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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 Transitions01:21

Phase Transitions

A phase transition is the process in which a substance changes from one state of matter to another, like from a solid to a liquid, liquid to gas, or vice versa, at a specific temperature and under given pressure conditions. This change is spontaneous and is affected by alterations in temperature and pressure. These parameters impact the strength of the forces between molecules (intermolecular forces) in the substance.During a phase transition, both the initial and final phases of the substance...
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 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...
Phase Transitions: Melting and Freezing02:39

Phase Transitions: Melting and Freezing

Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
Dynamic Equilibrium02:20

Dynamic Equilibrium

A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...

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Related Experiment Video

Updated: May 30, 2026

Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy
10:08

Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy

Published on: October 24, 2017

Threshold-induced phase transition in kinetic exchange models.

Asim Ghosh1, Urna Basu, Anirban Chakraborti

  • 1Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Kolkata, India. asim.ghosh@saha.ac.in

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 30, 2011
PubMed
Summary

This study reveals a novel phase transition in a stochastic energy exchange model. Below a critical energy threshold, particle systems vanish; above it, they persist, exhibiting critical slowing down.

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Last Updated: May 30, 2026

Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy
10:08

Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy

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Spin Saturation Transfer Difference NMR (SSTD NMR): A New Tool to Obtain Kinetic Parameters of Chemical Exchange Processes
11:44

Spin Saturation Transfer Difference NMR (SSTD NMR): A New Tool to Obtain Kinetic Parameters of Chemical Exchange Processes

Published on: November 12, 2016

Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Systems
  • Theoretical Physics

Background:

  • Stochastic models are crucial for understanding complex systems.
  • Energy exchange dynamics can lead to emergent phenomena.
  • Phase transitions are fundamental in physics, indicating significant system changes.

Purpose of the Study:

  • To investigate an ideal-gas-like model with stochastic energy exchange.
  • To identify and characterize a unique phase transition based on an energy threshold.
  • To analyze the associated critical phenomena and thermodynamic behaviors.

Main Methods:

  • Development of an ideal-gas-like model with stochastic, energy-conserving scattering.
  • Introduction of an energy threshold for particle interactions.
  • Analysis of steady-state particle number and critical exponents.
  • Examination of both mean-field and lattice versions of the model.

Main Results:

  • A critical energy threshold was identified, driving a distinct phase transition.
  • Below the threshold, the steady-state particle number approaches zero.
  • Above the threshold, a non-zero average particle number is observed in the steady state.
  • The transition exhibits critical slowing down and nontrivial critical exponents.

Conclusions:

  • The model demonstrates a unique phase transition governed by an energy threshold.
  • This transition is robust, appearing in both mean-field and lattice models.
  • The findings offer insights into non-equilibrium statistical mechanics and critical phenomena.