一个单维系统的不平衡相位过渡以两种不同的方式达到吸收状态
1Department of Physics, University of Amran, Amran, Yemen. masali73@gmail.com.
Scientific reports
|December 6, 2023
概括
这项研究研究了疾病传播模型,揭示了阶段过渡的两个关键值. 一个过渡与定向透保持一致,而另一个则表明不连续的相变.
科学领域:
- 统计物理 统计物理
- 复杂的系统复杂的系统.
- 流行病学建模 流行病学建模
背景情况:
- 对于复杂的系统来说,了解不平衡阶段过渡至关重要.
- 易受感染-耐火-易受感染 (SIRS) 模型模拟了疾病动态.
- 之前的研究在类似的模型中发现了关键值.
研究的目的:
- 在1D网格上分析SIRS模型中的非平衡阶段过渡.
- 描述在两个不同的临界值处相变的性质.
- 确定过渡是否属于已知的普遍性类.
主要方法:
- 使用蒙特卡洛模拟来建模SIRS动态.
- 在不同的感染概率下研究了系统的行为 ().
- 采用顺序参数准静态概率分布和有限大小分析.
主要成果:
- 确定了两个分离活性和吸收阶段的关键值.
- 第一个临界值 ([公式:见文本]) 表示定向透 (DP) 类的相变.
- 第二个关键值 ([公式:见文本]) 表明一个不连续的相位过渡,对初始条件敏感.
结论:
- 在1D网格上的SIRS模型表现出复杂的相位过渡行为.
- 这些发现有助于理解不平衡系统中的普遍性类.
- 该研究强调了不同参数值的相变的独特性质.
相关概念视频
Phase Transitions
19.1K
Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
19.1K
Phase Transitions: Sublimation and Deposition
17.2K
Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
17.2K
Phase Transitions: Melting and Freezing
12.4K
Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
12.4K
Dynamic Equilibrium
51.7K
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;...
51.7K
Phase Changes
4.3K
Phase transitions play an important theoretical and practical role in the study of heat flow. In melting or fusion, a solid turns into a liquid; the opposite process is freezing. In evaporation, a liquid turns into a gas; the opposite process is condensation.
A substance melts or freezes at a temperature called its melting point and boils or condenses at its boiling point. These temperatures depend on pressure. High pressure favors the denser form of the substance, so typically, high pressure...
A substance melts or freezes at a temperature called its melting point and boils or condenses at its boiling point. These temperatures depend on pressure. High pressure favors the denser form of the substance, so typically, high pressure...
4.3K
States of Matter and Phase Changes
962
The internal energy of a substance—the total kinetic energy of all its molecules and the potential energy of their associated forces—depends on the strength of the intermolecular forces in the condensed phases and the pressure exerted on the substance. The internal energy of a substance is the highest in the gaseous state, the lowest in the solid state, and intermediate in the liquid state. Phase transitions are caused by changes in physical conditions, such as temperature and...
962


