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We develop a theory of non-relativistic bosons in two spatial dimensions with a weak short range attractive interaction. In the limit as the range of the interaction becomes small, there is an ultra-violet divergence in the problem. We…

High Energy Physics - Theory · Physics 2007-05-23 S. G. Rajeev

The ground state and its structure for a rotating, harmonically trapped N-Boson system with a weak repulsive contact interaction are studied as the angular momentum L increases up to 3N. We show that the ground state is generally a…

Statistical Mechanics · Physics 2009-10-31 Xia-Ji Liu , Hui Hu , Lee Chang , Weiping Zhang , Shi-Qun Li , Yu-Zhu Wang

Thermodynamical properties of an interacting system of scalar bosons at finite temperatures are studied within the framework of a field-theoretical model containing the attractive and repulsive self-interaction terms. Self-consistency…

Nuclear Theory · Physics 2019-08-28 I. N. Mishustin , D. V. Anchishkin , L. M. Satarov , O. S. Stashko , H. Stoecker

We analyze the possible transition patterns exhibited by an effective non-relativistic field model describing interacting binary homogeneous dilute Bose gases whose overall potential is repulsive. We evaluate the temperature dependence of…

Soft Condensed Matter · Physics 2007-05-23 Marcus B. Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz

We describe Bose-Einstein condensation of strongly interacting particles into a quantum state which is an excited single-particle state, but becomes the ground state as density increases because it minimizes the interaction energy compared…

Quantum Gases · Physics 2013-11-05 Raina J. Olsen

Dilute Bose gases, cooled down to low temperatures below the Bose-Einstein condensation temperature, form coherent ensembles described by the Gross-Pitaevskii equation. Stationary solutions to the latter are topological coherent modes. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. I. Yukalov , E. P. Yukalova

We study real space condensation in aggregation-fragmentation models where the total mass is not conserved, as in phenomena like cloud formation and intracellular trafficking. We study the scaling properties of the system with influx and…

Statistical Mechanics · Physics 2015-06-15 Himani Sachdeva , Mustansir Barma , Madan Rao

A conserved generalized zero range process is considered in which two sites interact such that particles hop from the more populated site to the other with a probability $p$. The steady state particle distribution function $P(n)$ is…

Statistical Mechanics · Physics 2016-05-04 Abdul Khaleque , Parongama Sen

Non-equilibrium real-space condensation is a phenomenon in which a finite fraction of some conserved quantity (mass, particles, etc.) becomes spatially localised. We review two popular stochastic models of hopping particles that lead to…

Statistical Mechanics · Physics 2015-09-09 M. R. Evans , B. Waclaw

We show that the ground state interface geometry of binary condensates in the phase separated regime undergoes a smooth transition from planar to ellipsoidal to cylindrical geometry. This occurs for condensates with repulsive interactions…

Quantum Gases · Physics 2010-04-19 S. Gautam , D. Angom

In this paper, we investigate the general properties of lattice spin models that have string and/or membrane condensed ground states. We discuss the properties needed to define a string or membrane operator. We study three 3D spin models…

Strongly Correlated Electrons · Physics 2008-12-18 Alioscia Hamma , Paolo Zanardi , Xiao Gang Wen

We use extreme value statistics to study the dynamics of coarsening in aggregation-fragmentation models which form condensates in the steady state. The dynamics is dominated by the formation of local condensates on a coarsening length scale…

Statistical Mechanics · Physics 2023-03-27 Chandrashekar Iyer , Arghya Das , Mustansir Barma

The grand canonical thermodynamics of a bosonic system is studied in order to identify the footprint of its own high-density quantum phase transition. The phases displayed by the system at zero temperature establish recognizable patterns at…

Quantum Physics · Physics 2022-04-13 Miguel Alvarez , Jose Reslen

We look at two well known examples of interacting systems relating to condensed matter in which we put the strong interacting parameters. At high quark chemical potentials and low temperatures we study the entropy arising from the…

High Energy Physics - Phenomenology · Physics 2011-06-09 David E. Miller , Abdel-Nasser M. Tawfik

We study real-space condensation in a broad class of stochastic mass transport models. We show that the steady state of such models has a pair-factorised form which generalizes the standard factorized steady states. The condensation in this…

Statistical Mechanics · Physics 2007-05-23 M. R. Evans , T. Hanney , Satya N. Majumdar

A simple phenomenological model of a binary granular mixture is developed and investigated numerically. We attempt to model the experimental system of [1,2] where a horizontally vibrated binary monolayer was found to exhibit a transition…

Statistical Mechanics · Physics 2009-11-10 George C. M. A. Ehrhardt , Andrew Stephenson , Pedro M. Reis

A coarsened model for a binary system with limited miscibility of components is proposed; the system is described in terms of structural states in small parts of the material. The material is assumed to have two alternative types of…

Statistical Mechanics · Physics 2007-05-23 Leonid D. Son , German M. Rusakov , Alexander Z. Patashinski , Mark A. Ratner

Condensation is characterized with a single macroscopic condensate whose mass is proportional to a system size $N$. We demonstrate how important particle interactions are in condensation phenomena. We study a modified version of the…

Statistical Mechanics · Physics 2010-05-21 Sang-Woo Kim , Joongul Lee , Jae Dong Noh

In some models, dark matter is considered as a condensate bosonic system. In this paper, we prove that condensation is also possible for particles that obey infinite statistics and derive the critical condensation temperature. We argue that…

High Energy Physics - Theory · Physics 2013-12-03 Zahra Ebadi , Behrouz Mirza , Hosein Mohammadzadeh

The structure of the ground state beyond the instability point of the quasiparticle system with Fermi-step momentum distribution is studied within the model of a Fermi liquid with a strong repulsive interaction. A ground state rearrangement…

Condensed Matter · Physics 2009-10-31 M. V. Zverev , M. Baldo
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