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Critical fluctuations at a finite-time dynamical phase transition
Nalina Vadakkayil1, Massimiliano Esposito1, Jan Meibohm2,3
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
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.
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.
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