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Energy distribution and effective temperatures in a driven dissipative model
1Department of Physics, Technion, Haifa 32000, Israel.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 7, 2007
Summary
We studied driven dissipative systems and found their energy distribution has an exponential tail. Various effective temperatures were calculated, showing differences in measuring system properties.
Area of Science:
- Physics
- Statistical Mechanics
- Complex Systems
Background:
- Driven dissipative systems exhibit complex nonequilibrium behavior.
- Understanding steady-state energy distributions is crucial for characterizing these systems.
Purpose of the Study:
- To investigate the nonequilibrium behavior of driven dissipative systems.
- To analyze the steady-state energy distribution and its temporal evolution.
- To explore and differentiate various effective temperature measures.
Main Methods:
- Solving the non-Boltzmann steady-state energy distribution.
- Analyzing the temporal evolution to the steady state.
- Calculating multiple effective temperatures: granular, fluctuation, entropic, and configurational.
Main Results:
- The high-energy tail of the distribution exhibits exponential behavior.
- Different measures of effective temperature yield distinct values.
- An infinite hierarchy of effective temperatures can be defined.
Conclusions:
- Effective temperatures are not universally defined in driven dissipative systems.
- The study highlights the complexity of characterizing temperature in nonequilibrium environments.
- Different temperature definitions capture distinct physical aspects of the system.
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