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Published on: November 7, 2017
Work distributions for Ising chains in a time-dependent magnetic field
1Institut für Physik, Technische Universität Ilmenau, 98684 Ilmenau, Germany.
Summary
This study introduces an exact Monte Carlo simulation for driven many-particle systems, revealing how interactions affect work and heat distributions in Ising chains. The findings show distributions transition from singular to Gaussian behavior with reduced field rates or interaction strength.
Area of Science:
- Statistical mechanics
- Non-equilibrium physics
- Computational physics
Background:
- Master equations model driven many-particle systems.
- Fluctuation theorems are key in non-equilibrium statistical mechanics.
- Microscopic work and heat distributions are of significant interest.
Purpose of the Study:
- To develop an exact Monte Carlo simulation algorithm.
- To investigate the impact of interactions on work and heat distributions.
- To study driven Ising chains with Glauber dynamics.
Main Methods:
- Exact Monte Carlo simulation algorithm.
- Application to an Ising chain model.
- Analysis of Glauber dynamics under time-dependent external fields.
Main Results:
- The algorithm accurately captures interaction effects.
- Work and heat distributions exhibit delta and step functions with a smooth component.
- Singularities diminish with decreasing sweeping rate or interaction strength.
Conclusions:
- The developed simulation is effective for studying driven systems.
- Interaction strength and field dynamics significantly alter fluctuation properties.
- Systems approach a Gaussian fluctuation regime under specific conditions.
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