Related Experiment Video
Updated: Mar 9, 2026
08:10
Building Langmuir Probes and Emissive Probes for Plasma Potential Measurements in Low Pressure, Low Temperature Plasmas
Published on: May 25, 2021
5.9K
The modified Langevin description for probes in a nonlinear medium
Matthias Krüger1, Christian Maes
14th Institute for Theoretical Physics, Universität Stuttgart, Stuttgart, Germany. Max Planck Institute for Intelligent Systems, Stuttgart, Germany.
Journal of Physics. Condensed Matter : an Institute of Physics Journal
|December 22, 2016
Summary
This study introduces nonlinear stochastic dynamics for probes strongly disturbing solvent thermal equilibrium. It reveals a new timescale and non-dissipative terms, crucial for understanding colloid motion in complex media.
Area of Science:
- Statistical Mechanics
- Soft Matter Physics
- Physical Chemistry
Background:
- Probe motion can disrupt solvent thermal equilibrium.
- Nonlinear solvent responses are critical when equilibrium is disturbed.
Purpose of the Study:
- Derive induced stochastic dynamics for a probe interacting with its solvent.
- Analyze the implications of nonlinear solvent response on probe evolution.
- Introduce a novel timescale related to solvent dynamical activity.
Main Methods:
- Second-order response theory around thermal equilibrium.
- Derivation of a nonlinear generalized Langevin equation.
Main Results:
- Identified a new, non-purely dissipative term in the probe's evolution equation.
- Revealed a novel timescale associated with solvent dynamical changes.
- Developed a framework applicable to colloid dynamics in viscoelastic media.
Conclusions:
- Nonlinear solvent dynamics significantly alter probe evolution.
- The derived generalized Langevin equation provides new insights into probe-solvent interactions.
- This framework is vital for studying complex systems like colloids in viscoelastic environments.
More Related Videos
Related Concept Videos
01:28Debye–Huckel–Onsager Conductance Equation
48
The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect.
48
02:32The de Broglie Wavelength
34.2K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
34.2K
01:26Linear Approximation in Frequency Domain
412
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
412
01:08Spin–Spin Coupling Constant: Overview
1.6K
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
1.6K