{"title":"Applicability of the Mie–Grüneisen Equation of State Model to Warm Dense Matter Conditions","authors":"Felipe González-Cataldo, Burkhard Militzer","doi":"10.1002/ctpp.70086","DOIUrl":"https://doi.org/10.1002/ctpp.70086","url":null,"abstract":"<div>\u0000 \u0000 <p>The Mie–Grüneisen (MG) model provides a linear relation between thermal pressure (pressure relative to a reference temperature) and the corresponding thermal energy, which is widely used to interpolate and extrapolate equations of state (EOS) beyond experimental data. However, its applicability to warm dense matter (WDM) conditions, where strong coupling and ionization become significant, remains poorly constrained. Here we assess the validity of the MG approximation using first-principles simulations of representative materials—MgO, H, He, Si, CH<sub>2</sub> and others—spanning the condensed and WDM regimes. Combining finite-temperature density functional theory molecular dynamics (DFT-MD) with path integral Monte Carlo (PIMC), we compute consistent pressure and energy relations over a wide range of densities and temperatures. We show that the proportionality between thermal pressure and thermal energy is linear function of density but does depend on temperature, allowing us to build an effective Grüneisen parameter <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>γ</mi>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mrow>\u0000 <mi>V</mi>\u0000 <mo>,</mo>\u0000 <mi>T</mi>\u0000 </mrow>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$$ gamma left(V,Tright) $$</annotation>\u0000 </semantics></math>. However, systematic deviations appear at high temperatures where ionization effects introduce significant temperature dependence in <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>γ</mi>\u0000 </mrow>\u0000 <annotation>$$ gamma $$</annotation>\u0000 </semantics></math>. These results establish the quantitative limits of the Mie–Grüneisen framework in the WDM regime and provide a benchmark for constructing wide-ranging EOS models relevant to inertial confinement fusion and planetary interior studies.</p>\u0000 </div>","PeriodicalId":10700,"journal":{"name":"Contributions to Plasma Physics","volume":"66 7-8","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149072501","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Cover Picture: Contrib. Plasma Phys. 07/2026","authors":"","doi":"10.1002/ctpp.70181","DOIUrl":"https://doi.org/10.1002/ctpp.70181","url":null,"abstract":"<p>Prof. Michael Bonitz at Christian–Albrechts–Universität zu Kiel, Germany, in 2025\u0000\u0000 <figure>\u0000 <div><picture>\u0000 <source></source></picture><p></p>\u0000 </div>\u0000 </figure></p>","PeriodicalId":10700,"journal":{"name":"Contributions to Plasma Physics","volume":"66 7-8","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/ctpp.70181","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149072519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Gerd Röpke, Chengliang Lin, W. Ebeling, H. Reinholz
{"title":"The Virial Expansion of the Hydrogen Equation of State in Comparison to PIMC Simulations: The Quasiparticle Concept, IPD, and Ionization Degree","authors":"Gerd Röpke, Chengliang Lin, W. Ebeling, H. Reinholz","doi":"10.1002/ctpp.70078","DOIUrl":"https://doi.org/10.1002/ctpp.70078","url":null,"abstract":"<p>The properties of plasmas in the low-density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches. Recently, accurate path-integral Monte Carlo (PIMC) simulations were performed for the hydrogen plasma at low densities by Filinov and Bonitz (Phys. Rev. E <b>2023</b>, <i>108</i>, 055212), which made a comparison of the virial expansions and the derivation of interpolation formulas possible. The exact expression for the second virial coefficient is used to test the accuracy of the PIMC simulations and the range of application of the virial expansions. To describe plasmas in a wider range of density and temperature, the concept of quasiparticles is considered. Medium modifications of free and bound states are obtained from the spectral function. Mean-field effects are presented, such as exchange terms, Pauli blocking and screening. The density expansions of the quasiparticle shifts is considered. The combination of PIMC simulations with benchmarks from exact virial expansion results allows us to obtain precise results for the EoS in the low-density range. At low densities, the results are compared with the Saha equation to introduce the medium-dependent ionization potential. The relation to the Beth-Uhlenbeck formula and concepts such as the Mott effect, ionization potential depression (IPD), and ionization degree are discussed. The limits of current PIMC results for hydrogen plasmas are shown. Further improvements of the PIMC simulations are required to compare with analytical benchmarks.</p>","PeriodicalId":10700,"journal":{"name":"Contributions to Plasma Physics","volume":"66 7-8","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/ctpp.70078","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149072638","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Special Issue in Honor of Michael Bonitz's 65th Birthday","authors":"Tobias Dornheim, Peter Hartmann, Jan-Philip Joost","doi":"10.1002/ctpp.70172","DOIUrl":"https://doi.org/10.1002/ctpp.70172","url":null,"abstract":"<p>During his extraordinarily successful career, Prof. Michael Bonitz has made outstanding contributions to a broad range of topics and applications within plasma physics, including cutting-edge nonequilibrium Green's functions methods for the description of the dynamics of quantum many-body systems, quasi-exact quantum Monte Carlo methods for the description of warm dense matter and a variety of innovations for the description of classical and semi-classical plasmas. In this special issue on the occasion of his 65th birthday, we celebrate his career with a selection of <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>24</mn>\u0000 </mrow>\u0000 <annotation>$$ 24 $$</annotation>\u0000 </semantics></math> original research and review articles, that span the full gamut from atmospheric pressure plasma jets and strongly coupled Yukawa systems, over quantum stopping power calculations and ultrafast transitions in X-ray irradiated solids, to ab initio simulations of warm dense matter and x-ray Thomson scattering experiments at key research facilities.</p>","PeriodicalId":10700,"journal":{"name":"Contributions to Plasma Physics","volume":"66 7-8","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/ctpp.70172","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149072700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Oscar Moreno Segura, Yaroslav Pavlyukh, Riku Tuovinen
{"title":"Stability Bounds for the Generalized Kadanoff-Baym Ansatz in the Holstein Dimer","authors":"Oscar Moreno Segura, Yaroslav Pavlyukh, Riku Tuovinen","doi":"10.1002/ctpp.70096","DOIUrl":"https://doi.org/10.1002/ctpp.70096","url":null,"abstract":"<p>Predicting real-time dynamics in correlated systems is demanding: exact two-time Green's function methods are accurate but often too costly, while the Generalized Kadanoff-Baym Ansatz (GKBA) offers time-linear propagation at the risk of uncontrolled behavior. We examine when and why GKBA fails in a minimal yet informative setting, the Holstein dimer that describes electron–phonon coupling. Using a conserving, fully self-consistent electron–phonon self-energy, we map out parameter regions where GKBA dynamics is stable and where it becomes unstable. We trace the onset of these failures to qualitative changes in the model's ground-state solutions obtained from the full nonequilibrium Green's function theory, thereby providing practical stability bounds for GKBA time evolution. We further show that coupling the dimer to electronic leads can damp and, in part, cure these instabilities. The results supply simple diagnostics and guidelines for reliable GKBA simulations of electron–phonon dynamics.</p>","PeriodicalId":10700,"journal":{"name":"Contributions to Plasma Physics","volume":"66 7-8","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/ctpp.70096","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149072641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Structural Stability, Thermodynamic and Transport Properties of Indium Under Two-Temperature Heating","authors":"N. A. Smirnov","doi":"10.1002/ctpp.70070","DOIUrl":"https://doi.org/10.1002/ctpp.70070","url":null,"abstract":"<div>\u0000 \u0000 <p>The density functional theory calculations were done to study the structural stability, thermodynamic and transport properties of indium in the two-temperature warm dense matter regime. The calculations show that in the case of “cold” lattice, the increasing electron temperature <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>T</mi>\u0000 <mi>e</mi>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {T}_e $$</annotation>\u0000 </semantics></math> makes indium gradually change its structure from tetragonal with <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>c</mi>\u0000 <mo>/</mo>\u0000 <mi>a</mi>\u0000 <mo>></mo>\u0000 </mrow>\u0000 <annotation>$$ c/a> $$</annotation>\u0000 </semantics></math> 1 to tetragonal with <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>c</mi>\u0000 <mo>/</mo>\u0000 <mi>a</mi>\u0000 <mo><</mo>\u0000 </mrow>\u0000 <annotation>$$ c/a< $$</annotation>\u0000 </semantics></math> 1 at <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>T</mi>\u0000 <mi>e</mi>\u0000 </msub>\u0000 <mo>></mo>\u0000 </mrow>\u0000 <annotation>$$ {T}_e> $$</annotation>\u0000 </semantics></math> 5.8 kK. One of the intermediate phases in this transformation is the face centered cubic lattice (fcc, <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>c</mi>\u0000 <mo>/</mo>\u0000 <mi>a</mi>\u0000 <mo>=</mo>\u0000 </mrow>\u0000 <annotation>$$ c/a= $$</annotation>\u0000 </semantics></math> 1). Under electron heating the parameter <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>c</mi>\u0000 <mo>/</mo>\u0000 <mi>a</mi>\u0000 </mrow>\u0000 <annotation>$$ c/a $$</annotation>\u0000 </semantics></math> changes smoothly without any discontinuities and the change gets faster as <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>T</mi>\u0000 <mi>e</mi>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {T}_e $$</annotation>\u0000 </semantics></math> grows. As shown by calculations, the electron–phonon coupling factor of indium is relatively small, <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>G</mi>\u0000 <mo>∼</mo>\u0000 </mrow>\u0000 <annotation>$$ Gsim $$</annotation>\u0000 </semantics></math> 5 <span></span><ma","PeriodicalId":10700,"journal":{"name":"Contributions to Plasma Physics","volume":"66 7-8","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149072528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Study of the Electronic and Ionic Structure, for Competing States of Fully and Partially Ionized Hydrogen, Using the Neutral Pseudo-Atom Method as Well as a Classical Map for the Electron Subsystem","authors":"M. W. C. Dharma-wardana","doi":"10.1002/ctpp.70072","DOIUrl":"https://doi.org/10.1002/ctpp.70072","url":null,"abstract":"<div>\u0000 \u0000 <p>Prof. Bonitz and his collaborators have made seminal contributions to the study of the uniform electron fluid and the electron-proton fluid, viz., hydrogen, in using ab initio simulations. as reflected in this festschrift. Here we review the theoretical methods available for these systems where traditional small-parameter methods fail. We use the neutral-pseudo atom (NPA) method, and a classical map for quantum electrons to study hydrogen plasmas. We show that <i>both</i> fully-ionized and partially-ionized hydrogen phases can exist with the same nominal density and temperature, at pressures and temperatures of interest to planetary physics. The mean ionization <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mover>\u0000 <mi>Z</mi>\u0000 <mo>‾</mo>\u0000 </mover>\u0000 </mrow>\u0000 <annotation>$$ overline{Z} $$</annotation>\u0000 </semantics></math>, pair-distribution functions, free energies, pressures and conductivities are calculated for the competing phases. Here <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mover>\u0000 <mi>Z</mi>\u0000 <mo>‾</mo>\u0000 </mover>\u0000 </mrow>\u0000 <annotation>$$ overline{Z} $$</annotation>\u0000 </semantics></math> is also a measure of the miscibility of fully ionized and un-ionized hydrogen. Recent studies using path-integral Monte Carlo methods, and <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>N</mi>\u0000 </mrow>\u0000 <annotation>$$ N $$</annotation>\u0000 </semantics></math>-atom Density Functional Theory (DFT) simulations have provided essential structure data including the electron–electron structure factor <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>S</mi>\u0000 <mi>ee</mi>\u0000 </msub>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>k</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$$ {S}_{ee}(k) $$</annotation>\u0000 </semantics></math> that enters into interpretation of x-ray Thomson scattering and other diagnostics. We show that these structure data can be inexpensively evaluated using classical-map schemes for fully ionized plasmas, and more generally, using one-atom (average-atom) DFT methods for partially ionized systems.</p>\u0000 </div>","PeriodicalId":10700,"journal":{"name":"Contributions to Plasma Physics","volume":"66 7-8","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149072678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Revisiting Bump-on-Tail Instability in Reduced Cairns and Reduced Vasyliunas-Cairns Distributed Plasmas","authors":"Ammarah Sheikh, Sadia Zaheer, Nazish Rubab","doi":"10.1002/ctpp.70064","DOIUrl":"https://doi.org/10.1002/ctpp.70064","url":null,"abstract":"<div>\u0000 \u0000 <p>Numerous spacecraft observations have revealed that particle velocity distributions in space plasmas often exhibit high-energy tails, which can be effectively represented by non-thermal models. In this study, the dispersion and damping characteristics of the bump-on-tail (BOT) instability are revisited using the Vlasov-Poisson formalism of plasma kinetic theory for an isotropic, unmagnetized, and collisionless plasma. The core population is modeled by a Maxwellian distribution, while the high-energy tails are described using one-dimensional reduced Cairns and hybrid Vasyliunas-Cairns (VC) distributions. The corresponding longitudinal dielectric response function is derived analytically and evaluated numerically using solar wind data. The effects of key physical parameters—such as temperature ratio, number density ratio, and the non-thermality indices <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>α</mi>\u0000 </mrow>\u0000 <annotation>$$ alpha $$</annotation>\u0000 </semantics></math> and <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>κ</mi>\u0000 </mrow>\u0000 <annotation>$$ kappa $$</annotation>\u0000 </semantics></math>—are systematically examined to assess their influence on the growth and damping rates of the BOT instability. The results demonstrate that the simultaneous presence of the two non-thermality parameters (<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>α</mi>\u0000 </mrow>\u0000 <annotation>$$ alpha $$</annotation>\u0000 </semantics></math> and <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>κ</mi>\u0000 </mrow>\u0000 <annotation>$$ kappa $$</annotation>\u0000 </semantics></math>) significantly alters the instability behavior. Moreover, temperature and density ratios are found to play a crucial role in modulating the instability characteristics. Overall, this investigation provides a comprehensive framework for understanding wave–particle interactions and energy transfer processes in non-thermal space plasma environments such as the solar wind and magnetosphere.</p>\u0000 </div>","PeriodicalId":10700,"journal":{"name":"Contributions to Plasma Physics","volume":"66 7-8","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149072687","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Thermodynamics of Non-Uniform Systems and Density Functional Theory","authors":"James W. Dufty","doi":"10.1002/ctpp.70068","DOIUrl":"https://doi.org/10.1002/ctpp.70068","url":null,"abstract":"<div>\u0000 \u0000 <p>The relationship of the thermodynamics for non-uniform systems and density functional theory is reviewed. It is observed that the relevant universal functionals are the same in both cases under appropriate conditions for thermodynamics. The variational context arises from the convexity properties of the functionals as represented by equilibrium statistical mechanics. Within thermodynamics a choice of local density or local chemical potential for the local variable can be made. In the latter case a “dual” form for density functional theory applies (“potential functional” theory). The special case of electrons and ions is considered, and the important condition of charge neutrality for thermodynamics is noted. These general results are extended to include the interatomic pair potential as an independent variable. Its conjugate is the equilibrium pair correlation function. As an application, the construction of a classical system to represent a given quantum system in terms of effective potentials is shown to result from the Euler equations of this extended variational formulation.</p>\u0000 </div>","PeriodicalId":10700,"journal":{"name":"Contributions to Plasma Physics","volume":"66 7-8","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149072707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Proliferation of Nonlinear Wave Modulation and Breather Excitations in Superthermal Magnetized Dusty Plasmas","authors":"Nabakumar Ghosh, Trisha Dhar, Biswajit Sahu","doi":"10.1002/ctpp.70141","DOIUrl":"https://doi.org/10.1002/ctpp.70141","url":null,"abstract":"<div>\u0000 \u0000 <p>The present study explores the three-dimensional wave group dynamics and breather excitations associated with dust-acoustic waves (DAWs) in a superthermal magnetized dusty plasma system. The plasma is assumed to consist of inertialess electrons and ions obeying a kappa distribution, and a negatively charged inertial dust fluid under the influence of an external uniform magnetic field. By employing the reductive perturbation method, we derive the Laedke-Spatschek (LS) equation, which governs the dynamics of the nonlinear DAWs in such a plasma configuration. Analytical solutions of the evolution equation predict a wide class of nonlinear localized structures. Furthermore, the analysis reveals that the modulated wave group dynamics can be effectively described by a <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mrow>\u0000 <mn>3</mn>\u0000 <mo>+</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$$ left(3+1right) $$</annotation>\u0000 </semantics></math>-dimensional nonlinear Schrödinger equation (NLSE), accounting for both nonlinear and dispersive effects. The regions of stability and instability of the DAW propagation are delineated in the relevant plasma parameter space, identifying the conditions under which rational breather solutions of NLSE, such as the Peregrine soliton, Akhmediev breather, and Kuznetsov-Ma breather can be excited through modulational instability. The findings provide a comprehensive understanding of the proliferation of nonlinear wave modulation and energy localization phenomena in dusty plasma environments, with potential implications for both space and laboratory plasma systems.</p>\u0000 </div>","PeriodicalId":10700,"journal":{"name":"Contributions to Plasma Physics","volume":"66 6","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148534417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}