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One-dimensional Janus fluids. Exact solution and mapping from the quenched to the annealed system. (English) Zbl 1457.82341


MSC:

82C40 Kinetic theory of gases in time-dependent statistical mechanics
60K40 Other physical applications of random processes
82M31 Monte Carlo methods applied to problems in statistical mechanics
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References:

[1] Likos C N 2001 Effective interactions in soft condensed matter physics Phys. Rep.348 267-439
[2] Lekkerkerker H N W and Tuinier R 2011 Colloids and the Depletion Interaction(Lecture Notes in Physics vol 833) (Heidelberg: Springer)
[3] Roh K H, Martin D C and Lahann J 2005 Biphasic Janus particles with nanoscale anisotropy Nat. Mater.4 759-63
[4] Wang B, Li B, Zhao B and Li C Y 2008 Amphiphilic Janus gold nanoparticles via combining ‘solid-state grafting-to’ and ‘grafting-from’ methods J. Am. Chem. Soc.130 11594-5
[5] Walther A and Müller A H E 2013 Janus particles: synthesis, self-assembly, physical properties, and applications Chem. Rev.113 5194-261
[6] Binks B P and Fletcher P D I 2001 Particles adsorbed at the oil-water interface: a theoretical comparison between spheres of uniform wettability and ‘Janus’ particles Langmuir17 4708-10
[7] Fantoni R 2013 The Janus Fluid: A Theoretical Perspective (New York: Springer) · Zbl 1287.82002
[8] Sciortino F, Giacometti A and Pastore G 2009 Phase diagram of Janus particles Phys. Rev. Lett.103 237801
[9] Yuet K P, Hwang D K, Haghgooie R and Doyle P S 2010 Multifunctional superparamagnetic Janus particles Langmuir26 4281-7
[10] Onishi S, Tokuda M, Suzuki T and Minami H 2015 Preparation of Janus particles with different stabilizers and formation of one-dimensional particle arrays Langmuir31 674-8
[11] Kern N and Frenkel D 2003 Fluid-fluid coexistence in colloidal systems with short-ranged strongly directional attraction J. Chem. Phys.118 9882-9
[12] Fisher M E and Widom B 1969 Decay of correlations in linear systems J. Chem. Phys.50 3756-72
[13] Lebowitz J L and Zomick D 1971 Mixtures of hard spheres with nonadditive diameters: some exact results and solution of PY equation J. Chem. Phys.54 3335-46
[14] Heying M and Corti D S 2004 The one-dimensional fully non-additive binary hard rod mixture: exact thermophysical properties Fluid Phase Equil.220 85-103
[15] Santos A 2014 Playing with Marbles: Structural and Thermodynamic Properties of Hard-Sphere Systems 5th Warsaw School of Statistical Physics ed B Cichocki, M Napiórkowski and J Piasecki (Warsaw: Warsaw University Press)
[16] Santos A 2016 A Concise Course on the Theory of Classical Liquids. Basics and Selected Topics(Lecture Notes in Physics vol 923) (New York: Springer)
[17] Fantoni R and Santos A 2017 One-dimensional fluids with second nearest-neighbor interactions J. Stat. Phys.169 1171-201 · Zbl 1387.82050
[18] Montero A M and Santos A 2019 Triangle-well and ramp interactions in one-dimensional fluids: a fully analytic exact solution J. Stat. Phys.175 269-88 · Zbl 1419.82067
[19] Hansen J P and McDonald I R 2006 Theory of Simple Liquids 3rd edn (London: Academic)
[20] Tonks L 1936 The complete equation of state of one, two and three-dimensional gases of hard elastic spheres Phys. Rev.50 955-63 · Zbl 0015.33503
[21] Baxter R J 1968 Percus-Yevick equation for hard spheres with surface adhesion J. Chem. Phys.49 2770-4
[22] Maestre M A G, Fantoni R, Giacometti A and Santos A 2013 Janus fluid with fixed patch orientations: theory and simulations J. Chem. Phys.138 094904
[23] Fantoni R, Giacometti A, Maestre M A G and Santos A 2013 Phase diagrams of Janus fluids with up-down constrained orientations J. Chem. Phys.139 174902
[24] Perry P and Throop G J 1972 Decay of pair correlations in hard sphere fluids J. Chem. Phys.57 1827-9 Notice that the numerical values in the two last columns of table I of this reference are not correct
[25] Fantoni R, Giacometti A, Malijevský A and Santos A 2010 A numerical test of a high-penetrability approximation for the one-dimensional penetrable-square-well model J. Chem. Phys.133 024101
[26] Grodon C, Dijkstra M, Evans R and Roth R 2004 Decay of correlation functions in hard-sphere mixtures: structural crossover J. Chem. Phys.121 7869-82
[27] Statt A, Pinchaipat R, Turci F, Evans R and Royall C P 2016 Direct observation in 3d of structural crossover in binary hard sphere mixtures J. Chem. Phys.144 144506
[28] Pieprzyk S, Brańka A C, Yuste S B, Santos A and de Haro M L 2020 Structural properties of additive binary hard-sphere mixtures Phys. Rev. E 101 012117
[29] Frenkel D and Smit B 2002 Understanding Molecular Simulation: From Algorithms to Applications 2nd edn (San Diego: Academic)
[30] Katzgraber H G 2011 Introduction to Monte Carlo methods (arXiv:0905.1629v3)
[31] Fantoni R 2017 Lectures on quantum Monte Carlo http://www-dft.ts.infn.it/ rfantoni/research/qmc.pdf
[32] van Hove L 1950 Sur l’intégrale de configuration pour les systèmes de particules à une dimension Physica16 137-43 · Zbl 0037.41201
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