Related Experiment Video
Updated: Jul 11, 2026
09:12
Three Laboratory Procedures for Assessing Different Manifestations of Impulsivity in Rats
Published on: March 17, 2019
Arrival time distribution for a driven system containing quenched dichotomous disorder
S I Denisov1, M Kostur, E S Denisova
1Institut für Physik, Universität Augsburg, Universitätsstrasse 1, D-86135 Augsburg, Germany.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 13, 2007
Summary
We analyzed particle arrival times in a random potential, finding specific scaling properties for central moments. This helps understand deviations from normal distributions in complex systems.
Area of Science:
- Statistical Physics
- Nonlinear Dynamics
- Condensed Matter Physics
Background:
- Understanding particle transport in disordered systems is crucial for various scientific fields.
- The arrival time distribution provides key insights into transport dynamics.
Purpose of the Study:
- To investigate the arrival time distribution of overdamped particles in a piecewise linear random potential.
- To analyze the impact of dichotomous random forces on particle transport.
Main Methods:
- Utilizing path integral representation for the probability density of arrival time.
- Explicitly calculating the path integral for a dichotomous disorder case.
- Deriving properties from the characteristic function.
Main Results:
- Established scaling properties of central moments for arrival time distribution.
- Analyzed probability density behavior across short, long, and intermediate distances.
- Quantified deviations from Gaussian distribution using skewness and kurtosis.
Conclusions:
- The study provides a detailed characterization of arrival time distributions in complex random potentials.
- The findings offer insights into non-Gaussian transport phenomena.
- The methodology can be extended to other disordered systems.
Related Concept Videos
01:09Poisson Probability Distribution
A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages.
The...
The...
01:32Probability Distributions
The probability of a random variable x is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson probability...
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson probability...
01:07Time-Domain Interpretation of PD Control
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
Consider the example of control of motor torque. Initially, a positive...
01:14Pharmacodynamic Models: Link Model and Systems Pharmacodynamic Model
The link model is a fundamental pharmacokinetic-pharmacodynamic (PK–PD) approach to account for delayed drug responses when the observed effect does not immediately correlate with the drug's plasma concentration peak. This delay is mathematically addressed by introducing an effect compartment concentration, Ce, which is kinetically linked to the plasma concentration, Cp, via a first-order rate constant, ke0. The linkage allows for a more accurate prediction of drug effects over time. A higher...
01:31Classification of Systems-II
Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,
01:25Multimachine Stability
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by: