Marginally jammed states of hard disks in a one-dimensional channel

Zhang, Yuxiao; Godfrey, Michael; Moore, M. A.

doi:10.1103/physreve.102.042614

Cited by 17 publications

(8 citation statements)

References 46 publications

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“…In the limit H / σ → 1, the system approaches the strict one-dimensional hard rod system and the distribution of jammed states collapses to a single jammed state. When the discs can touch their next nearest neighbours which leads to a more complex jamming landscape, 43 including unusual asymptotically crystalline states, 44 where many of these packings are not isostatic and it is not known if the system is described by the Edwards ensemble.…”

Section: Application To a Simple Modelmentioning

confidence: 99%

Is there a granular potential?

Zarif

Bowles

2023

Soft Matter

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Section: Application To a Simple Modelmentioning

confidence: 99%

Is there a granular potential?

Zarif

Bowles

2023

Soft Matter

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“…The dual ensemble where occupied sites are isolated is simply obtained from the present one by changing M to N − M , and ρ to 1 − ρ. These two ensembles have already been considered in several contexts, including the attractors of repulsion processes [56] and packings of disks in narrow channels [57,58].…”

Section: Isolated Empty Sitesmentioning

confidence: 99%

A renewal approach to configurational entropy in one dimension

Krapivsky¹,

Luck²

2023

Preprint

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We introduce a novel approach, inspired from the theory of renewal processes, to determine the configurational entropy of ensembles of constrained configurations of particles on the one-dimensional lattice. The proposed method can deal with all local rules involving only the lengths of clusters of occupied and empty sites. Within this scope, this method is both more systematic and easier to implement than the transfer-matrix approach. It is illustrated in detail on the k-mer deposition model and on ensembles of trapped Rydberg atoms with blockade range b.

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“…Hence, for λ < 1 the system falls into a jammed state-a nonequilibrium stationary state, with a structure depending on initial conditions, e.g., Refs. [61,62]. Additionally, in our systems monomers vanish in the JSs (see Supplemental Material [59]).…”

mentioning

confidence: 94%

Nonextensive Supercluster States in Aggregation with Fragmentation

2021

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Systems evolving through aggregation and fragmentation may possess an intriguing supercluster state (SCS). Clusters constituting this state are mostly very large, so the SCS resembles a gelling state, but the formation of the SCS is controlled by fluctuations and in this aspect, it is similar to a critical state. The SCS is nonextensive, that is, the number of clusters varies sublinearly with the system size. In the parameter space, the SCS separates equilibrium and jamming (extensive) states. The conventional methods, such as, e.g., the van Kampen expansion, fail to describe the SCS. To characterize the SCS we propose a scaling approach with a set of critical exponents. Our theoretical findings are in good agreement with numerical results.

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Marginally jammed states of hard disks in a one-dimensional channel

Cited by 17 publications

References 46 publications

Is there a granular potential?

Is there a granular potential?

A renewal approach to configurational entropy in one dimension

Nonextensive Supercluster States in Aggregation with Fragmentation

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