We study packings of hard spheres on lattices. The partition function, and therefore the pressure, may be written solely in terms of the accessible free volume, i.e., the volume of space that a sphere can explore without touching another sphere. We compute these free volumes using a leaky cell model, in which the accessible space accounts for the possibility that spheres may escape from the local cage of lattice neighbors. We describe how elementary geometry may be used to calculate the free volume exactly for this leaky cell model in two- and three-dimensional lattice packings and compare the results to the well-known Carnahan-Starling and Percus-Yevick liquid models. We provide formulas for the free volumes of various lattices and use the common tangent construction to identify several phase transitions between them in the leaky cell regime, indicating the possibility of coexistence in crystalline materials.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1063/5.0037442 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Intestinal Barrier Function Declines During Polycystic Kidney Disease Progression.
Am J Physiol Renal Physiol
December 2024
Section of Cardio-Renal Physiology and Medicine, Division of Nephrology, Department of Medicine, University of Alabama at Birmingham, Birmingham, AL, United States.
Most patients with autosomal dominant polycystic kidney disease (ADPKD) develop kidney cysts due to germline mutations. In the kidney, loss impairs epithelial cell integrity and increases macrophage infiltration, contributing to cyst growth. Despite its role as the body's largest inflammatory cell reservoir, it has yet to be elucidated whether a similar phenotype presents in the intestines.
View Article and Find Full Text PDFConditional ablation of MCU exacerbated cardiac pathology in a genetic arrhythmic model of CPVT.
J Mol Cell Cardiol Plus
December 2024
Department of Biological Sciences, Mississippi State University, Starkville, MS 39762, USA.
Background: Catecholaminergic polymorphic ventricular tachycardia (CPVT) is a genetic arrhythmic syndrome caused by mutations in the calcium (Ca) release channel ryanodine receptor (RyR2) and its accessory proteins. These mutations make the channel leaky, resulting in Ca-dependent arrhythmias. Besides arrhythmias, CPVT hearts typically lack structural cardiac remodeling, a characteristic often observed in other cardiac conditions (heart failure, prediabetes) also marked by RyR2 leak.
View Article and Find Full Text PDFRole of inducible nitric oxide (iNOS) and nitrosative stress in regulating sex differences in secondary lymphedema.
Front Physiol
December 2024
Plastic and Reconstructive Surgery, Department of Surgery, Memorial Sloan Kettering Cancer Center, New York, NY, United States.
Secondary lymphedema is a common complication following surgical treatment of solid tumors. Although more prevalent in women due to higher breast cancer rates, men also develop lymphedema, often with more severe manifestations. Despite these differences in clinical presentation, the cellular mechanisms underlying sex differences are poorly understood.
View Article and Find Full Text PDFInsights into the transcriptomic heterogeneity of brain endothelial cells in normal aging and Alzheimer's disease.
Neural Regen Res
December 2024
State Key Laboratory of Quality Research in Chinese Medicine, Institute of Chinese Medical Sciences, University of Macau, Macao Special Administrative Region, China.
Drug development for Alzheimer's disease Is extremely challenging, as demonstrated by the repeated failures of amyloid-β-targeted therapeutics and the controversies surrounding the amyloid-β cascade hypothesis. More recently, advances in the development of Lecanemab, an anti-amyloid-β monoclonal antibody, have shown positive results in reducing brain A burden and slowing cognitive decline in patients with early- stage Alzheimer's disease in the Phase III clinical trial (Clarity Alzheimer's disease). Despite these promising results, side effects such as amyloid-related imaging abnormalities (ARIA) may limit its usage.
View Article and Find Full Text PDFTowards Clinical Application: Calcium Waves for In Vitro Qualitative Assessment of Propagated Primary Human Corneal Endothelial Cells.
Cells
December 2024
Tissue Engineering and Cell Therapy Group, Singapore Eye Research Institute, Singapore 169856, Singapore.
Corneal endothelium cells (CECs) regulate corneal hydration between the leaky barrier of the corneal endothelium and the ionic pumps on the surface of CECs. As CECs do not regenerate, loss of CECs leads to poor vision and corneal blindness. Corneal transplant is the only treatment option; however, there is a severe shortage of donor corneas globally.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!