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Updated: Jan 11, 2026
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Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
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Thermodynamic constraints and pseudotransition behavior in a one-dimensional waterlike system
F F Braz1, S M de Souza1, M L Lyra2
1Federal University of Lavras, Department of Physics, Institute of Natural Science, 37200-900 Lavras, Minas Gerais, Brazil.
Physical Review. E
|November 18, 2025
Summary
This study models waterlike behavior in a 1D lattice system, revealing distinct gas and liquid phases. It demonstrates how thermodynamic constraints influence pseudotransitions, mimicking water's complex anomalies.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
- Chemical Physics
Background:
- Water exhibits complex thermodynamic anomalies, including density and heat capacity variations.
- Understanding these anomalies is crucial for fields ranging from climate science to biochemistry.
- Simple models can offer insights into complex phenomena.
Purpose of the Study:
- To investigate a one-dimensional (1D) lattice model simulating waterlike behavior.
- To analyze the influence of van der Waals and hydrogen-bond interactions on system phases.
- To explore the impact of thermodynamic constraints on phase transitions and anomalies.
Main Methods:
- Developed a 1D lattice model with particle number fluctuations via chemical potential.
- Employed the transfer-matrix method for exact analytical results in the grand-canonical ensemble.
- Utilized Legendre transformation to analyze behavior under fixed density constraints.
Main Results:
- Identified three ground-state phases: gas, bonded liquid, and dense liquid.
- Observed pseudotransition features like sharp entropy and density changes in the grand-canonical ensemble.
- Found smoother anomalies and ensemble-dependent behavior under fixed density constraints.
Conclusions:
- The ensemble dependence of pseudotransitions is significant.
- Statistical constraints modulate critical-like behavior in thermodynamic systems.
- Simple 1D models can effectively reproduce complex, waterlike thermodynamic anomalies.
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