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Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions

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Critical fluctuations at a finite-time dynamical phase transition.

Nalina Vadakkayil¹, Massimiliano Esposito¹, Jan Meibohm^2,3

¹University of Luxembourg, Complex Systems and Statistical Mechanics, Department of Physics and Materials Science, L-1511 Luxembourg, Luxembourg.

Physical Review. E

|February 7, 2025

Summary

This summary is machine-generated.

We studied critical properties of dynamical phase transitions in Ising magnets after a temperature quench. Critical exponents differ from standard Ising values for initial low temperatures, indicating a new dynamical critical phenomenon.

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Area of Science:

Condensed matter physics
Statistical mechanics
Non-equilibrium systems

Background:

Dynamical phase transitions occur in non-equilibrium systems.
Previous studies focused on mean-field models or critical time.
Understanding critical fluctuations is key to characterizing these transitions.

Purpose of the Study:

To analyze critical fluctuations at the dynamical phase transition in the nearest-neighbor Ising model.
To determine critical exponents in two spatial dimensions.
To compare these exponents with the standard Ising universality class.

Main Methods:

Monte Carlo simulations of the Ising model on a square lattice.
Finite-size scaling analysis to extract critical exponents.
Investigation of relaxation dynamics after a temperature quench.

Main Results:

Critical exponents were extracted using finite-size scaling.
For initial temperatures near the critical point, exponents match the 2D Ising universality class.
For initial temperatures below the critical point, exponents differ, revealing a distinct dynamical phenomenon.

Conclusions:

The nearest-neighbor Ising model exhibits distinct dynamical critical phenomena.
Initial conditions significantly influence critical behavior in non-equilibrium systems.
This work provides new insights into the critical properties of finite-time dynamical phase transitions.