Related Experiment Video
Updated: Feb 22, 2026
08:44
Dynamic Clamp Methods to Investigate Impaired Neuronal Excitability Associated with Autism
Published on: October 17, 2025
739
Preisach models of hysteresis driven by Markovian input processes
Sven Schubert1, Günter Radons1
1Institute of Physics, Chemnitz University of Technology, D-09107 Chemnitz, Germany.
Physical Review. E
|September 28, 2017
Summary
Preisach models of hysteresis exhibit long-term memory and 1/f noise even with correlated inputs. Analytical expressions for autocorrelation and power spectral densities remain valid, highlighting the importance of effective Preisach density.
Area of Science:
- Physics
- Materials Science
- Nonlinear Dynamics
Background:
- Preisach models are widely used to describe hysteresis phenomena.
- Understanding the impact of input correlations on model output is crucial for accurate predictions.
Purpose of the Study:
- To investigate the response of Preisach models to stochastically fluctuating external fields with correlations.
- To determine the validity of existing analytical expressions under correlated input conditions.
- To explore the role of effective Preisach density in correlated systems.
Main Methods:
- Numerical simulations of Preisach models with exponentially decaying input correlations.
- Analytical derivations for autocorrelation functions and power spectral densities.
- Comparison of generic and symmetric Preisach models.
Main Results:
- Analytical expressions for autocorrelation and power spectral densities hold asymptotically for correlated inputs.
- Mechanisms for long-term memory and 1/f noise persist with decaying input correlations.
- Effective Preisach density remains significant for correlated inputs.
- Generic Preisach models require higher weight for wide hysteresis loops to achieve similar long-time tails compared to symmetric models.
Conclusions:
- Preisach models demonstrate robust long-term memory and 1/f noise characteristics irrespective of input correlation decay.
- The effective Preisach density is a key parameter influencing model behavior across different input correlation scenarios.
Related Concept Videos
01:13Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model
352
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,...
352
01:10Entropy Change in Reversible Processes
3.3K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
3.3K
01:14Reversible and Irreversible Processes
5.9K
The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
5.9K
01:21Mechanistic Models: Overview of Compartment Models
416
Mechanistic models, a category encompassing both physiological and compartmental modeling, differ from empirical models' approaches to incorporating known factors about the systems being modeled. Empirical models describe data with minimal assumptions, while mechanistic models aim to provide a robust description of available data by specifying assumptions and integrating known factors about the system. Compartmental analysis is a key example of a mechanistic model in pharmacokinetics and...
416
01:18Second Order systems II
433
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
433
01:22Multi-input and Multi-variable systems
434
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence of...
In the absence of...
434