具有远程交互的二维选民模型的订单动力学
Federico Corberi1, Luca Smaldone1
1Dipartimento di Fisica, Università di Salerno, Via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy and INFN Sezione di Napoli, Gruppo Collegato di Salerno, Italy.
Physical review. E
|April 18, 2024
概括
这项研究分析了2D选民模型中的订购动力学,具有远程交互. 基于相互作用强度 (α) 出现不同的制度,影响域增长和共识时间.
科学领域:
- 统计物理 统计物理
- 复杂的系统复杂的系统.
- 基于代理的建模模型
背景情况:
- 选民模型是研究论动态和社会影响力的基本工具.
- 了解交互范围如何影响订单动力学对于现实的建模至关重要.
研究的目的:
- 分析研究二维远程选民模型的订单动力学.
- 根据相互作用指数α来描述不同的动态模式.
- 分析域增长,共识时间和扩展行为.
主要方法:
- 在二维网格上分析选民模型的研究.
- 分析意见动态与长期相互作用的分析 P(r) r^{-α}.
- 对α>4和0<α≤4.4的不同方案的研究.
主要成果:
- 对于α>4,行为类似于近邻模型,具有L(t) sqrt[t]增长和NlnN共识时间,但违反了缩放.
- 对于0<α≤4,观察到标准缩放L(t) t^{1/z},其中1/z取决于α.
- 具有α≤3的系统达到元稳定状态,有限系统的共识发生在O(N) 时间内.
结论:
- 互动范围在2D选民模型中显著改变了订单动力学和缩放行为.
- 对于α>4和0<α≤4存在不同的制度,影响域增长和共识.
- 长距离的相互作用可以导致超稳定状态和修改的共识动态.
相关概念视频
Elimination Kinetics: First-Order and Zero-Order
701
Eliminating drugs from the body is a vital process that occurs through excretion or metabolism. Understanding the kinetics of drug elimination is crucial for drug development, dosage determination, and optimizing patient outcomes.
Drug clearance depends on the rate of drug elimination and its plasma concentration. Another important parameter is a drug's half-life, which is the time required for its concentration to decrease by half. In most cases, drug clearance follows first-order...
Drug clearance depends on the rate of drug elimination and its plasma concentration. Another important parameter is a drug's half-life, which is the time required for its concentration to decrease by half. In most cases, drug clearance follows first-order...
701
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model
66
Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
66
First Law: Particles in Two-dimensional Equilibrium
5.1K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
Newton's first law tells us about...
5.1K
First Law: Particles in One-dimensional Equilibrium
6.9K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
6.9K
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models
69
Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
69
Fundamental Mathematical Principles in Pharmacokinetics: Rate and Order of Reaction
378
In pharmacokinetics, the rates and order of reactions play a crucial role in understanding how the body processes drugs and help us comprehend drug absorption, distribution, metabolism, and elimination. A critical concept in pharmacokinetics is the rate constant, which quantifies the speed of a reaction. It provides valuable information about the kinetics of drug elimination. The rate constant allows us to determine the rate at which drugs are eliminated from the body.
Pharmacokinetic reactions...
Pharmacokinetic reactions...
378


