be modeled by a chemically active droplet with simple chemical reactions driven by an external fuel supply. This model is called the continuum model. Indeed it's…

Biological Physics · Physics 2018-12-07 Mohammad Abu Hamed , Alexander A. Nepomnyashchy