Osmotic pressure of compressed lattice knots

Rensburg, E J Janse van

doi:10.1103/physreve.100.012501

Cited by 5 publications

(5 citation statements)

References 44 publications

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“…In view of this, the exponents α u and α t in figure 4 have the same values as in equation (18). By equation ( 9), the crossover exponent in this model is φ = 1.…”

Section: Scaling Around the Multicritical Pointmentioning

confidence: 74%

“…Since the model is symmetric in {c 1 , c 2 }, these results will be the same if instead the λ 2 phase boundary between the empty and c 2 -dominated phases is crossed. Thus, the exponents associated with the λ 2 phase boundary in figure 7 are also given by equation (18).…”

Section: Thementioning

confidence: 99%

“…work on compressed lattice knots show that osmotic pressure for finite length polymers is a function of knotting [18] (see reference [9] for results for linear compressed lattice polymers).…”

Section: Linkmentioning

confidence: 99%

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Phase diagrams of confined square lattice linked polygons

Rensburg

Orlandini

2021

Phys. Rev. E

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The phase diagrams of two models of two confined and dense two dimensional ring polymers are examined numerically. The ring polymers are placed in a cavity, and are either linked or unlinked in the plane. The phase diagrams are found to be a function of the linking of the polymers, and include multicritical points where first order and continuous phase boundaries meet. We estimate numerically the critical exponents associated with the phase boundaries and the multicritical points.

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“…In view of this, the exponents α u and α t in figure 4 have the same values as in equation (18). By equation ( 9), the crossover exponent in this model is φ = 1.…”

Section: Scaling Around the Multicritical Pointmentioning

confidence: 74%

Section: Thementioning

confidence: 99%

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Phase diagrams of confined square lattice linked polygons

Rensburg

Orlandini

2021

Phys. Rev. E

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“…The practices of using indigenous knowledge as an early warning indicators for natural disasters are still widely used [4]. However, the Policy-makers still rely on mitigation strategies based on scientific approaches [5]. But some isolated mountain villagers still survived without any landslide damages with their local knowledge-based adaptations.…”

Section: Introductionmentioning

confidence: 99%

A Study on Local Knowledge in Adaptation to Landslide Disasters in Sri Lanka

Dasanayaka¹,

Matsuda²

2019

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Natural disasters are unforeseen events which occur at hydrologic, geologic, and atmospheric origins. The Policy-makers still rely on mitigation strategies based on scientific approaches. However, many scholars had emphasized the importance of incorporating local knowledge and related practices for disaster risk management. In that context, this study investigates the local knowledge in adaptation to mitigate the landslides disaster situations by studying a village in Sri Lanka which is located at the central region of Sri Lanka which is vulnerable for landslide disasters. Landslides is one of the severe types of disasters in hilly terrains and which cause to loss of lives and property damages especially in Asia region. This study employed the field surveys, questionnaire surveys and semi structured interviews for data collection. The findings of the research indicate how the local knowledge-based practices in settlement layout & planning, landscaping had enhanced disaster adaptation level of the community. Further the local knowledge-based value systems act as a strong mechanism in identifying early signs of landslide disasters. Finally, the paper discusses the possibilities of upscaling such local practices for mainstream disaster management practices.

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“…Osmosis is a natural process through which solvent molecules move via a semi-permeable membrane to a high solute concentration region from the portion with a low solute concentration, until an equal solute concentration on both sides is achieved [ 1 , 2 , 3 , 4 ]. Osmotic pressure is the corresponding pressure required to prevent the net movement of solvent molecules across the semi-permeable membrane, i.e., to nullify the process of osmosis [ 5 , 6 , 7 , 8 , 9 ].…”

Section: Introductionmentioning

confidence: 99%

Osmotic Pressure and Its Biological Implications

Zheng,

Li,

Shao

et al. 2024

IJMS

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Gaining insight into osmotic pressure and its biological implications is pivotal for revealing mechanisms underlying numerous fundamental biological processes across scales and will contribute to the biomedical and pharmaceutical fields. This review aims to provide an overview of the current understanding, focusing on two central issues: (i) how to determine theoretically osmotic pressure and (ii) how osmotic pressure affects important biological activities. More specifically, we discuss the representative theoretical equations and models for different solutions, emphasizing their applicability and limitations, and summarize the effect of osmotic pressure on lipid phase separation, cell division, and differentiation, focusing on the mechanisms underlying the osmotic pressure dependence of these biological processes. We highlight that new theory of osmotic pressure applicable for all experimentally feasible temperatures and solute concentrations needs to be developed, and further studies regarding the role of osmotic pressure in other biological processes should also be carried out to improve our comprehensive and in-depth understanding. Moreover, we point out the importance and challenges of developing techniques for the in vivo measurement of osmotic pressure.

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Osmotic pressure of compressed lattice knots

Cited by 5 publications

References 44 publications

Phase diagrams of confined square lattice linked polygons

Phase diagrams of confined square lattice linked polygons

A Study on Local Knowledge in Adaptation to Landslide Disasters in Sri Lanka

Osmotic Pressure and Its Biological Implications

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