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Related Concept Videos

Entropy Change in Reversible Processes01:10

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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.
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The Entropy as a State Function01:14

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Consider an arbitrary process that moves between two specific states (A and B) in a cyclic manner. This process is reversible and broken down into smaller parts that each follow a Carnot cycle. A Carnot cycle has two isothermal (constant temperature) processes. During these processes, the ratio of the amount of heat transferred to their respective temperature remains constant. The other two processes in the Carnot cycle are also reversible but adiabatic, which means they occur without any heat...
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Entropy and the Second Law of Thermodynamics01:20

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The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
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Consider an isolated system in which a hot object is placed in contact with a cold one. This is an irreversible process that eventually leads both objects to reach the same equilibrium temperature. It is crucial to note that the constituents of any substance exhibit increased disorder at higher temperatures. As a cold substance absorbs heat, its constituents become more disordered. The energy transfer from a hotter object to a cooler one increases the system's disorder or randomness. This...
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Entropy Changes Accompanying Specific Processes01:21

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Entropy, a measure of disorder in a system, changes during phase transitions like freezing or boiling. At the transition temperature Ttrs, where two phases are in equilibrium, the phase transition is a reversible process. The entropy change can be calculated from a substance's enthalpy of transition using the equation ΔStrs = ΔtrsH /Ttrs.When a perfect gas expands isothermally from one volume to another, entropy increases logarithmically with volume. Conversely, isothermal compression...
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In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
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Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
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Hidden in plain view: degeneracy in complex systems.

P H Mason1, J F Domínguez D2, B Winter3

  • 1Woolcock Institute of Medical Research, University of Sydney, 431 Glebe Point Road, Glebe, 2037 NSW, Australia.

Bio Systems
|December 28, 2014
PubMed
Summary
This summary is machine-generated.

Degeneracy, where different pathways yield the same outcome, is vital for complex biological systems. Understanding this concept, distinct from redundancy, unlocks insights into novelty and system integrity.

Keywords:
BrainComplex systemsDegeneracyImmune systemLanguagePluripotentialityRedundancy

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Area of Science:

  • Biological Sciences
  • Physics
  • Neuroscience
  • Immunology
  • Genetics
  • Linguistics

Background:

  • The term "degeneracy" has negative popular connotations, hindering its scientific adoption.
  • Scientific inquiry often favors single causality, overlooking multi-stranded relationships.
  • Degeneracy is frequently confused with redundancy; degeneracy involves dissimilar structures with similar functions, while redundancy involves identical structures.

Observation:

  • Degeneracy enables dissimilar structures to perform similar functions, fostering system robustness.
  • Unlike redundancy, degeneracy can generate novelty, driving evolutionary and developmental processes.
  • This concept is crucial for maintaining functional integrity in complex systems like genetic codes, immunology, and brain development.

Findings:

  • The scientific concept of degeneracy originated in physics and was adopted by genetics, immunology, and neuroscience.
  • Examples from immunology, neuroscience, and linguistics illustrate degeneracy's utility in understanding complex system functions.
  • Degeneracy facilitates functional adaptability and resilience in biological and cognitive systems.

Implications:

  • Recognizing degeneracy's scientific meaning can overcome popular misconceptions.
  • Distinguishing degeneracy from redundancy clarifies its unique role in generating novelty and system adaptability.
  • Further appreciation and development of degeneracy theory can accelerate its application across diverse scientific fields.