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Nonmonotonic behavior in hardcore and WidomRowlinson models
 J. Statist. Phys
, 1998
"... We give two examples of nonmonotonic behavior in symmetric systems, exhibiting more than one critical point at which spontaneous symmetrybreaking appears or disappears. The two systems are the hardcore model and the WidomRowlinson model, and both examples take place on a variation of the Cayley ..."
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Cited by 34 (4 self)
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We give two examples of nonmonotonic behavior in symmetric systems, exhibiting more than one critical point at which spontaneous symmetrybreaking appears or disappears. The two systems are the hardcore model and the WidomRowlinson model, and both examples take place on a variation of the Cayley
WidomRowlinson model (continuum and lattice)
, 709
"... progress has already been made in understanding equilibrium phase transitions and critical phenomena in classical (i.e. nonquantum) lattice models, where basic elements are localized on vertices of a regular discrete structure and interact with their nearest neighbors. The lattice gas analogy [1] o ..."
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Cited by 1 (0 self)
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. On the other hand, little was known about the liquidvapor equilibrium in continuum models (fluids), where the distance between interacting particles is a continuous variable. In 1970 Widom and Rowlinson (WR) introduced a simple model of the classical fluid in thermodynamic equilibrium [2], found a counterpart
Ordering and Demixing Transitions in Multicomponent WidomRowlinson Models
 Rev. E
, 1995
"... We use Monte Carlo techniques and analytical methods to study the phase diagram of multicomponent WidomRowlinson models on a square lattice: there are M species all with the same fugacity z and a nearest neighbor hard core exclusion between unlike particles. Simulations show that for M between two ..."
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Cited by 5 (0 self)
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We use Monte Carlo techniques and analytical methods to study the phase diagram of multicomponent WidomRowlinson models on a square lattice: there are M species all with the same fugacity z and a nearest neighbor hard core exclusion between unlike particles. Simulations show that for M between two
Phase transitions of a multicomponent Widom– Rowlinson model
 J. Math. Phys
, 1974
"... We use Monte Carlo techniques and analytical methods to study the phase diagram of the M–component Widom–Rowlinson model on the bcc–lattice: there are M species all with the same fugacity z and a nearest neighbor hard core exclusion between unlike particles. Simulations show that for M ≥ 3 there is ..."
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Cited by 3 (0 self)
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We use Monte Carlo techniques and analytical methods to study the phase diagram of the M–component Widom–Rowlinson model on the bcc–lattice: there are M species all with the same fugacity z and a nearest neighbor hard core exclusion between unlike particles. Simulations show that for M ≥ 3
Some results on the phase structure of the twodimensional WidomRowlinson model
"... this paper, we consider the 2D WidomRowlinson model. Although this model is generally thought to be similar to the 2D Ising model, the proof of [5] does not work. We state our main results. Van den Berg and Steif conjectured that the hardcore lattice gas model on Z with paritydependent activitie ..."
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this paper, we consider the 2D WidomRowlinson model. Although this model is generally thought to be similar to the 2D Ising model, the proof of [5] does not work. We state our main results. Van den Berg and Steif conjectured that the hardcore lattice gas model on Z with parity
Dynamical Widom–Rowlinson model and its mesoscopic limit
"... We consider the nonequilibrium dynamics for the Widom–Rowlinson model (without hardcore) in the continuum. The Lebowitz– Penrosetype scaling of the dynamics is studied and the system of the corresponding kinetic equations is derived. In the spacehomogeneous case, the equilibrium points of this ..."
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We consider the nonequilibrium dynamics for the Widom–Rowlinson model (without hardcore) in the continuum. The Lebowitz– Penrosetype scaling of the dynamics is studied and the system of the corresponding kinetic equations is derived. In the spacehomogeneous case, the equilibrium points
ELECTRONIC COMMUNICATIONS in PROBABILITY A MONOTONICITY RESULT FOR HARDCORE AND WIDOM–ROWLINSON MODELS ON
, 2002
"... Hardcore model, WidomRowlinson model, Gibbs measures, monotonic phase transition, siterandomcluster model For each d ≥ 2, wegiveexamplesofddimensional periodic lattices on which the hardcore and Widom–Rowlinson models exhibit a phase transition which is monotonic, in the sense that there exists ..."
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Hardcore model, WidomRowlinson model, Gibbs measures, monotonic phase transition, siterandomcluster model For each d ≥ 2, wegiveexamplesofddimensional periodic lattices on which the hardcore and Widom–Rowlinson models exhibit a phase transition which is monotonic, in the sense
A monotonicity result for hardcore and WidomRowlinson models on certain ddimensional lattices
, 2001
"... For each d 2, we give examples of ddimensional periodic lattices on which the hardcore and WidomRowlinson models exhibit a phase transition which is monotonic, in the sense that there exists a critical value c for the activity parameter , such that there is a unique Gibbs measure (resp. multi ..."
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Cited by 3 (0 self)
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For each d 2, we give examples of ddimensional periodic lattices on which the hardcore and WidomRowlinson models exhibit a phase transition which is monotonic, in the sense that there exists a critical value c for the activity parameter , such that there is a unique Gibbs measure (resp
Mathematical 9 SpringerVerlag 1995 The Analysis of the WidomRowlinson Model by Stochastic Geometric Methods
, 1994
"... Abstract: We study the continuum WidomRowlinson model of interpenetrating spheres. Using a new geometric representation for this system, we provide a simple percolationbased proof of the phase transition. We also use this representation to formulate the problem, and prove the existence of an inter ..."
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Abstract: We study the continuum WidomRowlinson model of interpenetrating spheres. Using a new geometric representation for this system, we provide a simple percolationbased proof of the phase transition. We also use this representation to formulate the problem, and prove the existence
Coarsegraining diblock copolymer solutions: a macromolecular version of the Widom–Rowlinson model
, 2005
"... We propose a systematic coarsegrained representation of block copolymers, whereby each block is reduced to a single ‘soft blob ’ and effective intra as well as intermolecular interactions act between centres of mass of the blocks. The coarsegraining approach is applied to simple athermal lattice ..."
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models of symmetric AB diblock copolymers, in particular to a Widom–Rowlinsonlike model where blocks of the same species behave as ideal polymers (i.e. freely interpenetrate), while blocks of opposite species are mutually avoiding walks. This incompatibility drives microphase separation for copolymer
Results 1  10
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116