1
|
Abstract
The conformational behavior of a coarse-grained finite polymer chain near an attractive spherical surface was investigated by means of multicanonical Monte Carlo computer simulations. In a detailed analysis of canonical equilibrium data over a wide range of sphere radius and temperature, we have constructed entire phase diagrams both for nongrafted and end-grafted polymers. For the identification of the conformational phases, we have calculated several energetic and structural observables such as gyration tensor based shape parameters and their fluctuations by canonical statistical analysis. Despite the simplicity of our model, it qualitatively represents in the considered parameter range real systems that are studied in experiments. The work discussed here could have experimental implications from protein-ligand interactions to designing nanosmart materials.
Collapse
Affiliation(s)
- Handan Arkin
- Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany
- Department of Physics Engineering, Faculty of Engineering, Ankara University, Tandogan, 06100 Ankara, Turkey
| | - Wolfhard Janke
- Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany
| |
Collapse
|
2
|
Williams MJ, Bachmann M. The effect of surface adsorption on tertiary structure formation in helical polymers. J Chem Phys 2017; 147:024902. [DOI: 10.1063/1.4991564] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Matthew J. Williams
- Institute of Engineering, Murray State University, Murray, Kentucky 42071, USA
- Soft Matter Systems Research Group, Center for Simulational Physics, The University of Georgia, Athens, Georgia 30602, USA
| | - Michael Bachmann
- Soft Matter Systems Research Group, Center for Simulational Physics, The University of Georgia, Athens, Georgia 30602, USA
| |
Collapse
|
3
|
Austin KS, Zierenberg J, Janke W. Interplay of Adsorption and Semiflexibility: Structural Behavior of Grafted Polymers under Poor Solvent Conditions. Macromolecules 2017. [DOI: 10.1021/acs.macromol.6b02738] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Affiliation(s)
- Kieran S. Austin
- Institut für Theoretische
Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany
| | - Johannes Zierenberg
- Institut für Theoretische
Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany
| | - Wolfhard Janke
- Institut für Theoretische
Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany
| |
Collapse
|
4
|
Koci T, Bachmann M. Subphase transitions in first-order aggregation processes. Phys Rev E 2017; 95:032502. [PMID: 28415362 DOI: 10.1103/physreve.95.032502] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/17/2016] [Indexed: 11/07/2022]
Abstract
In this paper, we investigate the properties of aggregation transitions in the context of generic coarse-grained homopolymer systems. By means of parallel replica-exchange Monte Carlo methods, we perform extensive simulations of systems consisting of up to 20 individual oligomer chains with five monomers each. Using the tools of the versatile microcanonical inflection-point analysis, we show that the aggregation transition is a first-order process consisting of a sequence of subtransitions between intermediate structural phases. We unravel the properties of these intermediate phases by collecting and analyzing their individual contributions towards the density of states of the system. The central theme of this systematic study revolves around translational entropy and its role in the striking phenomena of missing intermediate phases. We conclude with a brief discussion of the scaling properties of the transition temperature and the latent heat.
Collapse
Affiliation(s)
- Tomas Koci
- Soft Matter Systems Research Group, Center for Simulational Physics, The University of Georgia, Athens, Georgia 30602, USA
| | - Michael Bachmann
- Soft Matter Systems Research Group, Center for Simulational Physics, The University of Georgia, Athens, Georgia 30602, USA.,Instituto de Física, Universidade Federal de Mato Grosso, Cuiabá (MT), Brazil.,Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte (MG), Brazil
| |
Collapse
|
5
|
Wang Q, Jiang SJ, Jia W, Luo MB. Simulation Study on the Coil-Globule Transition and Surface Adsorption of HP Chains. MACROMOL THEOR SIMUL 2016. [DOI: 10.1002/mats.201500071] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Qi Wang
- Department of Physics; Zhejiang University; Hangzhou 310027 China
| | - Si-Jia Jiang
- Department of Physics; Zhejiang University; Hangzhou 310027 China
| | - Wen Jia
- Department of Physics; Zhejiang University; Hangzhou 310027 China
| | - Meng-Bo Luo
- Department of Physics; Zhejiang University; Hangzhou 310027 China
| |
Collapse
|
6
|
Martins PHL, Bachmann M. Interlocking order parameter fluctuations in structural transitions between adsorbed polymer phases. Phys Chem Chem Phys 2016; 18:2143-51. [PMID: 26690091 DOI: 10.1039/c5cp05038c] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
By means of contact-density chain-growth simulations of a simple coarse-grained lattice model for a polymer grafted at a solid homogeneous substrate, we investigate the complementary behavior of the numbers of surface-monomer and monomer-monomer contacts under various solvent and thermal conditions. This pair of contact numbers represents an appropriate set of order parameters that enables the distinct discrimination of significantly different compact phases of polymer adsorption. Depending on the transition scenario, these order parameters can interlock in perfect cooperation. The analysis helps understand the transitions from compact filmlike adsorbed polymer conformations into layered morphologies and dissolved adsorbed structures, respectively, in more detail.
Collapse
Affiliation(s)
- Paulo H L Martins
- Instituto de Física, Universidade Federal de Mato Grosso, 78060-900 Cuiabá, MT, Brazil.
| | | |
Collapse
|
7
|
Koci T, Bachmann M. Confinement effects upon the separation of structural transitions in linear systems with restricted bond fluctuation ranges. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 92:042142. [PMID: 26565203 DOI: 10.1103/physreve.92.042142] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/13/2015] [Indexed: 06/05/2023]
Abstract
By means of advanced parallel replica-exchange Monte Carlo methods we examine the influence of elasticity and confinement on the structural transitions of linear systems with restricted bonded interaction. For this purpose, we adopt a model for coarse-grained flexible polymers of finite length in the dilute regime. Hyperphase diagrams are constructed using energy-dependent canonical quantities to demonstrate the effects of the changes in the range of the confined interaction on the liquid and solid structural phases. With increasing bonded interaction range we observe the disappearance of the liquid phase and the fusion of the gas-liquid (or Θ) and the liquid-solid transitions. One of the most remarkable features, the liquid-gas transition, changes from second to first order if the confined interaction range exceeds a threshold that separates polymeric from nonpolymeric systems. The notoriously difficult sampling of the entropically suppressed conformations in the region of very strong first-order transitions is improved by using multiple Gaussian modified ensembles.
Collapse
Affiliation(s)
- Tomas Koci
- Soft Matter Systems Research Group, Center for Simulational Physics, The University of Georgia, Athens, Georgia 30602, USA
| | - Michael Bachmann
- Soft Matter Systems Research Group, Center for Simulational Physics, The University of Georgia, Athens, Georgia 30602, USA
- Instituto de Física, Universidade Federal de Mato Grosso, Cuiabá (MT), Brazil
- Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte (MG), Brazil
| |
Collapse
|
8
|
Vogel T, Gross J, Bachmann M. Thermodynamics of the adsorption of flexible polymers on nanowires. J Chem Phys 2015; 142:104901. [DOI: 10.1063/1.4913959] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Thomas Vogel
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Jonathan Gross
- Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ), Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany
- Soft Matter Systems Research Group, Center for Simulational Physics, The University of Georgia, Athens, Georgia 30602, USA
| | - Michael Bachmann
- Soft Matter Systems Research Group, Center for Simulational Physics, The University of Georgia, Athens, Georgia 30602, USA
- Instituto de Física, Universidade Federal de Mato Grosso, 78060-900 Cuiabá , Mato Grosso, Brazil
- Departamento de Física, Universidade Federal de Minas Gerais, 31270-901 Belo Horizonte, Minas Gerais, Brazil
| |
Collapse
|
9
|
Luo MB, Ziebarth JD, Wang Y. Interplay of Coil-Globule Transition and Surface Adsorption of a Lattice HP Protein Model. J Phys Chem B 2014; 118:14913-21. [PMID: 25458556 PMCID: PMC4280116 DOI: 10.1021/jp506126d] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/05/2022]
Abstract
![]()
An
end-grafted hydrophobic-polar (HP) model protein chain with
alternating H and P monomers is studied to examine interactions between
the critical adsorption transition due to surface attraction and the
collapse transition due to pairwise attractive H–H interactions.
We find that the critical adsorption phenomenon can always be observed;
however, the critical adsorption temperature TCAP is influenced by the attractive H–H interactions
in some cases. When the collapse temperature Tc is lower than TCAP, the critical
adsorption of the HP chain is similar to that of a homopolymer without
intrachain attractions and TCAP remains
unchanged, whereas the collapse transition is suppressed by the adsorption.
In contrast, for cases where Tc is close
to or higher than TCAP, TCAP of the HP chain is increased, indicating that a collapsed
chain is more easily adsorbed on the surface. The strength of the
H–H attraction also influences the statistical size and shape
of the polymer, with strong H–H attractions resulting in adsorbed
and collapsed chains adopting two-dimensional, circular conformations.
Collapse
Affiliation(s)
- Meng-Bo Luo
- Department of Physics, Zhejiang University , Hangzhou 310027, P. R. China
| | - Jesse D Ziebarth
- Department of Chemistry, The University of Memphis , Memphis, Tennessee 38152, United States
| | - Yongmei Wang
- Department of Chemistry, The University of Memphis , Memphis, Tennessee 38152, United States
| |
Collapse
|
10
|
Möddel M, Janke W, Bachmann M. Adsorption and pattern recognition of polymers at complex surfaces with attractive stripelike motifs. PHYSICAL REVIEW LETTERS 2014; 112:148303. [PMID: 24766025 DOI: 10.1103/physrevlett.112.148303] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/25/2013] [Indexed: 06/03/2023]
Abstract
We construct the complete structural phase diagram of polymer adsorption at substrates with attractive stripelike patterns in the parameter space spanned by the adsorption affinity of the stripes and temperature. Results were obtained by extensive generalized-ensemble Monte Carlo simulations of a generic model for the hybrid organic-inorganic system. By comparing with adhesion properties at homogeneous substrates, we find substantial differences in the formation of adsorbed polymer structures if translational invariance at the surface is broken by a regular pattern. Beside a more specific understanding of polymer adsorption processes, our results are potentially relevant for the design of macromolecular pattern recognition devices such as sensors.
Collapse
Affiliation(s)
- Monika Möddel
- Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ), Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany
| | - Wolfhard Janke
- Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ), Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany
| | - Michael Bachmann
- Center for Simulational Physics, The University of Georgia, Athens, Georgia 30602, USA; Instituto de Física, Universidade Federal de Mato Grosso, 78060-900 Cuiabá, Mato Grosso, Brazil; and Departamento de Física, Universidade Federal de Minas Gerais, 31270-901 Belo Horizonte, Minas Gerais, Brazil
| |
Collapse
|
11
|
Li Y, Wüst T, Landau D. Wang–Landau sampling of the interplay between surface adsorption and folding of HP lattice proteins. MOLECULAR SIMULATION 2014. [DOI: 10.1080/08927022.2013.847273] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
|
12
|
Blavatska V, Janke W. Conformational transitions in random heteropolymer models. J Chem Phys 2014; 140:034904. [DOI: 10.1063/1.4849175] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
13
|
Pattanasiri B, Li YW, Landau DP, Wüst T, Triampo W. Thermodynamics and structural properties of a confined HP protein determined by Wang-Landau simulation. ACTA ACUST UNITED AC 2013. [DOI: 10.1088/1742-6596/454/1/012071] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
|
14
|
Li YW, Wüst T, Landau DP. Generic folding and transition hierarchies for surface adsorption of hydrophobic-polar lattice model proteins. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013; 87:012706. [PMID: 23410358 DOI: 10.1103/physreve.87.012706] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/24/2012] [Revised: 10/12/2012] [Indexed: 06/01/2023]
Abstract
The thermodynamic behavior and structural properties of hydrophobic-polar (HP) lattice proteins interacting with attractive surfaces are studied by means of Wang-Landau sampling. Three benchmark HP sequences (48mer, 67mer, and 103mer) are considered with different types of surfaces, each of which attract either all monomers, only hydrophobic (H) monomers, or only polar (P) monomers, respectively. The diversity of folding behavior in dependence of surface strength is discussed. Analyzing the combined patterns of various structural observables, such as, e.g., the derivatives of the numbers of surface contacts, together with the specific heat, we are able to identify generic categories of folding and transition hierarchies. We also infer a connection between these transition categories and the relative surface strengths, i.e., the ratio of the surface attractive strength to the interchain attraction among H monomers. The validity of our proposed classification scheme is reinforced by the analysis of additional benchmark sequences. We thus believe that the folding hierarchies and identification scheme are generic for HP proteins interacting with attractive surfaces, regardless of chain length, sequence, or surface attraction.
Collapse
Affiliation(s)
- Ying Wai Li
- Center for Simulational Physics, University of Georgia, Athens, Georgia 30602, USA.
| | | | | |
Collapse
|
15
|
Györffy D, Závodszky P, Szilágyi A. "Pull moves" for rectangular lattice polymer models are not fully reversible. IEEE/ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS 2012; 9:1847-1849. [PMID: 23221093 DOI: 10.1109/tcbb.2012.129] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
"Pull moves" is a popular move set for lattice polymer model simulations. We show that the proof given for its reversibility earlier is flawed, and some moves are irreversible, which leads to biases in the parameters estimated from the simulations. We show how to make the move set fully reversible.
Collapse
Affiliation(s)
- Dániel Györffy
- Enzymology, Research Centre for Natural Sciences, Hungarian Academy of Sciences, Karolina ut 29, H-1113 Budapest, Hungary.
| | | | | |
Collapse
|
16
|
Wüst T, Landau DP. Optimized Wang-Landau sampling of lattice polymers: Ground state search and folding thermodynamics of HP model proteins. J Chem Phys 2012; 137:064903. [DOI: 10.1063/1.4742969] [Citation(s) in RCA: 46] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
|
17
|
Swetnam A, Allen MP. Selective adsorption of lattice peptides on patterned surfaces. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 85:062901. [PMID: 23005152 DOI: 10.1103/physreve.85.062901] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/02/2012] [Indexed: 06/01/2023]
Abstract
To study the adsorption of individual peptides in implicit solvent, we propose a version of the Wang-Landau Monte Carlo algorithm that uses a single surface, with no need for a confining wall or grafting. Our "wall-free" method is both more efficient than the traditional ones and free of additional assumptions or approximations. We illustrate it by simulating an HP-model lattice peptide on planar surfaces with a variety of patterns of adsorption sites, discovering a temperature-induced switch of surface selection which is due to a balance of energetic and entropic effects.
Collapse
Affiliation(s)
- Adam Swetnam
- Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom
| | | |
Collapse
|
18
|
Radhakrishna M, Sharma S, Kumar SK. Enhanced Wang Landau sampling of adsorbed protein conformations. J Chem Phys 2012; 136:114114. [DOI: 10.1063/1.3691669] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023] Open
|
19
|
Swetnam A, Brett C, Allen MP. Phase diagrams of knotted and unknotted ring polymers. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 85:031804. [PMID: 22587116 DOI: 10.1103/physreve.85.031804] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/09/2012] [Indexed: 05/31/2023]
Abstract
The phase diagram for a lattice ring polymer under applied force, with variable solvent quality, for different topological knot states, is determined for the first time. In addition to eliminating pseudophases where the polymer is flattened into a single layer, it is found that nontrivial knots result in additional pseudophases under tensile force conditions.
Collapse
Affiliation(s)
- Adam Swetnam
- Department of Physics, University of Warwick, Coventry, United Kingdom
| | | | | |
Collapse
|
20
|
Soudan JM, Basire M, Mestdagh JM, Angelié C. A new Monte Carlo method for getting the density of states of atomic cluster systems. J Chem Phys 2011; 135:144109. [PMID: 22010700 DOI: 10.1063/1.3647333] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A novel Monte Carlo flat histogram algorithm is proposed to get the classical density of states in terms of the potential energy, g(E(p)), for systems with continuous variables such as atomic clusters. It aims at avoiding the long iterative process of the Wang-Landau method and controlling carefully the convergence, but keeping the ability to overcome energy barriers. Our algorithm is based on a preliminary mapping in a series of points (called a σ-mapping), obtained by a two-parameter local probing of g(E(p)), and it converges in only two subsequent reweighting iterations on large intervals. The method is illustrated on the model system of a 432 atom cluster bound by a Rydberg type potential. Convergence properties are first examined in detail, particularly in the phase transition zone. We get g(E(p)) varying by a factor 10(3700) over the energy range [0.01 < E(p) < 6000 eV], covered by only eight overlapping intervals. Canonical quantities are derived, such as the internal energy U(T) and the heat capacity C(V)(T). This reveals the solid to liquid phase transition, lying in our conditions at the triple point. This phase transition is further studied by computing a Lindemann-Berry index, the atomic cluster density n(r), and the pressure, demonstrating the progressive surface melting at this triple point. Some limited results are also given for 1224 and 4044 atom clusters.
Collapse
Affiliation(s)
- J-M Soudan
- Laboratoire Francis Perrin, CNRS-URA 2453, CEA, IRAMIS, Service des Photons Atomes et Molécules, F-91191 Gif-sur-Yvette Cedex, France.
| | | | | | | |
Collapse
|
21
|
Li YW, Wüst T, Landau DP. Monte Carlo simulations of the HP model (the "Ising model" of protein folding). COMPUTER PHYSICS COMMUNICATIONS 2011; 182:1896-1899. [PMID: 21804642 PMCID: PMC3143505 DOI: 10.1016/j.cpc.2010.12.049] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
Using Wang-Landau sampling with suitable Monte Carlo trial moves (pull moves and bond-rebridging moves combined) we have determined the density of states and thermodynamic properties for a short sequence of the HP protein model. For free chains these proteins are known to first undergo a collapse "transition" to a globule state followed by a second "transition" into a native state. When placed in the proximity of an attractive surface, there is a competition between surface adsorption and folding that leads to an intriguing sequence of "transitions". These transitions depend upon the relative interaction strengths and are largely inaccessible to "standard" Monte Carlo methods.
Collapse
Affiliation(s)
- Ying Wai Li
- Center for Simulational Physics, The University of Georgia, Athens, GA 30602, U.S.A
| | | | | |
Collapse
|
22
|
Swetnam AD, Allen MP. Improving the Wang-Landau algorithm for polymers and proteins. J Comput Chem 2010; 32:816-21. [DOI: 10.1002/jcc.21660] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/05/2010] [Accepted: 08/07/2010] [Indexed: 11/09/2022]
|
23
|
Fortuna S, Cheung DL, Troisi A. Hexagonal Lattice Model of the Patterns Formed by Hydrogen-Bonded Molecules on the Surface. J Phys Chem B 2010; 114:1849-58. [DOI: 10.1021/jp9098649] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Sara Fortuna
- Department of Chemistry and Centre for Scientific Computing, University of Warwick, Coventry, United Kingdom
| | - David L. Cheung
- Department of Chemistry and Centre for Scientific Computing, University of Warwick, Coventry, United Kingdom
| | - Alessandro Troisi
- Department of Chemistry and Centre for Scientific Computing, University of Warwick, Coventry, United Kingdom
| |
Collapse
|
24
|
Möddel M, Janke W, Bachmann M. Systematic microcanonical analyses of polymer adsorption transitions. Phys Chem Chem Phys 2010; 12:11548-54. [DOI: 10.1039/c002862b] [Citation(s) in RCA: 40] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|