Relaxation in classical systems

In summary, the conversation discusses the relaxation phenomenon and its application to classical systems. The example of a damped oscillator is used to illustrate the concept, with the relaxation time being the time needed for the system to return to equilibrium. The conversation also mentions the possibility of non-exponential terms in different relaxation phenomena and asks for clarification on the terms "overdamped," "underdamped," and "critically damped."
  • #1
James Starligh
5
0
Dear all,

I'd like to specify meaning othe relaxation phenomenon on example in some classical system.
For example in Wiki I found example of dampled oscilator where the relaxation time ( the time is needed for the system to return to the equilibrium fluctuation pattern) add exponential decay to the motion equation of such oscilator

http://en.wikipedia.org/wiki/Relaxation_(physics)#Mechanics:_Damped_unforced_oscillator


Could some one provide me more quatinely what with such system will be expected in case of increasing (decreasing) of the relaxation time ? What are the examples of the non-exponential terms in different relaxation phenomena?

James
 
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FAQ: Relaxation in classical systems

What is relaxation in classical systems?

Relaxation in classical systems refers to the process by which a system approaches a state of equilibrium or stability after being perturbed or disturbed. It involves the dissipation of energy and the restoration of order or balance in the system.

What factors affect the relaxation time of a classical system?

The relaxation time of a classical system is affected by various factors such as temperature, external forces, and the properties of the system itself. Higher temperatures and stronger external forces generally lead to faster relaxation times, while more complex or rigid systems may have longer relaxation times.

How is relaxation time measured in classical systems?

Relaxation time can be measured by monitoring the system's response to a perturbation over a period of time. This can be done through various techniques such as spectroscopy, rheology, or microscopy, depending on the type of system being studied.

What are the different types of relaxation processes in classical systems?

There are three main types of relaxation processes in classical systems: structural relaxation, orientational relaxation, and vibrational relaxation. Structural relaxation involves changes in the internal structure of the system, while orientational relaxation involves the reorientation of molecules or particles. Vibrational relaxation refers to the dissipation of vibrational energy within the system.

Why is the study of relaxation in classical systems important?

Understanding relaxation processes in classical systems is crucial in various fields such as materials science, chemistry, and physics. It allows us to predict and control the behavior of materials and systems, and is essential in the development of new technologies and applications. Additionally, relaxation processes play a key role in many natural phenomena, making their study important for a better understanding of the world around us.

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