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Work distribution functions for hysteresis loops in a single-spin system.

Rahul Marathe¹, Abhishek Dhar

¹Raman Research Institute, Bangalore 560080, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|February 21, 2006

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We simulated work distributions for an Ising spin driven by a magnetic field. Negative dissipated work is possible, and work fluctuation theorems hold for equilibrium states but not steady states.

Area of Science:

Statistical Mechanics
Condensed Matter Physics

Background:

Understanding the thermodynamics of small systems is crucial in statistical mechanics.
The Ising model is a fundamental model for studying magnetism and phase transitions.

Purpose of the Study:

To compute the work distribution for a single Ising spin driven by a time-dependent magnetic field.
To investigate the impact of driving rates on work distributions and dissipated work.

Main Methods:

Monte Carlo simulations using Glauber dynamics.
Analytical studies for slow and fast driving rate limits.

Main Results:

Work distributions are generally broad, showing significant probability for negative dissipated work.

Related Experiment Videos

Work fluctuation theorems for equilibrium initial states are satisfied.

A steady-state version of the work fluctuation theorem is not satisfied.

Conclusions:

The study provides insights into the non-equilibrium thermodynamics of magnetic systems.
The findings highlight the importance of initial state conditions for work fluctuation theorems.