We extend the paradigmatic and versatile TASEP (Totally Asymmetric Simple Exclusion Process) for stochastic 1d transport to allow for two different particle species, each having specific entry and exit rates. We offer a complete mean-field analysis, including a phase diagram, by mapping this model onto an effective one-species TASEP. Stochastic simulations confirm the results, but indicate deviations when the particle species have very different exit rates. We illustrate that this is due to a phenomenon of intermittency, and formulate a refined 'intermittent' mean-field (iMF) theory for this regime. We discuss how non-stationary effects may further enrich the phenomenology.

We propose a novel model for a glass-forming liquid which allows to switch in a continuous manner froma standard three-dimensional liquid to a fully connected mean-field model. This is achieved by introducingk additional particle-particle interactions which thus augments the effective number of neighbors of eachparticle. Our computer simulations of this system show that the structure of the liquid does not changewith the introduction of these pseudo neighbours and by means of analytical calculations, we determine thestructural properties related to these additional neighbors. We show that the relaxation dynamics of thesystem slows down very quickly with increasing k and that the onset and the mode-coupling temperaturesincrease. The systems with high values of k follow the MCT power law behaviour for a larger temperaturerange compared to the ones with lower values of k. The dynamic susceptibility indicates that the dynamicheterogeneity decreases with increasing k whereas the non-Gaussian parameter is independent of it. Thus weconclude that with the increase in the number of pseudo neighbours the system becomes more mean-field like.By comparing our results with previous studies on mean-field like system we come to the conclusion that thedetails of how the mean-field limit is approached are important since they can lead to different dynamicalbehavior in this limit.

We numerically study the relaxation dynamics and associated criticality of non-Brownian frictionless spheres below jamming in spatial dimensions $d=2$, $3$, $4$, and $8$, and in the mean-field Mari-Kurchan model. We discover non-trivial finite-size and volume fraction dependences of the relaxation time associated to the relaxation of unjammed packings. In particular, the relaxation time is shown to diverge logarithmically with system size at any density below jamming, and no critical exponent can characterise its behaviour approaching jamming. In mean-field, the relaxation time is instead well-defined: it diverges at jamming with a critical exponent that we determine numerically and differs from an earlier mean-field prediction. We rationalise the finite $d$ logarithmic divergence using an extreme-value statistics argument in which the relaxation time is dominated by the most connected region of the system. The same argument shows that the earlier proposition that relaxation dynamics and shear viscosity are directly related breaks down in large systems. The shear viscosity of non-Brownian packings is well-defined in all $d$ in the thermodynamic limit, but large finite-size effects plague its measurement close to jamming.

Wetlands conservation and resilience capacities are key issues in many places over the globe. Understanding these issues will benefit from a precise knowledge of seagrass species occupancy and coverage over time and over space. Such information can be obtained from remote sensing images and their classification thanks to a vegetation index, to be used in a complementary manner to field work inventories. Sentinel-2 data, which are available with a frequent revisit time (<5 days) and a high spatial resolution (10m pixel size) can be used to map grassbeds at the surface or slightly below the surface of permanent lagoons, hence enabling the characterization of its seasonal dynamics, which was not possible with previous remote-sensing tools. We have proved the feasibility of such a method in the natural reserve of the Bagnas (Herault, France) where Stuckenia pectinata coverage can be tracked over a full year thanks to Sentinel-2 images and field work. Inter-annual dynamics (seasonal growth and senescence) can be mapped over time with 10m resolution and will be extended to pluriannual studies thanks to the long-term objective of the Sentinel-2 mission. This opens the way to a concerted management of natural reserves based on data analysis and field knowledge, a better understanding of seagrass coverage with fluctuating environmental conditions, and predictive mechanistic and/or stochastic models of future qualitative trends.

Using cyclic shear to drive a two dimensional granular system, we determine the structural char-acteristics for different inter-particle friction coefficients. These characteristics are the result of acompetition between mechanical stability and entropy, with the latter’s effect increasing with fric-tion. We show that a parameter-free maximum-entropy argument alone predicts an exponential cell order distribution, with excellent agreement with the experimental observation. We show thatfriction only tunes the mean cell order and, consequently, the exponential decay rate and the pack-ing fraction. We further show that cells, which can be very large in such systems, are short-lived,implying that our systems are liquid-like rather than glassy..