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Universality in driven Potts models
Tim Herpich1, Massimiliano Esposito1
1Complex Systems and Statistical Mechanics, Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg, Luxembourg.
Physical Review. E
|April 3, 2019
Summary
Attractive interactions in driven systems with many states lead to state coalescence. This phenomenon, dependent on the number of states (q), influences energy dissipation and power-efficiency trade-offs, revealing distinct behaviors for odd and even q values.
Area of Science:
- Statistical physics
- Complex systems dynamics
- Nonlinear dynamics
Background:
- Globally interacting units on a ring exhibit complex behaviors.
- External driving forces introduce rich dynamical phenomena.
- The number of states (q) can significantly alter system dynamics.
Purpose of the Study:
- To investigate the stochastic dynamics of driven systems with q-state units.
- To analytically characterize phase transitions driven by attractive interactions.
- To explore the influence of q on synchronization, energy dissipation, and power-efficiency.
Main Methods:
- Analytical characterization of a Hopf bifurcation.
- Analysis of phase transitions at critical temperatures.
- Thermodynamic analysis of dissipated work and power-efficiency.
Main Results:
- Repulsive interactions yield uniform occupations.
- Attractive interactions induce a phase transition from uniform to coalesced states.
- Synchronization regimes observed for odd q, absent for even q.
- Interactions are significant only below the critical temperature for attractive cases.
Conclusions:
- Attractive interactions in driven q-state systems lead to state coalescence and reduced work dissipation.
- The system exhibits distinct low-temperature behaviors for odd and even q.
- The number of states (q) influences the temperature range of these phenomena and the power-efficiency trade-off.
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