Grüneisen parameter for strongly coupled Yukawa systems

Khrapak, S. A.

doi:10.1063/1.4980846

Cited by 5 publications

(9 citation statements)

References 46 publications

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“…So far, the GP has found diverse applications in geophysics [3,4], chemical physics [5,6], high-pressure physics, and plasma physics [7][8][9]. Recently, experiments have also started to investigate the GP in heavy-fermion systems [10][11][12], in which the physical properties at low temperatures are dominated by f electrons and their antiferromagnetic exchange interaction with the conduction electrons [13].…”

Section: Introductionmentioning

confidence: 99%

Grüneisen parameters: Origin, identity, and quantum refrigeration

Zhang²,

Guan

2020

Phys. Rev. Research

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In solid-state physics, the Grüneisen parameter (GP) was first introduced to study the effect of volume change of a crystal lattice on its vibrational frequencies and has since been widely used to investigate the characteristic energy scales of systems associated with the changes of external potentials. However, the GP is less investigated in gas systems and especially strongly interacting quantum gases. Here we report on some general results on the origin of the GP, an identity, and caloric effects in ultracold quantum gases. We prove that there exists a simple identity among three different types of GPs, quantifying the caloric effect induced by variations of volume, magnetic field, and interaction, respectively. Using exact Bethe ansatz solutions, we present a rigorous study of these different GPs and the quantum refrigeration in one-dimensional Bose and Fermi gases. Based on the exact equations of states of these systems, we further obtain analytic results for singular behavior of the GPs and the caloric effects at quantum criticality. We also predict the existence of the lowest temperature for cooling near a quantum phase transition. It turns out that the interaction ramp up and down in quantum gases provide a promising protocol of quantum refrigeration in addition to the usual adiabatic demagnetization cooling in solid-state materials.

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Section: Introductionmentioning

confidence: 99%

Grüneisen parameters: Origin, identity, and quantum refrigeration

Zhang²,

Guan

2020

Phys. Rev. Research

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“…where P, P cold , V, E total , and E total cold are the total pressure, cold pressure, volume, total internal energy, and total cold energy of the whole system, respectively. From the Mie-Gr€ uneisen equation, 40 for 2D systems, the Gr€ uneisen parameter can also be directly expressed as…”

Section: F Gr€ Uneisen Parametermentioning

confidence: 99%

“…For any choice of j, the monotonic trend of c G for 2D liquid dusty plasma is completely different from that of c G for the 3D systems, whose variation trend depends on the value of j. 40 In Fig. 7, we plot the Gr€ uneisen parameter for 2D liquid dusty plasmas, c G , in 3D above the plane of T and j.…”

Section: F Gr€ Uneisen Parametermentioning

confidence: 99%

“…[45][46][47] The Gr€ uneisen parameter also has applications in the study of substances at high temperatures and under high pressures, like in shockwave experiments. 40 However, from our literature search, we found that the study of the Gr€ uneisen parameter in dusty plasmas is still limited. We found that Khrapak 40 successfully studied the Gr€ uneisen parameter for 3D Yukawa systems.…”

Section: Introductionmentioning

confidence: 99%

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Specific heat and Grüneisen parameter for 2D liquid dusty plasmas

Huang

Lin

et al. 2017

Physics of Plasmas

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The specific heat and Gr€ uneisen parameter for 2D liquid dusty plasmas have been studied using the concepts of cold/thermal pressure and energy. Based on molecular dynamics simulations, the recently obtained expression of the pressure for 2D liquid dusty plasmas is composed of two terms, which just follow the traditional definitions of the cold pressure and thermal pressure, respectively. The obtained energy results from simulations for 2D liquid dusty plasmas are fit to two terms, one is independent of the temperature and the other is dependent on the temperature, so that they agree with the definitions of the cold and thermal energies. The obtained thermal/cold pressure/energy from fitting are self-consistent in the thermodynamics relationship, suggesting that the methodology developed here is reliable. Thus, the specific heat of 2D liquid dusty plasmas can be derived analytically from the thermal energy, and the specific heat results obtained here are well consistent with previous studies using different approaches. The obtained specific heat decays as both the screening parameter and the temperature increase, and the corresponding physics interpretation is presented. Finally, the Gr€ uneisen parameter for 2D liquid dusty plasma is obtained from the obtained expressions of the thermal pressure and energy, and its variation trend has also been discussed. Published by AIP Publishing. [http://dx.

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“…Usually, it was determined from the ratio of thermal expansion to specific heat, quantifying the pressure dependence of characteristic energy scales of solid materials. Nowadays, it is extensively studied in geophysics [3,4], plasma physics [5][6][7], chemistry physics [8,9] and various fields of physics. The GP has recently been investigated in heavy fermion systems [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Grüneisen parameters for the Lieb-Liniger and Yang-Gaudin models

Guan

2019

Phys. Rev. B

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Using the Bethe ansatz solution, we analytically study expansionary, magnetic and interacting Grüneisen parameters (GPs) for one-dimensional (1D) Lieb-Liniger and Yang-Gaudin models. These different GPs elegantly quantify the dependences of characteristic energy scales of these quantum gases on the volume, the magnetic field and the interaction strength, revealing the caloric effects resulted from the variations of these potentials. The obtained GPs further confirm an identity which is incurred by the symmetry of the thermal potential. We also present universal scaling behavior of these GPs in the vicinities of the quantum critical points driven by different potentials. The divergence of the GPs not only provides an experimental identification of non-Fermi liquid nature at quantum criticality but also elegantly determine low temperature phases of the quantum gases. Moreover, the pairing and depairing features in the 1D attractive Fermi gases can be captured by the magnetic and interacting GPs, facilitating experimental observation of quantum phase transitions.Our results open to further study the interaction-and magnetic-field-driven quantum refrigeration and quantum heat engine in quantum gases of ultracold atoms.PACS numbers:

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Grüneisen parameter for strongly coupled Yukawa systems

Abstract: The Grüneisen parameter is evaluated for three-dimensional Yukawa systems in the strongly coupled regime. Simple analytical expression is derived from the thermodynamic consideration and its structure is analysed in detail. Possible applications are briefly discussed.

Cited by 5 publications

References 46 publications

Grüneisen parameters: Origin, identity, and quantum refrigeration

Grüneisen parameters: Origin, identity, and quantum refrigeration

Specific heat and Grüneisen parameter for 2D liquid dusty plasmas

Grüneisen parameters for the Lieb-Liniger and Yang-Gaudin models

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