Search Results - "Šamaj, Ladislav"
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Short-Distance Symmetry of Pair Correlations in Two-Dimensional Jellium
Published in Journal of statistical physics (2020)“…We consider the two-dimensional one-component plasma (jellium) of mobile pointlike particles with the same charge e , interacting pairwisely by the logarithmic…”
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2
Like-Charge Attraction at the Nanoscale: Ground-State Correlations and Water Destructuring
Published in The journal of physical chemistry. B (28-04-2022)“…Like-charge attraction, driven by ionic correlations, challenges our understanding of electrostatics both in soft and hard matter. For two charged planar…”
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3
Structural transitions in interacting lattice systems
Published in Analysis and mathematical physics (01-04-2024)“…We consider two-dimensional systems of point particles located on rectangular lattices and interacting via pairwise potentials. The goal of this paper is to…”
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Attraction of Like-Charged Walls with Counterions Only: Exact Results for the 2D Cylinder Geometry
Published in Journal of statistical physics (01-12-2020)“…We study a 2D system of identical mobile particles on the surface of a cylinder of finite length d and circumference W , immersed in a medium of dielectric…”
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5
Fourth Moment of the Charge Density Induced Around a Guest Charge in Two-Dimensional Jellium
Published in Journal of statistical physics (01-06-2019)“…The model under consideration is the classical two-dimensional one-component plasma (jellium) of pointlike particles with charge e , interacting pairwisely via…”
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6
Logarithmic Finite-Size Correction in Non-neutral Two-Component Plasma on Sphere
Published in Journal of statistical physics (01-10-2018)“…We consider a general two-component plasma of classical pointlike charges + e ( e is say the elementary charge) and - Z e (valency Z = 1 , 2 , … ), living on…”
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7
Finite-Size Effects in Non-neutral Two-Dimensional Coulomb Fluids
Published in Journal of statistical physics (01-07-2017)“…Thermodynamic potential of a neutral two-dimensional (2D) Coulomb fluid, confined to a large domain with a smooth boundary, exhibits at any (inverse)…”
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8
Counterions at highly charged interfaces: from one plate to like-charge attraction
Published in Physical review letters (18-02-2011)“…We present an analytical approach for similarly and highly charged planar interfaces in the presence of counterions. The procedure is physically transparent…”
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9
Counter-Ions Near a Charged Wall: Exact Results for Disc and Planar Geometries
Published in Journal of statistical physics (01-10-2015)“…Macromolecules, when immersed in a polar solvent like water, become charged by a fixed surface charge density which is compensated by “counter-ions” moving out…”
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10
Amplitude Function of Asymptotic Correlations Along Charged Wall in Coulomb Fluids
Published in Journal of statistical physics (01-07-2016)“…In classical semi-infinite Coulomb fluids, two-point correlation functions exhibit a slow inverse-power law decay along a uniformly charged wall. In this work,…”
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11
Generation of off-critical zeros for hypercubic Epstein zeta functions
Published in Applied mathematics and computation (15-01-2022)“…•The generation mechanism of off-critical zeros starting from special critical zeros is revealed for Epstein zeta-functions.•The exact analysis of the Epstein…”
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12
Thermodynamics of Two-Component Log-Gases with Alternating Charges
Published in Journal of statistical physics (01-08-2013)“…We consider a one-dimensional gas of positive and negative unit charges interacting via a logarithmic potential, which is in thermal equilibrium at the…”
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13
Rich Polymorphic Behavior of Wigner Bilayers
Published in Physical review letters (09-09-2016)“…Self-assembly into target structures is an efficient material design strategy. Combining analytical calculations and computational techniques of evolutionary…”
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14
A correlation-hole approach to the electric double layer with counter-ions only
Published in Molecular physics (17-11-2018)“…We study a classical system of identically charged counter-ions near a planar wall carrying a uniform surface charge density. The equilibrium statistical…”
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15
Novel summation formulas for Jacobi and Gegenbauer polynomials
Published in Integral transforms and special functions (02-01-2022)“…Thermal equilibrium of a two-dimensional model of mobile point-like charges with pair logarithmic interactions, immersed in a fixed neutralising background, is…”
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16
Three‐dimensional lattice ground states for Riesz and Lennard‐Jones–type energies
Published in Studies in applied mathematics (Cambridge) (01-01-2023)“…The Riesz potential fs(r)=r−s$f_s(r)=r^{-s}$ is known to be an important building block of many interactions, including Lennard‐Jones–type potentials…”
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17
Quasi-universality in mixed salt-free counterion systems
Published in Europhysics letters (01-04-2017)“…The screening of plate-plate interactions by counterions is an age-old problem. We revisit this classic question when counterions exhibit a distribution of…”
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18
Critical properties of the eight-vertex model in a field
Published in Europhysics letters (01-09-2016)“…The general eight-vertex model on a square lattice is studied numerically by using the Corner Transfer Matrix Renormalization Group method. The method is…”
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19
Ground state of classical bilayer Wigner crystals
Published in Europhysics letters (01-05-2012)“…We study the ground-state structure of electronic-like bilayers, where different phases compete upon changing the inter-layer separation or particle density…”
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20
Ground-state structure of a bilayer Wigner crystal with repulsive dielectric images
Published in Europhysics letters (01-12-2012)“…We study the ground-state structures of identical classical point charges with Coulomb interactions, confined between two symmetric parallel charged walls. For…”
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