Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Heat Capacities of an Ideal Gas III01:25

Heat Capacities of an Ideal Gas III

2.2K
The number of independent ways a gas molecule can move along straight line, rotate, and vibrate is called its degrees of freedom. Supposing d represents the number of degrees of freedom of an ideal gas, the molar heat capacity at constant volume of an ideal gas in terms of d is
2.2K
Third Law of Thermodynamics02:38

Third Law of Thermodynamics

18.2K
A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.
18.2K
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

5.0K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
5.0K
Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

23.7K
An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
23.7K
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

6.8K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
6.8K
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

940
Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
940
  1. Home
  3. Research Domains
  5. Physical Sciences
  7. Condensed Matter Physics
  9. Surface Properties Of Condensed Matter
  11. Infinite Ground-state Degeneracy Of A Two-dimensional Athermal Lattice-gas.
  1. Home
  3. Research Domains
  5. Physical Sciences
  7. Condensed Matter Physics
  9. Surface Properties Of Condensed Matter
  11. Infinite Ground-state Degeneracy Of A Two-dimensional Athermal Lattice-gas.

Related Experiment Video

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

7.4K

Infinite ground-state degeneracy of a two-dimensional athermal lattice-gas.

Mauro Sellitto1

  • 1Dipartimento di Ingegneria, Università degli Studi della Campania "Luigi Vanvitelli," Via Roma 29, 81031 Aversa, Italy.

The Journal of Chemical Physics
|December 9, 2024

View abstract on PubMed

Summary
This summary is machine-generated.

This study investigated a 2D lattice gas model. Monte Carlo simulations revealed no phase transitions due to numerous ground states, with entropy scaling with system size.

More Related Videos

Trapping of Micro Particles in Nanoplasmonic Optical Lattice
07:20

Trapping of Micro Particles in Nanoplasmonic Optical Lattice

Published on: September 5, 2017

6.5K
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

9.5K

Related Experiment Videos

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

7.4K
Trapping of Micro Particles in Nanoplasmonic Optical Lattice
07:20

Trapping of Micro Particles in Nanoplasmonic Optical Lattice

Published on: September 5, 2017

6.5K
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

9.5K

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Investigating the phase behavior of lattice gas models is crucial for understanding material properties.
  • Hard-core particle interactions present unique challenges in statistical mechanics.

Purpose of the Study:

  • To study the ground state properties and phase behavior of a 2D lattice gas with specific nearest-neighbor constraints.
  • To determine if an ordering phase transition occurs in this model.

Main Methods:

  • Monte Carlo simulations were employed in the grand-canonical ensemble.
  • Analysis focused on thermodynamic behavior as chemical potential varied.

Main Results:

  • No singular thermodynamic behavior or ordering phase transition was observed.
  • The absence of a transition is attributed to a high degeneracy of ground states.
  • Ground state entropy was found to be proportional to the square root of the system size.

    • Conclusions:

    • The specific constraints on particle occupancy prevent typical ordering transitions.
    • The model exhibits rich ground state behavior governed by configurational entropy.