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Published on: December 4, 2017
Noise-induced dynamical phase transitions in long-range systems
Pierre-Henri Chavanis1, Fulvio Baldovin, Enzo Orlandini
1Laboratoire de Physique Théorique (IRSAMC), CNRS and UPS, Université Paul Sabatier, F-31062 Toulouse, France.
Summary
External noise can destabilize long-lived Vlasov-stable states in isolated systems. This leads to a dynamical phase transition, evidenced by an order parameter pulse, offering a unique experimental signature.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Dynamics
- Complex Systems
Background:
- Isolated long-range interacting systems are typically described by the Vlasov equation in the thermodynamic limit.
- The Vlasov equation admits stable stationary solutions in non-equilibrium states, characterized by a zero order parameter.
Purpose of the Study:
- To investigate the effect of external noise sources, like a heat bath, on the stability of Vlasov-stable states.
- To identify potential experimental signatures for the transient existence of these non-equilibrium states.
Main Methods:
- Analytical treatment of the Vlasov equation in the presence of external noise.
- Numerical simulations of a representative long-range interacting model.
- Analysis of order parameter dynamics to detect phase transitions.
Main Results:
- External noise sources can significantly reduce the lifetime of Vlasov-stable stationary solutions.
- A dynamical phase transition, marked by a non-zero order parameter, is induced by noise at a specific time.
- Evidence of a regime exhibiting an order parameter pulse was observed.
Conclusions:
- The observed dynamical phase transition serves as a distinctive experimental signature for the temporary existence of non-equilibrium Vlasov-stable states.
- Noise-induced transitions provide a mechanism to probe and identify these transient states in physical systems.
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