Self-diffusion and structure of a quasi two-dimensional, classical Coulomb gas under increasing magnetic field and temperature
The influence of a magnetic field applied perpendicularly to the plane of a quasi two-dimensional, low-density classical Coulomb gas, with interparticle potential U(r)∼1/r, is studied using momentum-conserving dissipative particle dynamics simulations. The self-diffusion and structure of the gas are...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-12-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.043223 |
| _version_ | 1797210348315475968 |
|---|---|
| author | J. D. Hernández Velázquez Z. Nussinov A. Gama Goicochea |
| author_facet | J. D. Hernández Velázquez Z. Nussinov A. Gama Goicochea |
| author_sort | J. D. Hernández Velázquez |
| collection | DOAJ |
| description | The influence of a magnetic field applied perpendicularly to the plane of a quasi two-dimensional, low-density classical Coulomb gas, with interparticle potential U(r)∼1/r, is studied using momentum-conserving dissipative particle dynamics simulations. The self-diffusion and structure of the gas are studied as functions of temperature and strength of the magnetic field. It is found that the gas undergoes a topological phase transition when the temperature is varied with, in accord with the Bohr–van Leeuwen (BvL) theorem, the structural properties being unaffected, resembling those of the strictly two-dimensional Kosterlitz-Thouless transition, with U(r)∼ln(r). Consistent with the BvL theorem, the transition temperature and the melting process of the condensed phase are unchanged by the field. Conversely, the self-diffusion coefficient of the gas is strongly reduced by the magnetic field. At the largest values of the cyclotron frequency, the self-diffusion coefficient is inversely proportional to the applied magnetic field. The implications of these results are discussed. |
| first_indexed | 2024-04-24T10:09:10Z |
| format | Article |
| id | doaj.art-fdabe8f213a14acc94b9c3c907feda25 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:09:10Z |
| publishDate | 2023-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-fdabe8f213a14acc94b9c3c907feda252024-04-12T17:36:50ZengAmerican Physical SocietyPhysical Review Research2643-15642023-12-015404322310.1103/PhysRevResearch.5.043223Self-diffusion and structure of a quasi two-dimensional, classical Coulomb gas under increasing magnetic field and temperatureJ. D. Hernández VelázquezZ. NussinovA. Gama GoicocheaThe influence of a magnetic field applied perpendicularly to the plane of a quasi two-dimensional, low-density classical Coulomb gas, with interparticle potential U(r)∼1/r, is studied using momentum-conserving dissipative particle dynamics simulations. The self-diffusion and structure of the gas are studied as functions of temperature and strength of the magnetic field. It is found that the gas undergoes a topological phase transition when the temperature is varied with, in accord with the Bohr–van Leeuwen (BvL) theorem, the structural properties being unaffected, resembling those of the strictly two-dimensional Kosterlitz-Thouless transition, with U(r)∼ln(r). Consistent with the BvL theorem, the transition temperature and the melting process of the condensed phase are unchanged by the field. Conversely, the self-diffusion coefficient of the gas is strongly reduced by the magnetic field. At the largest values of the cyclotron frequency, the self-diffusion coefficient is inversely proportional to the applied magnetic field. The implications of these results are discussed.http://doi.org/10.1103/PhysRevResearch.5.043223 |
| spellingShingle | J. D. Hernández Velázquez Z. Nussinov A. Gama Goicochea Self-diffusion and structure of a quasi two-dimensional, classical Coulomb gas under increasing magnetic field and temperature Physical Review Research |
| title | Self-diffusion and structure of a quasi two-dimensional, classical Coulomb gas under increasing magnetic field and temperature |
| title_full | Self-diffusion and structure of a quasi two-dimensional, classical Coulomb gas under increasing magnetic field and temperature |
| title_fullStr | Self-diffusion and structure of a quasi two-dimensional, classical Coulomb gas under increasing magnetic field and temperature |
| title_full_unstemmed | Self-diffusion and structure of a quasi two-dimensional, classical Coulomb gas under increasing magnetic field and temperature |
| title_short | Self-diffusion and structure of a quasi two-dimensional, classical Coulomb gas under increasing magnetic field and temperature |
| title_sort | self diffusion and structure of a quasi two dimensional classical coulomb gas under increasing magnetic field and temperature |
| url | http://doi.org/10.1103/PhysRevResearch.5.043223 |
| work_keys_str_mv | AT jdhernandezvelazquez selfdiffusionandstructureofaquasitwodimensionalclassicalcoulombgasunderincreasingmagneticfieldandtemperature AT znussinov selfdiffusionandstructureofaquasitwodimensionalclassicalcoulombgasunderincreasingmagneticfieldandtemperature AT agamagoicochea selfdiffusionandstructureofaquasitwodimensionalclassicalcoulombgasunderincreasingmagneticfieldandtemperature |