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Spatial correlations, additivity, and fluctuations in conserved-mass transport processes.
Arghya Das1, Sayani Chatterjee1, Punyabrata Pradhan1
1Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, Block-JD, Sector-III, Salt Lake, Kolkata 700106, India.
Physical Review. E
|July 15, 2016
Summary
We calculated spatial correlations in mass transport processes. These processes exhibit short-range correlations and a thermodynamic structure, simplifying large-scale analysis.
Area of Science:
- Statistical Mechanics
- Complex Systems
- Transport Phenomena
Background:
- Conserved-mass transport processes involve complex dynamics like chipping, diffusion, and coalescence.
- Understanding the steady-state behavior of these systems is crucial for various scientific fields.
Purpose of the Study:
- To exactly calculate two-point spatial correlation functions in steady state for a broad class of conserved-mass transport processes.
- To investigate the large-scale thermodynamic structure emerging from these transport dynamics.
Main Methods:
- Exact calculation of two-point spatial correlation functions.
- Analysis of systems governed by chipping, diffusion, and coalescence of masses.
Main Results:
- Spatial correlations are generally short-ranged.
- These processes exhibit a remarkable thermodynamic structure in the steady state.
- An equilibrium-like additivity property and a fluctuation-response relation were identified.
Conclusions:
- The identified thermodynamic structure simplifies the analysis of large-scale subsystem mass distributions.
- Short-range correlations are key to the emergent equilibrium-like properties in these transport processes.
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