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March 18, 2005Physical Review EOpen Access

Exact probability function for bulk density and current in the asymmetric exclusion process

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This research aims to derive an exact joint probability function for bulk density and current in the asymmetric exclusion process.
Used standard operator algebra techniques for finite and thermodynamic limits.
Introduced a modified operator algebra to derive functional forms.
Calculated normalization constants to characterize fluctuations.
Resulting distribution for bulk density and current is non-Gaussian.
Current fluctuations are continuous at phase transitions, while density fluctuations are discontinuous.
Found a simple method to calculate normalization constants, analogous to partition functions in equilibrium systems.

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Implication

Randomized trial derives probability functions for bulk density and current in driven diffusive systems, suggesting new insights into their fluctuations.

Cite This Study

Depken et al. (2005) studied this question.

synapsesocial.com/papers/6a2012568fbc0747110dcdda https://doi.org/10.1103/physreve.71.036120

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Implication

Randomized trial derives probability functions for bulk density and current in driven diffusive systems, suggesting new insights into their fluctuations.

Exact probability function for bulk density and current in the asymmetric exclusion process

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Discussion

Implication

Cite This Study

Exact probability function for bulk density and current in the asymmetric exclusion process

Key Points

Discussion

Implication

Cite This Study

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