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Comment on ``Phase Coexistence in Multifragmentation''  [PDF]
D. H. E. Gross,A. S. Botvina
Physics , 1996,
Abstract: This comment on Moretto et al.PRL 76:372,1996 argues that the IMF-charge distribution may not be useful as signal for phase-transitions in nuclear multifragmentation. Fluctuations of different origin may corrupt this signal. Energy conservation is as important as charge conservation. The caloric equation of state is more safe.
Continuous demixing at liquid-vapor coexistence in a symmetrical binary fluid mixture  [PDF]
Nigel B. Wilding
Physics , 2003, DOI: 10.1103/PhysRevE.67.052503
Abstract: We report a Monte Carlo finite-size scaling study of the demixing transition of a symmetrical Lennard-Jones binary fluid mixture. For equal concentration of species, and for a choice of the unlike-to-like interaction ratio delta=0.7, this transition is found to be continuous at liquid-vapor coexistence. The associated critical end point exhibits Ising-like universality. These findings confirm those of earlier smaller scale simulation studies of the same model, but contradict the findings of recent integral equation and hierarchical reference theory investigations.
The resistible effects of Coulomb interaction on nucleus-vapor phase coexistence  [PDF]
L. G. Moretto,J. B. Elliott,L. Phair
Physics , 2003, DOI: 10.1103/PhysRevC.68.061602
Abstract: We explore the effects of Coulomb interaction upon the nuclear liquid vapor phase transition. Because large nuclei (A>60) are metastable objects, phases, phase coexistence, and phase transitions cannot be defined with any generality and the analogy to liquid vapor is ill-posed for these heavy systems. However, it is possible to account for the Coulomb interaction in the decay rates and obtain the coexistence phase diagram for the corresponding uncharged system.
Coexistence of excited states in confined Ising systems  [PDF]
Andrzej Drzewinski
Physics , 2000, DOI: 10.1103/PhysRevE.62.4378
Abstract: Using the density-matrix renormalization-group method we study the two-dimensional Ising model in strip geometry. This renormalization scheme enables us to consider the system up to the size 300 x infinity and study the influence of the bulk magnetic field on the system at full range of temperature. We have found out the crossover in the behavior of the correlation length on the line of coexistence of the excited states. A detailed study of scaling of this line is performed. Our numerical results support and specify previous conclusions by Abraham, Parry, and Upton based on the related bubble model.
Geometry of the Vapor Liquid Coexistence in the Gibbs Space  [PDF]
Eduardo Pi?a
Physics , 2011,
Abstract: The phase coexistence is illuminated with geometric views of the thermodynamic variables, according to Gibbs' choices. Quantities and relations between them are obtained. The existence of the edge of regression with tangents coincident with the straight lines connecting the coexistence points of phase equilibrium is stressed. A geometric approach to the critical point leads to estimation of the values of the critical exponents for the angles formed by the coexistence curve and the straight lines with the principal direction along the minimal curvature.
The Gonihedric Paradigm Extensions of the Ising Model  [PDF]
George Savvidy
Physics , 2015,
Abstract: We suggest a generalization of the Feynman path integral to an integral over random surfaces. The proposed action is proportional to the linear size of the random surfaces and is called gonihedric. The convergence and the properties of the partition function are analysed. The model can also be formulated as a spin system with identical partition function. The spin system represents a generalisation of the Ising model with ferromagnetic, antiferromagnetic and quartic interactions. Higher symmetry of the model allows to construct dual spin systems in three and four dimensions. In three dimensions the transfer matrix describes the propagation of closed loops and we found its exact spectrum. It is a unique exact solution of the tree-dimensional statistical spin system. In three and four dimensions the system exhibits the second order phase transitions. The gonihedric spin systems have exponentially degenerated vacuum states separated by the potential barriers and can be used as a storage of binary information.
Droplets in the coexistence region of the two-dimensional Ising model  [PDF]
M. Pleimling,W. Selke
Physics , 2000, DOI: 10.1088/0305-4470/33/22/102
Abstract: The two-dimensional Ising model with fixed magnetization is studied using Monte Carlo techniques. At the coexistence line, the macroscopic, extensive droplet of minority spins becomes thermally unstable by breaking up into microscopic clusters. Intriguing finite--size effects as well as singularities of thermal and cluster properties associated with the transition are discussed.
Liquid-vapor coexistence in square-well fluids: an RHNC study  [PDF]
Achille Giacometti,Giorgio Pastore,Fred Lado
Physics , 2009, DOI: 10.1080/00268970902889642
Abstract: We investigate the ability of the reference hypernetted-chain integral equation to describe the phase diagram of square-well fluids with four different ranges of attraction. Comparison of our results with simulation data shows that the theory is able to reproduce with fairly good accuracy a significant part of the coexistence curve, provided an extrapolation procedure is used to circumvent the well-known pathologies of the pseudo-spinodal line, which are more severe at reduced width of the attractive well. The method provides a useful approach for a quick assessment of the location of the liquid-vapor coexistence curve in this kind of fluid and serves as a check for the more complex problem of anisotropic "patchy" square-well molecules.
Finite-Size Scaling on the Ising Coexistence Line  [PDF]
S. Gupta,A. Irbaeck
Physics , 1992, DOI: 10.1016/0920-5632(93)90343-5
Abstract: We study the finite-size scaling of moments of the magnetization in the low-temperature phase of the two-dimensional Ising model.
Slow dynamics for the dilute Ising model in the phase coexistence region  [PDF]
Marc Wouts
Mathematics , 2012, DOI: 10.1007/s00220-012-1590-0
Abstract: In this paper we consider the Glauber dynamics for a disordered ferromagnetic Ising model, in the region of phase coexistence. It was conjectured several decades ago that the spin autocorrelation decays as a negative power of time [Huse and Fisher, Phys. Rev. B, 1987]. We confirm this behavior by establishing a corresponding lower bound in any dimensions $d \geqslant 2$, together with an upper bound when $d=2$. Our approach is deeply connected to the Wulff construction for the dilute Ising model. We consider initial phase profiles with a reduced surface tension on their boundary and prove that, under mild conditions, those profiles are separated from the (equilibrium) pure plus phase by an energy barrier.
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