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Related Concept Videos

Phase Transitions02:31

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Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
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Entropy02:39

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Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
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States of Matter and Phase Changes00:59

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The internal energy of a substance—the total kinetic energy of all its molecules and the potential energy of their associated forces—depends on the strength of the intermolecular forces in the condensed phases and the pressure exerted on the substance. The internal energy of a substance is the highest in the gaseous state, the lowest in the solid state, and intermediate in the liquid state. Phase transitions are caused by changes in physical conditions, such as temperature and...
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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.
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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.
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The physical form of a substance changes on changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. Vaporization occurs when the thermal motion of the molecules overcome the intermolecular forces, and the molecules (at the surface) escape into the gaseous state. When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase...
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Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers
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Detecting and characterizing phase transitions in active matter using entropy.

Benjamin Sorkin1, Avraham Be'er2,3, Haim Diamant1

  • 1School of Chemistry and Center for Physics and Chemistry of Living Systems, Tel Aviv University, 69978 Tel Aviv, Israel.

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This summary is machine-generated.

Entropy analysis quantifies active matter phases. This method identifies flocking transitions and reveals diverse swarm behaviors in bacteria, offering insights into collective dynamics.

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Area of Science:

  • Physics
  • Biophysics
  • Complex Systems

Background:

  • Characterizing phases and transitions in active matter is challenging.
  • Understanding collective behavior in systems like swarms requires quantitative methods.

Purpose of the Study:

  • To demonstrate entropy as a tool for classifying active matter regimes and spatial patterns.
  • To analyze correlations between position and orientation degrees of freedom.
  • To clarify the physical mechanism of the flocking transition.

Main Methods:

  • Calculating entropy contributions from position-orientation correlations.
  • Applying entropy analysis to the Vicsek model.
  • Analyzing experimental data of swarming Bacillus subtilis.

Main Results:

  • Entropy analysis successfully identified the flocking transition in the Vicsek model.
  • The method clarified the physical mechanism underlying the flocking transition.
  • Analysis of Bacillus subtilis revealed a rich phase diagram with distinct swarm statistics based on cell aspect ratio and area fraction.

Conclusions:

  • Entropy is a powerful quantitative descriptor for active matter systems.
  • The findings provide a new framework for understanding collective behavior and phase transitions in biological and physical systems.
  • The study highlights the importance of correlations in driving emergent phenomena.