Thermodynamics of statistical anyons

NM Myers, S Deffner - PRX Quantum, 2021 - APS
In low-dimensional systems, indistinguishable particles can display statistics that interpolate
between bosons and fermions. Signatures of these “anyons” have been detected in two …

Path-integral Fujikawa's approach to anomalous virial theorems and equations of state for systems with SO (2, 1) symmetry

CR Ordóñez - Physica A: Statistical Mechanics and its Applications, 2016 - Elsevier
We derive anomalous equations of state for nonrelativistic 2D complex bosonic fields with
contact interactions, using Fujikawa's path-integral approach to anomalies and scaling …

Statistical mechanics of an ideal gas of non-Abelian anyons

F Mancarella, A Trombettoni, G Mussardo - Nuclear Physics B, 2013 - Elsevier
We study the thermodynamical properties of an ideal gas of non-Abelian Chern–Simons
particles and we compute the second virial coefficient, considering the effect of general soft …

Exclusion statistics in a trapped two-dimensional Bose gas

TH Hansson, JM Leinaas, S Viefers - Physical Review Letters, 2001 - APS
We study the statistical mechanics of a two-dimensional Bose gas with a repulsive delta-
function interaction, using a mean-field approximation. By a direct counting of states we …

[HTML][HTML] Energy–pressure relation for low-dimensional gases

F Mancarella, G Mussardo, A Trombettoni - Nuclear Physics B, 2014 - Elsevier
A particularly simple relation of proportionality between internal energy and pressure holds
for scale-invariant thermodynamic systems (with Hamiltonians homogeneous functions of …

Levinson's theorem and scattering phase-shift contributions to the partition function of interacting gases in two dimensions

ME Portnoi, I Galbraith - Physical Review B, 1998 - APS
We consider scattering state contributions to the partition function of a two-dimensional (2D)
plasma in addition to the bound-state sum. A partition function continuity requirement is used …

Quantum Engines at the Frontiers of Physics

N Myers - 2022 - search.proquest.com
Thermodynamics was developed at the dawn of the industrial revolution to understand and
optimize the new disruptive technology of the time, the steam engine. Emerging quantum …

Exclusion statistics in a two-dimensional trapped Bose gas

S Viefers, TH Hansson, JM Leinaas - Journal of Physics B …, 2001 - iopscience.iop.org
We briefly explain the notion of exclusion statistics and, in particular, discuss the concept of
an ideal exclusion statistics gas. We then review recent work where it is demonstrated that a …

Bose–Einstein condensation in the presence of an impurity

P Giacconi, F Maltoni, R Soldati - Physics Letters A, 2001 - Elsevier
It is shown that Bose–Einstein condensation occurs for an ideal gas in two spatial
dimensions in the presence of one impurity which is described quantum mechanically in …

Second virial coefficient of anyons without hard core

C Kim - Physics Letters B, 1998 - Elsevier
We calculate the second virial coefficient of anyons whose wave function does not vanish at
coincidence points. This kind of anyons appear naturally when one generalizes the hard …