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Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

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Static and dynamic structure factors in three-dimensional randomly diluted Ising models.

Pasquale Calabrese¹, Andrea Pelissetto, Ettore Vicari

¹Dipartimento di Fisica dell'Università di Pisa and INFN, Largo Pontecorvo 2, Pisa, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 21, 2008

Summary

This summary is machine-generated.

We studied critical behavior in a diluted Ising model. The dynamic spin correlation function showed unique momentum-independent decay, differing from pure systems due to broken translational invariance.

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Area of Science:

Condensed Matter Physics
Statistical Mechanics
Disordered Systems

Background:

The three-dimensional randomly diluted Ising model exhibits critical phenomena at its paramagnetic-ferromagnetic transition.
Understanding critical behavior in disordered systems is crucial for materials science and statistical physics.

Purpose of the Study:

To investigate the critical behavior of static and dynamic spin-spin correlation functions in the three-dimensional randomly diluted Ising model.
To analyze the paramagnetic-ferromagnetic transition in the high-temperature phase using purely relaxational dynamics (model A).

Main Methods:

Monte Carlo simulations were employed to model the system's behavior.
Perturbative field-theoretical calculations provided analytical insights.

Main Results:

The static structure factor's critical behavior closely resembles that of pure Ising systems.
The dynamic structure factor exhibits a distinct critical behavior, notably a momentum-independent large-time decay rate.
This unusual dynamic behavior is attributed to the breaking of translational invariance, not Griffiths tails.

Conclusions:

Random dilution significantly alters the dynamic critical behavior compared to pure Ising systems.
The breaking of translational invariance is identified as the key mechanism behind the observed momentum-independent decay in dynamic correlations.
These findings offer new insights into the universality classes and critical dynamics of disordered magnetic systems.