2003/07/07 by S. Bustingorry, Bustingorry, S., E. A. Jagla +3
Computer Science · Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Computational Geometry and Mesh Generation #FOS: Physical sciences #Geological Modeling and Analysis #Material Properties and Processing #Materials Science (cond-mat.mtrl-sci) #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.mtrl-sci #cond-mat.soft #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.cond-mat/0307134
5 pages, 3 figures
arxiv created 2003/07/07 · openalex publication_date 2003/07/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an exactly solvable non-linear elastic model of a volume collapse transition in an isotropic solid. Integrity of the lattice through the transition leads to an infinite-range density-density interaction, which drives classical critical behavior. Nucleation is forbidden within a pressure window leading to intrinsic hysteresis and an unavoidable discontinuity of the thermodynamic potential (zeroth order transition). The window shrinks with increasing temperature ending at a critical point at a temperature related to the shear modulus. Mixed phases behave non-extensively and show negative compressibility. We discuss the implications for Ce, SmS, and related systems.