Energy-landscape analysis of the two-dimensional nearest-neighbor φ4 model

doi:10.1103/PhysRevE.85.061103

Title: Energy-landscape analysis of the two-dimensional nearest-neighbor φ⁴ model

Authors:: Mehta, Dhagash; Hauenstein, Jonathan D.; Kastner, Michael

Publication Date:: 2012-06-04

Sponsoring Org.:: USDOE

OSTI Identifier:: 1103481

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

Additional Journal Information:: Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics Journal Volume: 85 Journal Issue: 6; Journal ID: ISSN 1539-3755

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Mehta, Dhagash, Hauenstein, Jonathan D., and Kastner, Michael. Energy-landscape analysis of the two-dimensional nearest-neighbor φ4 model.  United States: N. p., 2012. 
        Web.  doi:10.1103/PhysRevE.85.061103.

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                    Mehta, Dhagash, Hauenstein, Jonathan D., & Kastner, Michael. Energy-landscape analysis of the two-dimensional nearest-neighbor φ4 model.  United States.  doi:10.1103/PhysRevE.85.061103.

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                    Mehta, Dhagash, Hauenstein, Jonathan D., and Kastner, Michael. Mon .  
        "Energy-landscape analysis of the two-dimensional nearest-neighbor φ4 model".  United States.  doi:10.1103/PhysRevE.85.061103.

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@article{osti_1103481,

  title        = {Energy-landscape analysis of the two-dimensional nearest-neighbor φ4 model},

  author       = {Mehta, Dhagash and Hauenstein, Jonathan D. and Kastner, Michael},

  abstractNote = {},

  doi          = {10.1103/PhysRevE.85.061103},

  journal      = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},

  number       = 6,

  volume       = 85,

  place        = {United States},

  year         = {2012},

  month        = {6}

}

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DOI: 10.1103/PhysRevE.85.061103

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Similar Records

Title: Energy-landscape analysis of the two-dimensional nearest-neighbor φ4 model

Citation Formats

Phase Transitions Induced by Saddle Points of Vanishing Curvature journal, April 2008

Stationary-point approach to the phase transition of the classical XY chain with power-law interactions journal, March 2011

Finite-size scaling analysis of the ?4 field theory on the square lattice journal, September 1986

Topology and phase transitions I. Preliminary results journal, October 2007

Theorem on the Origin of Phase Transitions journal, February 2004

Saddle index properties, singular topology, and its relation to thermodynamic singularities for a ϕ 4 mean-field model journal, September 2004

Geometric approach to Hamiltonian dynamics and statistical mechanics journal, October 2000

HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method journal, October 2008

Finding all the stationary points of a potential-energy landscape via numerical polynomial-homotopy-continuation method journal, August 2011

Phase transitions and configuration space topology journal, January 2008

Topological approach to phase transitions and inequivalence of statistical ensembles journal, January 2006

Phase Transitions from Saddles of the Potential Energy Landscape journal, July 2007

Topological signature of first-order phase transitions in a mean-field model journal, June 2003

Monte Carlo methods in statistical physics: Mathematical foundations and strategies journal, June 2010

Exact result on topology and phase transitions at any finite N journal, February 2002

Topology and Phase Transitions: Paradigmatic Evidence journal, March 2000

Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation journal, June 1999

Numerical Polynomial Homotopy Continuation Method and String Vacua journal, January 2011

Nonanalyticities of the entropy induced by saddle points of the potential energy landscape journal, April 2008

Relationship between phase transitions and topological changes in one-dimensional models journal, July 2005

Role of saddles in topologically driven phase transitions: The case of the d -dimensional spherical model journal, May 2008

Phase Transitions Detached from Stationary Points of the Energy Landscape journal, October 2011

Unattainability of a Purely Topological Criterion for the Existence of a Phase Transition for Nonconfining Potentials journal, October 2004

Topological aspects of geometrical signatures of phase transitions journal, November 1999

Equation of State Calculations by Fast Computing Machines journal, June 1953

Stationary point analysis of the one-dimensional lattice Landau gauge fixing functional, aka random phase XY Hamiltonian journal, June 2011

Energy landscape and phase transitions in the self-gravitating ring model journal, December 2009

Topological properties of the mean-field ϕ 4 model journal, October 2004

Title: Energy-landscape analysis of the two-dimensional nearest-neighbor φ⁴ model

Phase Transitions Induced by Saddle Points of Vanishing Curvature
journal, April 2008

Stationary-point approach to the phase transition of the classical $XY$ chain with power-law interactions
journal, March 2011

Finite-size scaling analysis of the ?4 field theory on the square lattice
journal, September 1986

Topology and phase transitions I. Preliminary results
journal, October 2007

Theorem on the Origin of Phase Transitions
journal, February 2004

Saddle index properties, singular topology, and its relation to thermodynamic singularities for a $ϕ^{4}$ mean-field model
journal, September 2004

Geometric approach to Hamiltonian dynamics and statistical mechanics
journal, October 2000

HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method
journal, October 2008

Finding all the stationary points of a potential-energy landscape via numerical polynomial-homotopy-continuation method
journal, August 2011

Phase transitions and configuration space topology
journal, January 2008

Topological approach to phase transitions and inequivalence of statistical ensembles
journal, January 2006

Phase Transitions from Saddles of the Potential Energy Landscape
journal, July 2007

Topological signature of first-order phase transitions in a mean-field model
journal, June 2003

Monte Carlo methods in statistical physics: Mathematical foundations and strategies
journal, June 2010

Exact result on topology and phase transitions at any finite N
journal, February 2002

Topology and Phase Transitions: Paradigmatic Evidence
journal, March 2000

Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation
journal, June 1999

Numerical Polynomial Homotopy Continuation Method and String Vacua
journal, January 2011

Nonanalyticities of the entropy induced by saddle points of the potential energy landscape
journal, April 2008

Relationship between phase transitions and topological changes in one-dimensional models
journal, July 2005

Role of saddles in topologically driven phase transitions: The case of the $d$ -dimensional spherical model
journal, May 2008

Phase Transitions Detached from Stationary Points of the Energy Landscape
journal, October 2011

Unattainability of a Purely Topological Criterion for the Existence of a Phase Transition for Nonconfining Potentials
journal, October 2004

Topological aspects of geometrical signatures of phase transitions
journal, November 1999

Equation of State Calculations by Fast Computing Machines
journal, June 1953

Stationary point analysis of the one-dimensional lattice Landau gauge fixing functional, aka random phase XY Hamiltonian
journal, June 2011

Energy landscape and phase transitions in the self-gravitating ring model
journal, December 2009

Topological properties of the mean-field $ϕ^{4}$ model
journal, October 2004