Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Atomic Nuclei: Nuclear Spin State Population Distribution

Atomic Nuclei: Nuclear Spin State Population Distribution

Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.

Noncompartmental Analysis: Mean Residence Time

Noncompartmental Analysis: Mean Residence Time

According to statistical moment theory, mean residence time (MRT) is an important measure in pharmacokinetics. MRT can be defined as the expected mean of a probability density function distribution. It provides valuable insights into drug disposition in the body.
After the administration of a drug through intravenous bolus injection, the drug molecules are distributed throughout the body and remain there for varying periods. The MRT represents the average time these drug molecules stay in the...

Mass Analyzers: Common Types

Mass Analyzers: Common Types

The quadrupole mass analyzer consists of four cylindrical metal rods arranged in a diamond carrying a DC voltage and a radio-frequency AC voltage. The motion of ions through the quadrupole depends on the field strength, causing only ions of a certain m/z to resonate successfully and strike the detector at a given field strength. Though the transmission rate for these analyzers is high, the exact elemental composition of the sample is not determined because of low resolution; however, they are...

Atomic Nuclei: Types of Nuclear Relaxation

Atomic Nuclei: Types of Nuclear Relaxation

Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers energy to a nearby...

Mean free path and Mean free time

Mean free path and Mean free time

Consider the gas molecules in a cylinder. They move in a random motion as they collide with each other and change speed and direction. The average of all the path lengths between collisions is known as the "mean free path."

Quantitative Aspects of Drug-Receptor Interaction

Quantitative Aspects of Drug-Receptor Interaction

The receptor occupancy theory connects a drug's response to the number of occupied receptors. With higher drug concentrations, more receptors are occupied, leading to increased responses. The formation of drug-receptor complexes involves association and dissociation rates, which reach equilibrium when the forward and backward reactions are equal. The equilibrium association constant (Ka) and its inverse, the equilibrium dissociation constant (Kd), indicate drug affinity. Higher Ka and lower Kd...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Ergodic properties of Brownian motion under stochastic resetting.

Physical review. E·2024

Same author

Restart Expedites Quantum Walk Hitting Times.

Physical review letters·2023

Same author

Measurement-induced quantum walks.

Physical review. E·2022

Same author

Cusp of Non-Gaussian Density of Particles for a Diffusing Diffusivity Model.

Entropy (Basel, Switzerland)·2021

Same author

Hitchhiker model for Laplace diffusion processes.

Physical review. E·2020

Same author

Infinite ergodic theory for heterogeneous diffusion processes.

Physical review. E·2019

Search research articles

Related Experiment Video

Updated: Jul 13, 2026

Optical Trap Loading of Dielectric Microparticles In Air

Optical Trap Loading of Dielectric Microparticles In Air

Published on: February 5, 2017

Occupation time statistics in the quenched trap model.

S Burov¹, E Barkai

¹Department of Physics, Bar Ilan University, Ramat-Gan 52900, Israel.

Physical Review Letters

|August 7, 2007

Summary

We studied random walks with energy traps, finding a switch from Boltzmann to Lamperti statistics based on trap distribution width. This impacts understanding single particle experiments.

Area of Science:

Statistical Mechanics
Condensed Matter Physics
Physical Chemistry

Background:

Understanding particle behavior in complex energy landscapes is crucial.
Quenched disorder and deterministic fields significantly alter particle dynamics.
Occupation time distributions reveal fundamental properties of random processes.

Purpose of the Study:

To investigate the occupation time distribution of a particle in a random walk.
To analyze the influence of random energy traps and deterministic potentials.
To identify statistical transitions under varying trap distributions.

Main Methods:

Theoretical analysis of a particle undergoing a random walk.
Modeling random energy traps with an exponential distribution.

More Related Videos

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Published on: August 17, 2017

Optical Trapping of Nanoparticles

Optical Trapping of Nanoparticles

Published on: January 15, 2013

Related Experiment Videos

Last Updated: Jul 13, 2026

Optical Trap Loading of Dielectric Microparticles In Air

Optical Trap Loading of Dielectric Microparticles In Air

Published on: February 5, 2017

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Published on: August 17, 2017

Optical Trapping of Nanoparticles

Optical Trapping of Nanoparticles

Published on: January 15, 2013

Investigating systems in thermal equilibrium.

Analyzing the transition between different statistical distributions.

Main Results:

A transition in statistics was observed based on the width of the exponential energy trap distribution (T(g)).
The system exhibits Boltzmann statistics when T > T(g).
The system exhibits Lamperti statistics when T < T(g).

Conclusions:

The findings reveal a fundamental statistical transition in disordered systems.
The results are applicable to various models of quenched disorder.
The study provides insights into implications for single particle experiments.