Related Experiment Video
Updated: Apr 21, 2026
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
7.6K
Temperature-driven coherence resonance and stochastic resonance in a thermochemical system
A Lemarchand1, J Gorecki2, A Gorecki3
1Sorbonne Universités, UPMC Univ Paris 06, Laboratoire de Physique Théorique de la Matière Condensée (LPTMC), 4 place Jussieu, case courrier 121, 75252 Paris Cedex 05, France and CNRS, LPTMC, UMR 7600, Paris, France.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 30, 2014
Summary
This study analyzes a thermochemical system
Area of Science:
- Chemical kinetics
- Nonlinear dynamics
- Statistical physics
Background:
- Thermochemical systems exhibit complex dynamics.
- Understanding stochastic behavior is crucial for chemical reaction analysis.
Purpose of the Study:
- To perform a stochastic analysis of a thermochemical system.
- To investigate the system's time evolution under varying thermostat temperatures.
- To characterize dynamical regimes and the role of fluctuations.
Main Methods:
- Master equation approach for chemical reactions with temperature jumps.
- Stochastic time series generation for system temperature.
- Analysis of interspike interval distributions.
- Bifurcation analysis (homoclinic and Hopf).
Main Results:
- Identified excitable, oscillatory, and stationary regimes.
- Observed noise-induced transitions near Hopf bifurcations.
- Found coherence and stochastic resonance in the oscillatory regime.
- Revealed system size sensitivity with minima and maxima in scaled standard deviation.
Conclusions:
- Internal fluctuations play constructive roles in system dynamics.
- System behavior is highly sensitive to particle number, posing challenges for nanoreactor control.
- Bifurcations and resonance phenomena are key to understanding system behavior.
Related Concept Videos
02:49Second Law of Thermodynamics
21.5K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic...
21.5K
00:53Second Law of Thermodynamics
57.3K
The Second Law of Thermodynamics states that entropy, or the amount of disorder in a system, increases each time energy is transferred or transformed. Each energy transfer results in a certain amount of energy that is lost—usually in the form of heat—that increases the disorder of the surroundings. This can also be demonstrated in a classic food web. Herbivores harvest chemical energy from plants and release heat and carbon dioxide into the environment. Carnivores harvest the...
57.3K
01:06Thermodynamic Systems
6.3K
A thermodynamic system is a set of objects whose thermodynamic properties are of interest. The system is considered to be embedded in its surroundings or the environment. The system and its environment can exchange heat and do work on each other through a boundary that separates them. However, the immediate surroundings of the system interact with it directly and therefore have a much stronger influence on its behavior and properties.
Consider an example of tea boiling in a kettle. The...
Consider an example of tea boiling in a kettle. The...
6.3K
01:16Thermal Sigmatropic Reactions: Overview
1.6K
Sigmatropic rearrangements are a class of pericyclic reactions in which a σ bond migrates from one part of a π system to another. These are intramolecular rearrangements where the total number of σ and π bonds remain unchanged.
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in...
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in...
1.6K
02:38Third Law of Thermodynamics
16.8K
A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.
16.8K
01:28The Thermodynamics of Mixing
137
Mixing is a fascinating phenomenon in thermodynamics, particularly when considering the Gibbs energy of a mixture at constant temperature and pressure. This energy, denoted as G, tends to decrease during spontaneous mixing processes, offering insights into the composition changes that occur.Imagine two ideal gases, initially separated in different containers, with amounts nA and nB, respectively, both at a temperature T and pressure p. The chemical potentials of these gases have their 'pure'...
137