Article
Physics, Fluids & Plasmas
Balazs Pozsgay, Arthur Hutsalyuk, Levente Pristyak, Gabor Takacs
Summary: In this paper, we introduce an integrable spin ladder model and study its exact solution, correlation functions, and entanglement properties. The sublattice entanglement is also analyzed using numerical methods.
Article
Physics, Multidisciplinary
Martin R. Evans, Satya N. Majumdar, Gregory Schehr
Summary: In this study, we investigate the survival probability and encounter frequency distribution of a diffusing particle (prey) interacting with a swarm of diffusing predators. The results reveal that both the survival probability and encounter frequency distribution depend on the parameters of the model, and the numerical simulations agree well with the analytical results.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Chemistry, Physical
A. Nagy
Summary: A recently developed variant of density functional theory uses a set of spherically symmetric densities instead of the density itself. The exact functionals for this new theory are unknown, similar to the standard density functional theory. In order to test approximate functionals, analytically solvable models are introduced. These models include a harmonic molecular ion, an analogue to the hydrogen molecule ion, and a harmonic two-electron molecule showing analogy to the hydrogen molecule. It has been discovered that the wave function and the density can be expressed analytically, along with the exact spherical densities and effective potentials of the Euler equations. The models have also been shown to be easily extendable to multiple nuclei.
JOURNAL OF CHEMICAL PHYSICS
(2023)
Article
Physics, Multidisciplinary
Christian J. Eckhardt, Giacomo Passetti, Moustafa Othman, Christoph Karrasch, Fabio Cavaliere, Michael A. Sentef, Dante M. Kennes
Summary: Recent experimental advances have allowed the manipulation of quantum matter using the quantum nature of light. However, there is a lack of exactly solvable models in the solid-state quantum materials context. In this study, a solvable model coupling a tight-binding chain to a single cavity mode is presented, and important properties of the system are revealed.
COMMUNICATIONS PHYSICS
(2022)
Article
Materials Science, Multidisciplinary
Kun Yang
Summary: The model introduced supports Fermi arcs in its ground state and excitation spectrum, which come in pairs and merge into a pseudo-Fermi surface. Along this surface, fermions are gapped, with the fermion gap being identified as a pseudogap. A comparison will be made with the phenomenology of high-temperature cuprate superconductors.
Article
Physics, Multidisciplinary
Carolyn Zhang, Michael Levin
Summary: We propose an exactly solvable lattice model to study the deconfined quantum critical point (DQCP) in (1+1) dimensions, which occurs at the edge of a (2+1) dimensional bosonic symmetry protected topological (SPT) phase with 7L2 x 7L2 symmetry. The DQCP describes a transition between two gapped edges that break different 7L2 subgroups of the full 7L2 x 7L2 symmetry. This model provides an exact mapping between the SPT edge theory and a 7L4 spin chain, revealing the close relationship between DQCPs in this system and ordinary 7L4 symmetry breaking critical points.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
F. Caravelli
Summary: In this article, three exactly solvable spin models of geometric frustration are discussed. These models include a subfamily of the 16 vertex model, a generalization of Villain's fully frustrated model, and spin ice models on a tree.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Physics, Multidisciplinary
Abhishek Anand, J. K. Jain, G. J. Sreejith
Summary: The study examines the states of strongly interacting particles, focusing on two-dimensional electrons in a magnetic field with a model short-range interaction. The model reveals a fractional quantum Hall effect and shares many topological properties with the Coulomb ground states, showing similar edge physics and fractional charge of excitations.
PHYSICAL REVIEW LETTERS
(2021)
Article
Engineering, Electrical & Electronic
Benjamin K. Rhea, R. Chase Harrison, Frank T. Werner, Edmon Perkins, Robert N. Dean
Summary: An alternative implementation of a chaotic oscillator circuit was proposed, replacing the previously used op amp based NIC sinusoidal oscillator subcircuit with a single BJT Colpitts oscillator subcircuit. Despite an increase in the system's order and additional nonlinearities, simulation and hardware testing results showed that its performance was comparable to the exactly solvable chaotic system. The evaluation of the resulting oscillator circuit demonstrated chaotic dynamics comparable to the ideal exactly solvable chaotic system.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2021)
Article
Chemistry, Physical
Taras Verkholyak, Andrij Kuzmak, Svyatoslav Kondrat
Summary: Understanding charge storage in low-dimensional electrodes is crucial for developing novel ecologically friendly devices for capacitive energy storage and conversion and water desalination. We developed a versatile, exactly solvable, one-dimensional off-lattice model for charging single-file pores, which showed excellent quantitative agreement with three-dimensional Monte Carlo simulations. The camel-shaped capacitance appears for strongly ionophilic pores with high ion densities, related to charging mechanisms specific to narrow pores.
JOURNAL OF CHEMICAL PHYSICS
(2021)
Article
Physics, Multidisciplinary
Angel Ricardo Plastino, Diana Monteoliva, Angelo Plastino
Summary: The study focuses on information and complexity indicators in finite quantum many fermion systems, revealing new aspects of their structure and behavior. By comparing different fermion systems using information measures, it is shown that few fermion systems exhibit higher complexity than many fermion systems. The behavior of the two lowest energy states is crucial in evaluating the complexity of the system.
Article
Mechanics
Neha Tyagi, Binny J. Cherayil
Summary: Recent experimental reports have reignited the debate on the reality of activity-induced enhanced mobility. Using a one-dimensional model of two-state Brownian dynamics, researchers found that chemical reactivity can both increase and decrease the average displacement of particles.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Crystallography
Ilya O. Starodumov, Ekaterina A. Titova, Eugeny Pavlyuk, Dmitri Alexandrov
Summary: In this study, we investigate the flow around the tip of a dendritic crystal using an inclined stream of viscous incompressible liquid. Our simulations demonstrate that the inclination of the stream has a significant impact on the hydrodynamic flow and shear stress, which leads to potential differences in heat and mass transfer mechanisms between the upstream and downstream sides of the growing dendritic crystal.
Article
Physics, Mathematical
Ryu Sasaki
Summary: This paper presents 15 explicit examples of exactly solvable discrete time birth and death processes, which are related to hypergeometric orthogonal polynomials. The examples include various types of polynomials, and the birth and death rates are determined by difference equations governing the polynomials.
JOURNAL OF MATHEMATICAL PHYSICS
(2022)
Article
Materials Science, Multidisciplinary
Sreejith Chulliparambil, Lukas Janssen, Matthias Vojta, Hong-Hao Tu, Urban F. P. Seifert
Summary: We study exactly solvable spin-orbital models in two dimensions, which realize various spin-orbital-liquid phases and discuss the effects of magnetic fields and biquadratic spin-orbital perturbations. By analyzing different models and symmetries, we extend the list of exactly solvable models with spin-orbital-liquid ground states.
Article
Physics, Multidisciplinary
Samapan Bhadury, Wojciech Florkowski, Amaresh Jaiswal, Avdhesh Kumar, Radoslaw Ryblewski
Summary: In this study, equations for relativistic dissipative nonresistive magnetohydrodynamics are derived based on the kinetic theory description of massive spin-1/2 particles in the presence of a magnetic field. By using a relaxation-time approximation for the collision kernel in the relativistic Boltzmann equation and calculating nonequilibrium corrections to the phase-space distribution function of spin-polarizable particles, the framework naturally leads to the emergence of the well-known Einstein-de Haas and Barnett effects. The coupling between spin and magnetic field is shown to appear at gradient order in the hydrodynamic equation for the first time.
PHYSICAL REVIEW LETTERS
(2022)
Proceedings Paper
Physics, Multidisciplinary
Wojciech Florkowski, Avdhesh Kumar, Aleksas Mazeliauskas, Radoslaw Ryblewski
Summary: This article briefly reviews the thermal model predictions related to the longitudinal spin polarization of lambda hyperons emitted from a hot and rotating hadronic medium produced in non-central relativistic heavy-ion collisions.
ACTA PHYSICA POLONICA B PROCEEDINGS SUPPLEMENT
(2023)
Article
Astronomy & Astrophysics
Sourav Dey, Wojciech Florkowski, Amaresh Jaiswal, Radoslaw Ryblewski
Summary: The pseudogauge freedom or symmetry is an arbitrary choice in the redistribution of energy, linear momentum, and angular momentum. The canonical version of the spin tensor is advantageous in describing spin-polarization observables and fulfilling the algebra of angular momentum, which highlights the importance of connecting theory and experiment.
Article
Astronomy & Astrophysics
Rajesh Biswas, Asaad Daher, Arpan Das, Wojciech Florkowski, Radoslaw Ryblewski
Summary: We numerically solve the boost-invariant equations of spin hydrodynamics confined to the first-order terms in gradients. The spin equation of state is consistently included in the first order, which relates the spin density tensor to the spin chemical potential. Depending on the form and structure of the spin transport coefficients, we find solutions that are both stable and unstable within the considered evolution times of 10 fm/c. These findings complement the recent identification of stable and unstable modes for perturbed uniform spin systems described by similar hydrodynamic frameworks.
Article
Astronomy & Astrophysics
Asaad Daher, Arpan Das, Radoslaw Ryblewski
Summary: We study the stability of first-order dissipative spin-hydrodynamic frameworks. Two different frameworks are considered, one with a first-order spin-chemical potential and the other with a spin-chemical potential similar to first order. Linear perturbations reveal instabilities in spin modes for both cases. The Frenkel condition is used to eliminate these instabilities, but it has a physical drawback for the case with a spin-chemical potential similar to first order.
Article
Physics, Nuclear
Szymon Harabasz, Jedrzej Kolas, Radoslaw Ryblewski, Wojciech Florkowski, Tetyana Galatyuk, Malgorzata Gumberidze, Piotr Salabura, Joachim Stroth, Hanna Paulina Zbroszczyk
Summary: In this study, a spheroidal model of the expansion of hadronic matter produced in heavy-ion collisions in the few-GeV energy regime is proposed. This model is an extension of the spherically symmetric Siemens-Rasmussen blastwave model used in previous works and combines the spheroidal form of the expansion with a single-freeze-out scenario. The improved description of both the transverse-mass and the rapidity distributions of the produced particles is achieved. With the model parameters determined by the hadronic abundances and spectra, further predictions of the pion Hanbury-Brown-Twiss correlation radii are made and found to be in qualitative agreement with the measured ones. The successful description of the data supports the concept of spheroidal symmetry of the produced hadronic systems in this energy range.
Article
Physics, Multidisciplinary
Arpan Das, Wojciech Florkowski, Avdhesh Kumar, Radoslaw Ryblewski, Rajeev Singh
Summary: This study employs the Wigner function formalism to describe the quantum kinetic theory of interacting massive spin-half fermions. By utilizing the semi-classical expansion method, a set of generalized dynamical equations including spin are derived, establishing a framework for spin hydrodynamics.
ACTA PHYSICA POLONICA B
(2023)
Article
Physics, Nuclear
Wojciech Florkowski, Radoslaw Ryblewski
Summary: The physics interpretation of recent measurements of spin polarization of A hyperons produced in relativistic heavy-ion collisions is discussed. It is suggested that the polarization should be projected along the direction of the total angular momentum and then averaged over A hyperons with different momenta. This treatment may be important for studying high-energy hyperons.
Article
Astronomy & Astrophysics
Victor E. Ambrus, Radoslaw Ryblewski, Rajeev Singh
Summary: In this study, the propagation properties of spin degrees of freedom were analyzed within the framework of relativistic hydrodynamics. The analytical expression for the spin wave velocity was derived, showing that it approaches half the speed of light in the ultrarelativistic limit. It was found that only the transverse degrees of freedom propagate, similar to electromagnetic waves. Additionally, the effect of dissipative corrections and the damping coefficients for the case of Maxwell-Jüttner statistics were considered.
Article
Physics, Multidisciplinary
Arpan Das, Wojciech Florkowski, Radoslaw Ryblewski, Rajeev Singh
Summary: We analyzed the quantum features of baryon number fluctuations in subsystems of a hot and dense relativistic gas of fermions. Our findings show that the fluctuations in small systems differ significantly from the values known in statistical physics and diverge as the system size approaches zero. Numerical results obtained for a wide range of thermodynamic parameters expected in heavy-ion collisions are presented, which can provide new insights and interpretations of experimental data.
ACTA PHYSICA POLONICA B
(2022)
Article
Physics, Nuclear
Wojciech Florkowski, Avdhesh Kumar, Aleksas Mazeliauskas, Radoslaw Ryblewski
Summary: In this study, we use a thermal model to analyze the longitudinal polarization in a hot and rotating hadronic medium, considering the contribution of the thermal shear term. Our results show that the thermal shear term alone leads to the correct sign of the quadrupole structure in the longitudinal polarization, different from previous calculations that only considered the thermal vorticity. However, there is almost complete cancellation between the thermal shear and vorticity terms, resulting in disagreement with the experimental data. Further analysis reveals the role played by velocity and temperature gradient terms in the longitudinal polarization. Finally, replacing the mass term leads to agreement with the data.
Article
Astronomy & Astrophysics
Wojciech Florkowski, Radoslaw Ryblewski, Rajeev Singh, Gabriel Sophys
Summary: The evolution of spin polarization in the framework of hydrodynamics reveals that the nonboost invariant flow in the system leads to coupling between spin polarization components, impacting observables. The study of mean spin polarization vector for ? hyperons shows qualitative agreement with experiments and other models in terms of rapidity dependence of global spin polarization, with the absence of quadrupole structure in the longitudinal component at midrapidity. However, some nontrivial signals at forward rapidities are observed in comparison to results for Bjorken expansion.