Thermodynamic properties of a charged particle in non-uniform magnetic field

• URL: http://arxiv.org/abs/2102.12517v1
• Date: Mon, 22 Feb 2021 11:17:25 GMT
• Title: Thermodynamic properties of a charged particle in non-uniform magnetic field
• Authors: H. R. Rastegar Sedehi, Altug Arda and Ramazan Sever
• Abstract summary: We find the energy spectrum and the wave function, and present an explicit relation for the partition function. It is concluded that the specific heat and magnetic susceptibility increase with external magnetic field strength.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We solve the Schr\"odinger equation for a charged particle in the non-uniform magnetic field by using the Nikiforov-Uvarov method. We find the energy spectrum and the wave function, and present an explicit relation for the partition function. We give analytical expressions for the thermodynamic properties such as mean energy and magnetic susceptibility, and analyze the entropy, free energy and specific heat of this system numerically. It is concluded that the specific heat and magnetic susceptibility increase with external magnetic field strength and different values of the non-uniformity parameter, $\alpha$, in the low temperature region, while the mentioned quantities are decreased in high temperature regions due to increasing the occupied levels at these regions. The non-uniformity parameter has the same effect with a constant value of the magnetic field on the behavior of thermodynamic properties. On the other hand, the results show that transition from positive to negative magnetic susceptibility depends on the values of non-uniformity parameter in the constant external magnetic field.

Related papers

• Effects of external field and potential on non-relativistic quantum particles in disclinations background [0.0]
  In this work, we investigate the behavior of non-relativistic quantum particles immersed in a cosmic string space-time background. We employ analytical methods to solve the associated wave equation, leading to the derivation of eigenvalue solutions for this quantum system. In an extension of our investigation, we explore the thermodynamic and magnetic properties of the quantum system when it is exposed to non-zero temperature conditions.
  arXiv  Detail & Related papers  (2024-05-26T05:42:49Z)
• Quantum flux effects on the energy spectra and thermo-magnetic properties in 2D Schrodinger equation with Mobius square potential [0.0]
  A 2D Schrodinger equation with interacting Mobius square potential model is solved using Nikiforov-Uvarov Functional Analysis (NUFA) formalism. The evaluated energy spectra are used to obtain an expression for the partition functions for the two cases. The numerical bound state energies are computed.
  arXiv  Detail & Related papers  (2023-04-09T13:47:41Z)
• Heat transport and cooling performance in a nanomechanical system with local and non local interactions [68.8204255655161]
  We study heat transport through a one dimensional time-dependent nanomechanical system. The system presents different stationary transport regimes depending on the driving frequency, temperature gradients and the degree of locality of the interactions.
  arXiv  Detail & Related papers  (2022-02-21T12:03:54Z)
• Spin-1/2 particles under the influence of a uniform magnetic field in the interior Schwarzschild solution [62.997667081978825]
  relativistic wave equation for spin-1/2 particles in the interior Schwarzschild solution in the presence of a uniform magnetic field is obtained. Results are relevant to the physics of the interior of neutron stars, where both the gravitational and the magnetic fields are very intense.
  arXiv  Detail & Related papers  (2021-11-30T14:46:00Z)
• Dynamical Noncommutative Graphene [0.0]
  We study graphene in a two-dimensional dynamical noncommutative space in the presence of a constant magnetic field. The model is solved using perturbation theory and to the second order of perturbation. In addition, we investigate some of the thermodynamic quantities of the system at zero temperature limit and extreme relativistic case.
  arXiv  Detail & Related papers  (2021-10-21T21:13:59Z)
• Dispersive readout of molecular spin qudits [68.8204255655161]
  We study the physics of a magnetic molecule described by a "giant" spin with multiple $d > 2$ spin states. We derive an expression for the output modes in the dispersive regime of operation. We find that the measurement of the cavity transmission allows to uniquely determine the spin state of the qudits.
  arXiv  Detail & Related papers  (2021-09-29T18:00:09Z)
• Solutions of the 2D Schrodinger equation and its thermal properties for Improved Ultra Generalized Exponential Hyperbolic potential (IUGE-HP) [0.5059126718866467]
  The effects external magnetic and Aharanov-Bohm (AB) fields within the non-relativistic quantum mechanics regime are studied. The numerical energy spectra is analyzed and it is observed that the presence of the external fields eliminates degeneracy from the spectra. The thermal and magnetic properties of the IUGE-HP in the presence of this external fields are investigated.
  arXiv  Detail & Related papers  (2021-04-05T19:02:15Z)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)
• Information and thermodynamic properties of a non-Hermitian particle ensemble [0.0]
  We show how Shannon's entropy and thermodynamic properties are modified with the action of the magnetic field. We study an ensemble of spinless particles in the presence of a uniform magnetic field.
  arXiv  Detail & Related papers  (2021-01-12T23:35:22Z)
• New approach to describe two coupled spins in a variable magnetic field [55.41644538483948]
  We describe the evolution of two spins coupled by hyperfine interaction in an external time-dependent magnetic field. We modify the time-dependent Schr"odinger equation through a change of representation. The solution is highly simplified when an adiabatically varying magnetic field perturbs the system.
  arXiv  Detail & Related papers  (2020-11-23T17:29:31Z)
• Out-of-equilibrium quantum thermodynamics in the Bloch sphere: temperature and internal entropy production [68.8204255655161]
  An explicit expression for the temperature of an open two-level quantum system is obtained. This temperature coincides with the environment temperature if the system reaches thermal equilibrium with a heat reservoir. We show that within this theoretical framework the total entropy production can be partitioned into two contributions.
  arXiv  Detail & Related papers  (2020-04-09T23:06:43Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.