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Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

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Published on: June 15, 2022

Short-time dynamics in active systems: the Vicsek model.

M Leticia Rubio Puzzo^1,2,3, Ernesto S Loscar^1,2,3, Andrés De Virgiliis^1,2

¹Instituto de Física de Líquidos y Sistemas Biológicos (IFLySiB)-Universidad Nacional de La Plata and CONICET, Calle 59 n. 789, B1900BTE La Plata, Argentina.

Journal of Physics. Condensed Matter : an Institute of Physics Journal

|May 27, 2022

Summary

Short-time dynamics (STD) effectively analyze active systems like the Vicsek model (VM). This method distinguishes continuous from discontinuous transitions and determines critical points and exponents in non-equilibrium systems.

Keywords:

Vicsek model active matter collective behaviour

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Area of Science:

Statistical Physics
Active Matter Physics
Non-equilibrium Systems

Background:

Short-time dynamics (STD) are crucial for understanding equilibrium phase transitions, including critical points and exponents.
The Vicsek model (VM) is a key active matter system exhibiting non-equilibrium characteristics.

Purpose of the Study:

To investigate the applicability of STD in analyzing active systems.
To determine if STD can identify transition types and critical parameters in non-equilibrium scenarios.

Main Methods:

Applying short-time dynamics (STD) analysis to the Vicsek model (VM) with vector noise.
Calculating the Binder cumulant to verify transition types.

Main Results:

STD successfully reveals the phenomenology of phase transitions in the Vicsek model, similar to equilibrium systems.
The method distinguishes between continuous and discontinuous transitions in this active system.
Critical points and exponents were determined for continuous transitions.

Conclusions:

Short-time dynamics (STD) is a viable and powerful tool for studying non-equilibrium phase transitions in active matter systems.
The findings demonstrate the broad applicability of STD beyond traditional equilibrium systems.
This approach offers new insights into the critical behavior of systems lacking detailed balance.