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We apply the thermal (imaginary time) perturbative expansion to the relevant effective field theory to compute characteristics of the phase transition to the ordered state which can occur at low temperatures in the gas of (nonrelativistic)…

Quantum Gases · Physics 2023-09-27 Oskar Grocholski , Piotr H. Chankowski

Inspired by the well known sine-Gordon equation, we present a symmetric coupled system of two real scalar fields in $1+1$ dimensions. There are three different topological soliton solutions which be labelled according to their topological…

Pattern Formation and Solitons · Physics 2019-06-19 Mohammad Mohammadi , Nematollah Riazi

The relation between collective modes and the phase transition in low density nuclear matter is examined. The dispersion relations for collective modes in a linear approach are evaluated within a Landau-Fermi liquid scheme by assuming…

Nuclear Theory · Physics 2011-05-13 R. M. Aguirre , A. L. De Paoli

We propose a relationship between thermodynamic phase transitions and ground-state quantum phase transitions in systems with variable Hamiltonian parameters. It is based on a link between zeros of the canonical partition function at complex…

Nuclear Theory · Physics 2009-11-10 Pavel Cejnar , Stefan Heinze , Jan Dobes

We discuss the ground state and the small-amplitude excitations of dilute boson-fermion mixtures confined in spherical harmonic traps at $T = 0$, assuming repulsive boson-boson interactions and with each component being in a single…

Statistical Mechanics · Physics 2007-05-23 A. Minguzzi , M. P. Tosi

We present a framework for investigating the effects of interactions on crystalline symmetry-protected topological (SPT) phases. Within this framework, one can establish a direct connection between the equivalence classes of free-fermion…

Strongly Correlated Electrons · Physics 2024-12-02 Chen-Shen Lee , Ken Shiozaki , Chang-Tse Hsieh

We study the sine-Gordon quantum field theory at finite temperature by generalizing the method of random surfaces to compute the free energy and one-point functions of exponential operators non-perturbatively. Focusing on the gapped phase…

Statistical Mechanics · Physics 2025-06-11 M. Tóth , J. H. Pixley , D. Szász-Schagrin , G. Takács , M. Kormos

We study a single particle diffusing on a triangular lattice and interacting with a heat bath, using boundary conformal field theory (CFT) and exact integrability techniques. We derive a correspondence between the phase diagram of this…

Statistical Mechanics · Physics 2011-07-19 Ian Affleck , Masaki Oshikawa , Hubert Saleur

We show that a constriction-type Josephson junction realized by an epitactic thin film of a d-wave superconductor with an appropriate boundary geometry exhibits intrinsic phase differences between 0 and pi depending on geometric parameters…

Superconductivity · Physics 2009-11-13 A. Gumann , N. Schopohl

We study the quantum dynamics of a two-mode Bose-Einstein condensate in a time-dependent symmetric double-well potential using analytical and numerical methods. The effects of internal degrees of freedom on the visibility of interference…

Quantum Physics · Physics 2009-11-10 M. Jääskeläinen , W. Zhang , P. Meystre

In this paper, a one-phase Stefan-type problem for a semi-infinite material which has as its main feature a variable latent heat that depends on the power of the position and the velocity of the moving boundary is studied. Exact solutions…

Analysis of PDEs · Mathematics 2018-10-24 Julieta Bollati , Domingo A. Tarzia

The notion of higher-order topological phases can have interesting generalizations to systems with subsystem symmetries that exhibit fractonic dynamics for charged excitations. In this work, we systematically study the higher-order…

Strongly Correlated Electrons · Physics 2023-08-02 Jian-Hao Zhang , Meng Cheng , Zhen Bi

In this paper we study the local behavior of solutions to some free boundary problems. We relate the theory of quasi-conformal maps to the regularity of the solutions to nonlinear thin-obstacle problems; we prove that the contact set is…

Analysis of PDEs · Mathematics 2021-10-28 Guido De Philippis , Luca Spolaor , Bozhidar Velichkov

The scalar field theory and the scalar electrodynamics quantized in the flat gap are considered. The dynamical effects arising due to the boundary presence with two types of boundary conditions (BC) satisfied by scalar fields are studied.…

High Energy Physics - Theory · Physics 2015-07-27 A. N. Sissakian , O. Yu. Shevchenko , V. N. Samoilov

This paper applies the formalism of classical, Gibbs-Boltzmann statistical mechanics to the phenomenon of non-thermal damage. As an example, a non-thermal fiber-bundle model with the global uniform (meanfield) load sharing is considered.…

Statistical Mechanics · Physics 2008-10-01 S. G. Abaimov

A mixture of two types of hard-sphere bosons in a disk-shaped harmonic trap is studied through path-integral quantum Monte Carlo simulation at low temperature. We find that the system can undergo a phase transition to break the spatial…

Other Condensed Matter · Physics 2009-11-10 Hong Ma , Tao Pang

We obtain possibly valuable information about the phase diagram of rather dense composite particles at high fermion as well as boson number density but low temperature, which is not accessible to relativistic heavy ion collision…

General Physics · Physics 2007-05-23 Kwang-Hua W. Chu

We formulate and study a variational two-phase free boundary problem with Robin condition on the interface between the two phases, and we prove existence and regularity of solutions in dimension two

Analysis of PDEs · Mathematics 2022-04-04 Serena Guarino Lo Bianco , Domenico Angelo La Manna , Bozhidar Velichkov

We study viscosity solutions to the classical one-phase problem and its thin counterpart. In low dimensions, we show that when the free boundary is the graph of a continuous function, the solution is the half-plane solution. This answers,…

Analysis of PDEs · Mathematics 2023-11-13 Max Engelstein , Xavier Fernández-Real , Hui Yu

The study of spherical-deformed ground--state phase transitions in finite nuclei as a function of N and Z is hindered by the discrete values of the nucleon number. A resolution of the integer nucleon number problem, and evidence relating to…

Nuclear Experiment · Physics 2016-09-08 R. F. Casten , Dimitri Kusnezov , N. V. Zamfir
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