相关实验视频
Updated: Jul 19, 2025

08:37
Forming, Confining, and Observing Microtubule-Based Active Nematics
Published on: January 13, 2023
2.7K
活性物质的状态方程
Samuel Cameron1, Majid Mosayebi1, Rachel Bennett1
1School of Mathematics, Fry Building, University of Bristol, Bristol BS8 1UG, United Kingdom.
Physical review. E
|August 16, 2023
概括
这项研究分析了二维活性布朗粒子 (ABP),以了解它们的稳定状态. 我们发现,像压力这样的宏观性质可以类似于平衡系统计算,即使在低密度下也是如此.
科学领域:
- 软物质物理学 软物质物理学
- 统计力学 统计力学
- 非平衡系统 非平衡系统
背景情况:
- 活性布朗粒子 (ABP) 是流体中自行实体的基本模型.
- 了解ABP悬浮的集体行为和新兴性质在非平衡统计力学中至关重要.
- 描述稳定状态为这些系统的长期动态和宏观行为提供了洞察力.
研究的目的:
- 描述二维活性布朗粒子悬浮的稳定状态.
- 开发一种方法来计算这些系统中的宏观量.
- 为了研究低粒子密度相互作用的作用.
主要方法:
- 稳定状态概率分布在佩克莱特数中以最低顺序的近似值.
- 对宏观压力和位置定向相关函数的分析表达式的导出.
- 通过广泛的数值模拟验证理论结果.
主要成果:
- 宏观数量可以用近似稳定状态概率分布来计算,类似于平衡系统.
- 对压力和相关函数的分析表达式被导出并验证.
- 多体有效相互作用显著影响系统行为,即使在非常低的密度.
结论:
- 该研究为分析非平衡系统 (如ABP悬浮) 提供了一个框架,使用平衡式方法进行分析.
- 这些发现强调了集体相互作用在确定活性物质宏观性质方面的关键作用.
- 这些结果对于预测和理解各种科学和工程应用中自行推进粒子系统的行为至关重要.
相关概念视频
Equation of State
1.7K
The equation of state is an equation that relates physical quantities, such as pressure, volume, temperature, and the number of moles, of a thermodynamics system with each other. The equation relating physical quantities with each other can be a simple mathematical expression or too complicated to express in mathematical form. In either case, a relationship between physical quantities exists. If the equation of state cannot be expressed in a mathematical form, then experimental data and...
1.7K
Equation of Motion: Center of Mass
173
The equation of motion for a single particle can be expanded to encompass a system of particles consisting of n particles. For any arbitrarily chosen particle within this system, the net force acting upon it is the aggregate of both internal and external forces. Extending this principle to all particles within the system results in the equation of motion for the entire assembly.
Internal forces between any pair of particles manifest as collinear pairs of equal magnitude but opposite directions,...
Internal forces between any pair of particles manifest as collinear pairs of equal magnitude but opposite directions,...
173
Equations of Equilibrium in Three Dimensions
1.2K
When analyzing structures or systems at rest, it is necessary to ensure they are in equilibrium. This is where the vector and scalar equations of equilibrium come into play. These equations are crucial in ensuring a structure is stable and will not collapse or fall apart. The vector and scalar equations of equilibrium provide a framework for analyzing the forces acting on a body.
According to the vector equations of equilibrium, the vector sum of all the external forces acting on a body must...
According to the vector equations of equilibrium, the vector sum of all the external forces acting on a body must...
1.2K
States of Matter
1.3K
Solids, liquids, and gases are the three states of matter commonly found on Earth. A solid is rigid and possesses a definite shape. A liquid flows and takes the shape of its container, except it forms a flat or slightly curved upper surface when acted upon by gravity. Both liquid and solid samples have volumes nearly independent of pressure. A gas takes both the shape and volume of its container.
Scientists have discovered a fourth state of matter, plasma, that occurs naturally in the interiors...
Scientists have discovered a fourth state of matter, plasma, that occurs naturally in the interiors...
1.3K
Equilibrium Conditions for a Particle
1.2K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
1.2K
Dynamic Equilibrium
51.9K
A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...
51.9K

