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Related Concept Videos

Transition State Theory01:25

Transition State Theory

Transition-state theory, also known as activated-complex theory, provides a molecular-level explanation of reaction rates in both gas-phase and solution-phase reactions. It extends earlier kinetic models by considering the formation of a short-lived, high-energy configuration during a reaction.The progress of a chemical reaction can be represented using a reaction profile, which plots potential energy against the reaction coordinate. As two reactant molecules approach one another, their...
Phase Transitions02:31

Phase Transitions

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 occupy...
Phase Transitions01:21

Phase Transitions

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Phase Transitions: Sublimation and Deposition02:33

Phase Transitions: Sublimation and Deposition

Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
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Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
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Luminescence, the emission of light by a substance that has absorbed energy, is a process that involves the interaction of molecules with light. The energy-level diagram, or Jablonski diagram, is a graphical representation of these interactions, illustrating the various states and transitions a molecule can undergo. In a typical Jablonski diagram, the lowest horizontal line represents the ground-state energy of the molecule, which is usually a singlet state. This state represents the energies...

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An Introduction to Processing, Fitting, and Interpreting Transient Absorption Data
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Phase transition in an exactly solvable extinction model.

Debarshee Bagchi1, P K Mohanty

  • 1Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, 1/AF Bidhan Nagar, Kolkata 700064, India. debarshee.bagchi@saha.ac.in

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 7, 2012
PubMed
Summary
This summary is machine-generated.

This study models biological evolution, showing species can go extinct or mutate under environmental stress. A phase transition to extinction occurs with increased stress or mutation rates.

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Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
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Area of Science:

  • Evolutionary biology
  • Theoretical ecology
  • Complex systems

Background:

  • Biological evolution is shaped by biotic interactions and environmental changes.
  • Species face extinction or adaptation when environmental stress exceeds their fitness.
  • Understanding evolutionary dynamics is crucial for predicting biodiversity trends.

Purpose of the Study:

  • To introduce a novel model of biological evolution incorporating biotic interactions and environmental stress.
  • To investigate the conditions leading to species extinction or adaptation.
  • To analyze the phase transitions and critical behavior in evolutionary dynamics.

Main Methods:

  • Development of a mathematical model for species evolution.
  • Analysis of species response to fluctuating environmental stress and mutation rates.
  • Exact solution of the model to characterize critical behavior.

Main Results:

  • The model demonstrates a phase transition to a completely extinct phase.
  • This transition is dependent on environmental stress and mutation rate.
  • The critical behavior is characterized by a dynamic exponent z=1/3.

Conclusions:

  • The model provides insights into large-scale evolutionary patterns.
  • It offers a framework for understanding trends in fossil data.
  • The study highlights the role of environmental stress and mutation in evolutionary outcomes.