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This paper looks at the early theory of phase transitions. It considers a group of related concepts derived from condensed matter and statistical physics. The key technical ideas here go under the names of "singularity", "order parameter",…

History and Philosophy of Physics · Physics 2009-09-14 Leo P. Kadanoff

We develop an analogy between fluids and black holes to study phase transitions in the latter. The entropy-temperature graph shows the onset of a phase transition without any latent heat. The nature of this continuous (higher order) phase…

General Relativity and Quantum Cosmology · Physics 2011-01-13 Rabin Banerjee , Sujoy Kumar Modak , Saurav Samanta

A model for nonequilibrium wetting in 1+1 dimensions is introduced. It comprises adsorption and desorption processes with a dynamics which generically does not obey detailed balance. Depending on the rates of the dynamical processes the…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen , Roberto Livi , David Mukamel , Antonio Politi

Proton ordering in water ice is a paradigmatic order-disorder transition in a locally constrained system. The ice rules require exactly two hydrogens close to each oxygen, restricting the disorder to an exponentially large yet strongly…

Materials Science · Physics 2026-03-11 Qi Zhang , Sicong Wan , Lei Wang

We point out, according to the principle of entropy growth, that the volume occupied by the system in the momentum space should expand during the first-order phase transition. Such an expansion is visualized by the simulation using the…

Nuclear Theory · Physics 2021-09-01 Feng Li

We study the dynamics of the first order phase transition in the two dimensional 15-state Potts model, both at and off equilibrium. We find that phase changes take place through nucleation in both cases, and finite volume effects are…

High Energy Physics - Lattice · Physics 2009-10-22 Sourendu Gupta

Liquid-liquid phase transition (LLPT) in supercooled water has been a long-standing controversial issue. We show simulation results of real stable first-order phase transitions between high and low density liquid (HDL and LDL)-like…

Soft Condensed Matter · Physics 2020-06-30 Saeed Pourasad , Amir Hajibabaei , Chang Woo Myung , Kwang S. Kim

We prove that lattice quantum systems may undergo a first-order quantum phase transition through a general mechanism which consists in an infinite dilution of the states associated to (or, more in general, near to) the lowest energy levels.…

Mathematical Physics · Physics 2009-06-09 Massimo Ostilli

Experimental nuclear level densities at excitation energies below the neutron threshold follow closely a constant-temperature shape. This dependence is unexpected and poorly understood. In this work, a fundamental explanation of the…

Nuclear Theory · Physics 2015-10-06 L. G. Moretto , A. C. Larsen , F. Giacoppo , M. Guttormsen , S. Siem , A. V. Voinov

Motivated by the notion that the mathematics of gravity can be reproduced from a statistical requirement of maximal entropy, we study the consequence of introducing an entropic source term in the Einstein-Hilbert action. For a spatially…

General Relativity and Quantum Cosmology · Physics 2024-03-20 Soumya Chakrabarti

A first order phase transition usually proceeds by nucleating bubbles of the new phase which then rapidly expand. In confining gauge theories with a gravity dual, the deconfined phase is often described by a black hole. If one starts in…

High Energy Physics - Theory · Physics 2010-10-27 Gary T. Horowitz , Matthew M. Roberts

Phase transitions abound in nature and society, and, from species extinction to stock market collapse, their prediction is of widespread importance. In earlier work we showed that Global Transfer Entropy, a general measure of information…

Statistical Mechanics · Physics 2021-04-12 Joshua Brown , Terry Bossomaier , Lionel Barnett

We propose an improved model explaining the occurrence of high stresses due to the difference in specific volumes during phase transitions between water and ice. The unknowns of the resulting evolution problem are the absolute temperature,…

Analysis of PDEs · Mathematics 2014-01-10 Pavel Krejci , Elisabetta Rocca

Elastic matrix distortion around a growing inclusion of a new phase is analyzed and the associated contribution to the Gibbs free energy is considered. The constant-composition transformation from the parent to product phase is considered…

mtrl-th · Physics 2008-02-03 M. A. Fradkin

Polymorphism is ubiquitous in crystalline solids. Amorphous solids, such as glassy water and silicon, may undergo amorphous-to-amorphous transitions (AATs). The nature of AATs remains ambiguous, due to diverse system-dependent behaviors and…

A generic property of a first-order phase transition in equilibrium, and in the limit of large entropy per unit of conserved charge, is the smallness of the isentropic speed of sound in the ``mixed phase''. A specific prediction is that…

We consider the $Q$-state Potts model on $\mathbb Z^d$, $Q\ge 3$, $d\ge 2$, with Kac ferromagnetic interactions and scaling parameter $\ga$. We prove the existence of a first order phase transition for large but finite potential ranges.…

Mathematical Physics · Physics 2014-09-25 Thierry Gobron , Immacolata Merola

A fluid in the NVT ensemble at T less than the critical temperature T_c and rho = N/V somewhat in excess of rho_coex (density of the saturated gas in the gas-liquid transition) is considered. For V->infinity, a macroscopic liquid droplet…

Soft Condensed Matter · Physics 2007-05-23 P. Virnau , L. G. MacDowell , M. Mueller , K. Binder

We investigate the transition from second to first order systems. This transforms configuration space into phase space and hence introduces noncommutativity in the former. Quantum mechanically, the transition may be described in terms of…

High Energy Physics - Theory · Physics 2008-11-26 Thomas Heinzl , Anton Ilderton

We discovered an out-of-equilibrium transition in the ideal gas between two walls, divided by an inner, adiabatic, movable wall. The system is driven out-of-equilibrium by supplying energy directly into the volume of the gas. At critical…

Statistical Mechanics · Physics 2025-02-06 Yirui Zhang , Marek Litniewski , Karol Makuch , Pawel J. Zuk , Anna Maciolek , Robert Holyst