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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.
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First Law: Particles in One-dimensional Equilibrium01:10

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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...
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Microtubules are hollow cylindrical filaments having a diameter of approximately 25 nm and a length that varies from 200 nm to 25 μm. GTP-bound tubulin subunits form αβ-heterodimers for microtubule assembly. These core building blocks interact longitudinally, polymerizing into protofilaments. The protofilaments then interact with one another through lateral bonding forces to form stable cylindrical microtubules. These cylindrical filaments are dynamic as they undergo repeated...
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Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
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Fermi Level Dynamics01:12

Fermi Level Dynamics

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The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
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Equilibrium Conditions for a Particle01:23

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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.
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Updated: Oct 30, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Fast dynamics and emergent topological defects in long-range interacting particle systems.

Zhenwei Yao1

  • 1School of Physics and Astronomy, and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, 200240, China. zyao@sjtu.edu.cn.

The European Physical Journal. E, Soft Matter
|July 3, 2021
PubMed
Summary

Long-range interacting systems show unique properties. This study reveals fast dynamics and topological defects in screened Coulomb systems, offering insights into complex physical phenomena.

Keywords:
Classical dynamicsLong-range interacting systemTopological defect

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Area of Science:

  • Physics
  • Complex Systems
  • Statistical Mechanics

Background:

  • Long-range interacting systems display distinct physical properties compared to short-range systems.
  • Understanding these dynamics is crucial for various natural and industrial applications.

Purpose of the Study:

  • To investigate the classical microscopic dynamics of particles with screened Coulomb interactions in a disk.
  • To reveal unique dynamics and emergent statistical regularities driven by long-range interactions.

Main Methods:

  • Classical microscopic dynamics simulations.
  • Analysis of particle interactions within a confined disk geometry.
  • Investigation of screened Coulomb potentials.

Main Results:

  • Observed fast single-particle and collective dynamics.
  • Identified emergent topological defect structures.
  • Demonstrated unique statistical regularities arising from long-range interactions.

Conclusions:

  • The interplay of long-range interactions, topology, and dynamics leads to rich physical phenomena.
  • Findings provide insights into systems with similar interaction potentials and confinement.
  • Highlights the importance of studying non-trivial interactions in physical systems.