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Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.
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Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
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The spontaneity of a process depends upon the temperature of the system. Phase transitions, for example, will proceed spontaneously in one direction or the other depending upon the temperature of the substance in question. Likewise, some chemical reactions can also exhibit temperature-dependent spontaneities. To illustrate this concept, the equation relating free energy change to the enthalpy and entropy changes for the process is considered:
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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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Related Experiment Video

Updated: Apr 15, 2026

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Low-temperature Glauber dynamics under weak competing interactions.

M D Grynberg1

  • 1Departamento de Física, Universidad Nacional de La Plata, 1900 La Plata, Argentina.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 15, 2015
PubMed
Summary
This summary is machine-generated.

Investigating Glauber dynamics in Ising spin chains reveals distinct low-temperature behaviors. Weakly frustrated systems exhibit near-ballistic coarsening, while noncompeting interactions show diffusive dynamics.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Spin Dynamics

Background:

  • Glauber dynamics models the stochastic behavior of magnetic systems.
  • Ising spin chains with competing interactions exhibit complex low-temperature properties.
  • Understanding coarsening dynamics is crucial for characterizing phase transitions.

Purpose of the Study:

  • To investigate the low-temperature, nonzero-temperature regimes of Glauber dynamics in Ising spin chains.
  • To analyze the impact of first- and second-neighbor interactions (J1, J2) on spin chain kinetics.
  • To characterize the asymptotic behavior of frustrated and noncompeting spin systems.

Main Methods:

  • Finite-size scaling analysis of relaxation times.
  • Computational modeling of Glauber dynamics.
  • Theoretical analysis of kinetic exponents and coarsening velocities.

Main Results:

  • For weakly frustrated systems (0 < -J2/|J1| < 1), dynamics are ergodic and coarsening at T→0+ with a near-ballistic exponent z ≈ 1.03(2) and slow growth velocities.
  • Noncompeting interactions lead to diffusive coarsening length scales.
  • The study distinguishes between metastable, noncoarsening dynamics at T=0 and ergodic, coarsening dynamics at T→0+.

Conclusions:

  • The asymptotic kinetics of Ising spin chains depend significantly on the nature and strength of competing interactions.
  • Weak frustration induces anomalous, near-ballistic coarsening at vanishing temperatures.
  • Diffusive coarsening is characteristic of noncompeting interaction regimes.