How Long to Read Pattern Formations and Oscillatory Phenomena

By Shuichi Kinoshita

How Long Does it Take to Read Pattern Formations and Oscillatory Phenomena?

It takes the average reader 4 hours and 40 minutes to read Pattern Formations and Oscillatory Phenomena by Shuichi Kinoshita

Assuming a reading speed of 250 words per minute. Learn more

Description

We present examples of familiar phenomena found in nonequilibrium systems, including oscillatory phenomena, order-formation processes, and pattern formation. In particular, we introduce commonly used mathematical methods to analyze their characteristics. First, we present oscillations described by the Lotka–Volterra and van der Pol equations, the Brusselator, the Oregonator, and relaxation oscillations as examples of oscillatory phenomena. Second, we investigate the order-formation process in colloidal crystals and present an experimental observation of 2D array formation. Third, we demonstrate pattern formation in crystals on the basis of the Mullins–Sekerka instability, and in chemical and biological systems on the basis of the Turing instability. In particular, we describe the optical properties and development of sophisticated structural patterns that directly interact with light. Finally, we briefly describe a theoretical phase-transition analogy that might clarify the concept of order formation in nonequilibrium systems.

How long is Pattern Formations and Oscillatory Phenomena?

Pattern Formations and Oscillatory Phenomena by Shuichi Kinoshita is 280 pages long, and a total of 70,000 words.

This makes it 94% the length of the average book. It also has 86% more words than the average book.

How Long Does it Take to Read Pattern Formations and Oscillatory Phenomena Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 22 minutes to read Pattern Formations and Oscillatory Phenomena aloud.

What Reading Level is Pattern Formations and Oscillatory Phenomena?

Pattern Formations and Oscillatory Phenomena is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Pattern Formations and Oscillatory Phenomena?

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